tabel matematika

TABEL MATEMATIKA, STATISTIKA, DAN FISIKA

(untuk sd, smp, sma, dan perguruan tinggi)

ONDI SAONDI, M.Pd.

RUMAH BUKU PRESS

TABEL MATEMATIKA, STATISTIKA, DAN FISIKA(untuk sd, smp, sma, dan perguruan tinggi)Hak Cipta © Ondi Saondi, S.Pd., M.Pd.Web Site : ondisaondi.wordpress.come-mail : [email protected]

Badan Penerbit : Rumah Buku PressAlamat : Griya Bojong Indah No. C 11 Serang Kuningan JABAR 45511

ISBN

Cetakan Pertama 2007

Hak cipta dilindungi oleh Undang-Undang.Dilarang mengutip atau memperbanyak sebagian Atau seluruh isi buku ini tanpa izin tertulis dari Penerbit.

ondisaondi.wordpress.com / department of mathematics

mailto:[email protected]

KATA PENGANTAR

Kegiatan belajar mengajar yang produktif mesti

di tunjang oleh fasilitas yang memadai. Buku merupakan

fasilitas yang harus tersedia. Oleh karena itu, penulis

berusaha memenuhi kebutuhan buku yakni berupa buku

TABEL MATEMATIKA, STATISTIKA, DAN FISIKA . Buku

dapat dimanfaatkan oeh berbagai jenjang pendidikan

mulai dari tingkat dasar sampai dengan perguruan tinggi.

Terima kasih kepada bapak DR. Uhar

Suharsaputra, M.Pd. yang telah mendorong penulis

menyelesaikan buku ini. Tak lupa juga buat Dikdik Harjadi,

M.Si , dan kang Ajat, M.Pd. yang telah membantu dalam

penyelesaian buku ini. Terima kasih juga buat teh

susilawati, M.Pd dan ibu iin sunarti.

Semoga buku ini bermanfaat bagi pembaca. Bila

kita ingin eksis dalam hidup dan berkarya ingatlah kata

socrates : “lebih baik menderita kezaliman daripada

berbuat zalim”

Oleced, Januari 2008

Ondi Saondi


Untuk kedua orang termulia,Ayahanda dan Ibunda :Ema Unah, Abah Uja,

Orang yang aku hormati:Ema Utiti, Abah Etok, Ni Inah, Aki Emod

Pendamping setiaku,Eros Rosmiati , S.Ag.

Dan Anakku tersayang :Dilah


DAFTAR ISI

KATA PENGANTAR .............................

ii

Lembar Persembahan .............................

iii

Ucapan Terima Kasih .............................

iv

DAFTAR ISI .............................

v

LOGARTMA EMPAT DESIMAL .............................

1

LOGARITMA BIASA DARI BILANGAN 1 SAMPAI DENGAN 11000

...........................

..4

LOGARITMA NATURAL .............................

30

TRIGONOMETRI .............................

31

LOGARITMA TRIGONOMETRI .............................

35

BEBERAPA NILAI EULER .............................

39

FAKTORIAL .............................

40


KONVERSI DERAJAT KE RADIAN .............................

41

KONVERSI RADIAN KE DERAJAT .............................

42

KUADRAT DAN PANGKAT .............................

43

HITUNG KEUANGAN .............................

47

LUAS DIBAWAH LENGKUNGAN NORMAL STANDAR

...........................

..52

TABEL DEVIASI NORMAL .............................

53

DISTRIBUSI t .............................

54

DISTRIBUSI F .............................

57

DISTRIBUSI CHI KUADRAT .............................

63

NILAI KRITIS UJI LILIEFORS .............................

66

NILAI KRITIS UJI KORELASI RANK .............................

67

NILAI KRITIS h UNTUK UJI TANDA .............................

68


DISTRIBUSI KUMULATIF BINOMIAL .............................

69

NILAI KOEFISIEN BINOM .............................

73

NILAI KRITIS UJI WILCOXON .............................

74

NILAI KRITIS UJI RUNTUN .............................

75

TRASFORMASI FISHER .............................

76

INVERS FISHER .............................

77

FISIKA .............................

79

TENTANG PENULIS .............................

81


LOGARITMA EMPAT DESIMAL (BASIS 10)

N 0 1 2 3 4 5 6 7 8 910 1 1,0043 1,0086 1,0128 1,017 1,0212 1,0253 1,0294 1,0334 1,037411 1,0414 1,0453 1,0492 1,0531 1,0569 1,0607 1,0645 1,0682 1,0719 1,075512 1,0792 1,0828 1,0864 1,0899 1,0934 1,0969 1,1004 1,1038 1,1072 1,110613 1,1139 1,1173 1,1206 1,1239 1,1271 1,1303 1,1335 1,1367 1,1399 1,14314 1,1461 1,1492 1,1523 1,1553 1,1584 1,1614 1,1644 1,1673 1,1703 1,173215 1,1761 1,179 1,1818 1,1847 1,1875 1,1903 1,1931 1,1959 1,1987 1,201416 1,2041 1,2068 1,2095 1,2122 1,2148 1,2175 1,2201 1,2227 1,2253 1,227917 1,2304 1,233 1,2355 1,238 1,2405 1,243 1,2455 1,248 1,2504 1,252918 1,2553 1,2577 1,2601 1,2625 1,2648 1,2672 1,2695 1,2718 1,2742 1,276519 1,2788 1,281 1,2833 1,2856 1,2878 1,29 1,2923 1,2945 1,2967 1,298920 1,301 1,3032 1,3054 1,3075 1,3096 1,3118 1,3139 1,316 1,3181 1,320121 1,3222 1,3243 1,3263 1,3284 1,3304 1,3324 1,3345 1,3365 1,3385 1,340422 1,3424 1,3444 1,3464 1,3483 1,3502 1,3522 1,3541 1,356 1,3579 1,359823 1,3617 1,3636 1,3655 1,3674 1,3692 1,3711 1,3729 1,3747 1,3766 1,378424 1,3802 1,382 1,3838 1,3856 1,3874 1,3892 1,3909 1,3927 1,3945 1,396225 1,3979 1,3997 1,4014 1,4031 1,4048 1,4065 1,4082 1,4099 1,4116 1,413326 1,415 1,4166 1,4183 1,42 1,4216 1,4232 1,4249 1,4265 1,4281 1,429827 1,4314 1,433 1,4346 1,4362 1,4378 1,4393 1,4409 1,4425 1,444 1,445628 1,4472 1,4487 1,4502 1,4518 1,4533 1,4548 1,4564 1,4579 1,4594 1,460929 1,4624 1,4639 1,4654 1,4669 1,4683 1,4698 1,4713 1,4728 1,4742 1,475730 1,4771 1,4786 1,48 1,4814 1,4829 1,4843 1,4857 1,4871 1,4886 1,4931 1,4914 1,4928 1,4942 1,4955 1,4969 1,4983 1,4997 1,5011 1,5024 1,503832 1,5051 1,5065 1,5079 1,5092 1,5105 1,5119 1,5132 1,5145 1,5159 1,517233 1,5185 1,5198 1,5211 1,5224 1,5237 1,525 1,5263 1,5276 1,5289 1,530234 1,5315 1,5328 1,534 1,5353 1,5366 1,5378 1,5391 1,5403 1,5416 1,542835 1,5441 1,5453 1,5465 1,5478 1,549 1,5502 1,5514 1,5527 1,5539 1,555136 1,5563 1,5575 1,5587 1,5599 1,5611 1,5623 1,5635 1,5647 1,5658 1,56737 1,5682 1,5694 1,5705 1,5717 1,5729 1,574 1,5752 1,5763 1,5775 1,578638 1,5798 1,5809 1,5821 1,5832 1,5843 1,5855 1,5866 1,5877 1,5888 1,589939 1,5911 1,5922 1,5933 1,5944 1,5955 1,5966 1,5977 1,5988 1,5999 1,60140 1,6021 1,6031 1,6042 1,6053 1,6064 1,6075 1,6085 1,6096 1,6107 1,611741 1,6128 1,6138 1,6149 1,616 1,617 1,618 1,6191 1,6201 1,6212 1,622242 1,6232 1,6243 1,6253 1,6263 1,6274 1,6284 1,6294 1,6304 1,6314 1,632543 1,6335 1,6345 1,6355 1,6365 1,6375 1,6385 1,6395 1,6405 1,6415 1,642544 1,6435 1,6444 1,6454 1,6464 1,6474 1,6484 1,6493 1,6503 1,6513 1,652245 1,6532 1,6542 1,6551 1,6561 1,6571 1,658 1,659 1,6599 1,6609 1,661846 1,6628 1,6637 1,6646 1,6656 1,6665 1,6675 1,6684 1,6693 1,6702 1,671247 1,6721 1,673 1,6739 1,6749 1,6758 1,6767 1,6776 1,6785 1,6794 1,680348 1,6812 1,6821 1,683 1,6839 1,6848 1,6857 1,6866 1,6875 1,6884 1,689349 1,6902 1,6911 1,692 1,6928 1,6937 1,6946 1,6955 1,6964 1,6972 1,698150 1,699 1,6998 1,7007 1,7016 1,7024 1,7033 1,7042 1,705 1,7059 1,7067

51 1,7076 1,7084 1,7093 1,7101 1,711 1,7118 1,7126 1,7135 1,7143 1,715252 1,716 1,7168 1,7177 1,7185 1,7193 1,7202 1,721 1,7218 1,7226 1,723553 1,7243 1,7251 1,7259 1,7267 1,7275 1,7284 1,7292 1,73 1,7308 1,7316

ondisaondi.wordpress.com /department of mathematics 1

54 1,7324 1,7332 1,734 1,7348 1,7356 1,7364 1,7372 1,738 1,7388 1,739655 1,7404 1,7412 1,7419 1,7427 1,7435 1,7443 1,7451 1,7459 1,7466 1,747456 1,7482 1,749 1,7497 1,7505 1,7513 1,752 1,7528 1,7536 1,7543 1,755157 1,7559 1,7566 1,7574 1,7582 1,7589 1,7597 1,7604 1,7612 1,7619 1,762758 1,7634 1,7642 1,7649 1,7657 1,7664 1,7672 1,7679 1,7686 1,7694 1,770159 1,7709 1,7716 1,7723 1,7731 1,7738 1,7745 1,7752 1,776 1,7767 1,777460 1,7782 1,7789 1,7796 1,7803 1,781 1,7818 1,7825 1,7832 1,7839 1,784661 1,7853 1,786 1,7868 1,7875 1,7882 1,7889 1,7896 1,7903 1,791 1,791762 1,7924 1,7931 1,7938 1,7945 1,7952 1,7959 1,7966 1,7973 1,798 1,798763 1,7993 1,8 1,8007 1,8014 1,8021 1,8028 1,8035 1,8041 1,8048 1,805564 1,8062 1,8069 1,8075 1,8082 1,8089 1,8096 1,8102 1,8109 1,8116 1,812265 1,8129 1,8136 1,8142 1,8149 1,8156 1,8162 1,8169 1,8176 1,8182 1,818966 1,8195 1,8202 1,8209 1,8215 1,8222 1,8228 1,8235 1,8241 1,8248 1,825467 1,8261 1,8267 1,8274 1,828 1,8287 1,8293 1,8299 1,8306 1,8312 1,831968 1,8325 1,8331 1,8338 1,8344 1,8351 1,8357 1,8363 1,837 1,8376 1,838269 1,8388 1,8395 1,8401 1,8407 1,8414 1,842 1,8426 1,8432 1,8439 1,844570 1,8451 1,8457 1,8463 1,847 1,8476 1,8482 1,8488 1,8494 1,85 1,850671 1,8513 1,8519 1,8525 1,8531 1,8537 1,8543 1,8549 1,8555 1,8561 1,856772 1,8573 1,8579 1,8585 1,8591 1,8597 1,8603 1,8609 1,8615 1,8621 1,862773 1,8633 1,8639 1,8645 1,8651 1,8657 1,8663 1,8669 1,8675 1,8681 1,868674 1,8692 1,8698 1,8704 1,871 1,8716 1,8722 1,8727 1,8733 1,8739 1,874575 1,8751 1,8756 1,8762 1,8768 1,8774 1,8779 1,8785 1,8791 1,8797 1,880276 1,8808 1,8814 1,882 1,8825 1,8831 1,8837 1,8842 1,8848 1,8854 1,885977 1,8865 1,8871 1,8876 1,8882 1,8887 1,8893 1,8899 1,8904 1,891 1,891578 1,8921 1,8927 1,8932 1,8938 1,8943 1,8949 1,8954 1,896 1,8965 1,897179 1,8976 1,8982 1,8987 1,8993 1,8998 1,9004 1,9009 1,9015 1,902 1,902580 1,9031 1,9036 1,9042 1,9047 1,9053 1,9058 1,9063 1,9069 1,9074 1,907981 1,9085 1,909 1,9096 1,9101 1,9106 1,9112 1,9117 1,9122 1,9128 1,913382 1,9138 1,9143 1,9149 1,9154 1,9159 1,9165 1,917 1,9175 1,918 1,918683 1,9191 1,9196 1,9201 1,9206 1,9212 1,9217 1,9222 1,9227 1,9232 1,923884 1,9243 1,9248 1,9253 1,9258 1,9263 1,9269 1,9274 1,9279 1,9284 1,928985 1,9294 1,9299 1,9304 1,9309 1,9315 1,932 1,9325 1,933 1,9335 1,93486 1,9345 1,935 1,9355 1,936 1,9365 1,937 1,9375 1,938 1,9385 1,93987 1,9395 1,94 1,9405 1,941 1,9415 1,942 1,9425 1,943 1,9435 1,94488 1,9445 1,945 1,9455 1,946 1,9465 1,9469 1,9474 1,9479 1,9484 1,948989 1,9494 1,9499 1,9504 1,9509 1,9513 1,9518 1,9523 1,9528 1,9533 1,953890 1,9542 1,9547 1,9552 1,9557 1,9562 1,9566 1,9571 1,9576 1,9581 1,958691 1,959 1,9595 1,96 1,9605 1,9609 1,9614 1,9619 1,9624 1,9628 1,963392 1,9638 1,9643 1,9647 1,9652 1,9657 1,9661 1,9666 1,9671 1,9675 1,96893 1,9685 1,9689 1,9694 1,9699 1,9703 1,9708 1,9713 1,9717 1,9722 1,972794 1,9731 1,9736 1,9741 1,9745 1,975 1,9754 1,9759 1,9763 1,9768 1,977395 1,9777 1,9782 1,9786 1,9791 1,9795 1,98 1,9805 1,9809 1,9814 1,981896 1,9823 1,9827 1,9832 1,9836 1,9841 1,9845 1,985 1,9854 1,9859 1,986397 1,9868 1,9872 1,9877 1,9881 1,9886 1,989 1,9894 1,9899 1,9903 1,990898 1,9912 1,9917 1,9921 1,9926 1,993 1,9934 1,9939 1,9943 1,9948 1,995299 1,9956 1,9961 1,9965 1,9969 1,9974 1,9978 1,9983 1,9987 1,9991 1,9996

LOGARITMA BIASA


DARI BILANGAN 1 SAMPAI DENGAN 11000

N Log N Log N Log N Log1 0 26 1,415 51 1,7076 76 1,88082 0,301 27 1,4314 52 1,716 77 1,88653 0,4771 28 1,4472 53 1,7243 78 1,89214 0,6021 29 1,4624 54 1,7324 79 1,89765 0,699 30 1,4771 55 1,7404 80 1,90316 0,7782 31 1,4914 56 1,7482 81 1,90857 0,8451 32 1,5051 57 1,7559 82 1,91388 0,9031 33 1,5185 58 1,7634 83 1,91919 0,9542 34 1,5315 59 1,7709 84 1,924310 1 35 1,5441 60 1,7782 85 1,929411 1,0414 36 1,5563 61 1,7853 86 1,934512 1,0792 37 1,5682 62 1,7924 87 1,939513 1,1139 38 1,5798 63 1,7993 88 1,944514 1,1461 39 1,5911 64 1,8062 89 1,949415 1,1761 40 1,6021 65 1,8129 90 1,954216 1,2041 41 1,6128 66 1,8195 91 1,95917 1,2304 42 1,6232 67 1,8261 92 1,963818 1,2553 43 1,6335 68 1,8325 93 1,968519 1,2788 44 1,6435 69 1,8388 94 1,973120 1,301 45 1,6532 70 1,8451 95 1,977721 1,3222 46 1,6628 71 1,8513 96 1,982322 1,3424 47 1,6721 72 1,8573 97 1,986823 1,3617 48 1,6812 73 1,8633 98 1,991224 1,3802 49 1,6902 74 1,8692 99 1,995625 1,3979 50 1,699 75 1,8751 100 2

1 – 500 Logaritma Biasa

N 0 1 2 3 4 5 6 7 8 90 0 0,301 0,4771 0,6021 0,699 0,7782 0,8451 0,9031 0,95421 1 1,0414 1,0792 1,1139 1,1461 1,1761 1,2041 1,2304 1,2553 1,27882 1,301 1,3222 1,3424 1,3617 1,3802 1,3979 1,415 1,4314 1,4472 1,46243 1,4771 1,4914 1,5051 1,5185 1,5315 1,5441 1,5563 1,5682 1,5798 1,59114 1,6021 1,6128 1,6232 1,6335 1,6435 1,6532 1,6628 1,6721 1,6812 1,6902


5 1,699 1,7076 1,716 1,7243 1,7324 1,7404 1,7482 1,7559 1,7634 1,77096 1,7782 1,7853 1,7924 1,7993 1,8062 1,8129 1,8195 1,8261 1,8325 1,83887 1,8451 1,8513 1,8573 1,8633 1,8692 1,8751 1,8808 1,8865 1,8921 1,89768 1,9031 1,9085 1,9138 1,9191 1,9243 1,9294 1,9345 1,9395 1,9445 1,94949 1,9542 1,959 1,9638 1,9685 1,9731 1,9777 1,9823 1,9868 1,9912 1,995610 2 2,0043 2,0086 2,0128 2,017 2,0212 2,0253 2,0294 2,0334 2,037411 2,0414 2,0453 2,0492 2,0531 2,0569 2,0607 2,0645 2,0682 2,0719 2,075512 2,0792 2,0828 2,0864 2,0899 2,0934 2,0969 2,1004 2,1038 2,1072 2,110613 2,1139 2,1173 2,1206 2,1239 2,1271 2,1303 2,1335 2,1367 2,1399 2,14314 2,1461 2,1492 2,1523 2,1553 2,1584 2,1614 2,1644 2,1673 2,1703 2,173215 2,1761 2,179 2,1818 2,1847 2,1875 2,1903 2,1931 2,1959 2,1987 2,201416 2,2041 2,2068 2,2095 2,2122 2,2148 2,2175 2,2201 2,2227 2,2253 2,227917 2,2304 2,233 2,2355 2,238 2,2405 2,243 2,2455 2,248 2,2504 2,252918 2,2553 2,2577 2,2601 2,2625 2,2648 2,2672 2,2695 2,2718 2,2742 2,276519 2,2788 2,281 2,2833 2,2856 2,2878 2,29 2,2923 2,2945 2,2967 2,298920 2,301 2,3032 2,3054 2,3075 2,3096 2,3118 2,3139 2,316 2,3181 2,320121 2,3222 2,3243 2,3263 2,3284 2,3304 2,3324 2,3345 2,3365 2,3385 2,340422 2,3424 2,3444 2,3464 2,3483 2,3502 2,3522 2,3541 2,356 2,3579 2,359823 2,3617 2,3636 2,3655 2,3674 2,3692 2,3711 2,3729 2,3747 2,3766 2,378424 2,3802 2,382 2,3838 2,3856 2,3874 2,3892 2,3909 2,3927 2,3945 2,396225 2,3979 2,3997 2,4014 2,4031 2,4048 2,4065 2,4082 2,4099 2,4116 2,413326 2,415 2,4166 2,4183 2,42 2,4216 2,4232 2,4249 2,4265 2,4281 2,429827 2,4314 2,433 2,4346 2,4362 2,4378 2,4393 2,4409 2,4425 2,444 2,445628 2,4472 2,4487 2,4502 2,4518 2,4533 2,4548 2,4564 2,4579 2,4594 2,460929 2,4624 2,4639 2,4654 2,4669 2,4683 2,4698 2,4713 2,4728 2,4742 2,475730 2,4771 2,4786 2,48 2,4814 2,4829 2,4843 2,4857 2,4871 2,4886 2,4931 2,4914 2,4928 2,4942 2,4955 2,4969 2,4983 2,4997 2,5011 2,5024 2,503832 2,5051 2,5065 2,5079 2,5092 2,5105 2,5119 2,5132 2,5145 2,5159 2,517233 2,5185 2,5198 2,5211 2,5224 2,5237 2,525 2,5263 2,5276 2,5289 2,530234 2,5315 2,5328 2,534 2,5353 2,5366 2,5378 2,5391 2,5403 2,5416 2,542835 2,5441 2,5453 2,5465 2,5478 2,549 2,5502 2,5514 2,5527 2,5539 2,555136 2,5563 2,5575 2,5587 2,5599 2,5611 2,5623 2,5635 2,5647 2,5658 2,56737 2,5682 2,5694 2,5705 2,5717 2,5729 2,574 2,5752 2,5763 2,5775 2,578638 2,5798 2,5809 2,5821 2,5832 2,5843 2,5855 2,5866 2,5877 2,5888 2,589939 2,5911 2,5922 2,5933 2,5944 2,5955 2,5966 2,5977 2,5988 2,5999 2,60140 2,6021 2,6031 2,6042 2,6053 2,6064 2,6075 2,6085 2,6096 2,6107 2,611741 2,6128 2,6138 2,6149 2,616 2,617 2,618 2,6191 2,6201 2,6212 2,622242 2,6232 2,6243 2,6253 2,6263 2,6274 2,6284 2,6294 2,6304 2,6314 2,632543 2,6335 2,6345 2,6355 2,6365 2,6375 2,6385 2,6395 2,6405 2,6415 2,642544 2,6435 2,6444 2,6454 2,6464 2,6474 2,6484 2,6493 2,6503 2,6513 2,652245 2,6532 2,6542 2,6551 2,6561 2,6571 2,658 2,659 2,6599 2,6609 2,661846 2,6628 2,6637 2,6646 2,6656 2,6665 2,6675 2,6684 2,6693 2,6702 2,671247 2,6721 2,673 2,6739 2,6749 2,6758 2,6767 2,6776 2,6785 2,6794 2,680348 2,6812 2,6821 2,683 2,6839 2,6848 2,6857 2,6866 2,6875 2,6884 2,689349 2,6902 2,6911 2,692 2,6928 2,6937 2,6946 2,6955 2,6964 2,6972 2,6981500 – 1000 Logaritma Biasa

N 0 1 2 3 4 5 6 7 8 950 2,6998 2,7007 2,7016 2,7024 2,7033 2,7042 2,705 2,7059 2,706751 2,7076 2,7084 2,7093 2,7101 2,711 2,7118 2,7126 2,7135 2,7143 2,715252 2,716 2,7168 2,7177 2,7185 2,7193 2,7202 2,721 2,7218 2,7226 2,723553 2,7243 2,7251 2,7259 2,7267 2,7275 2,7284 2,7292 2,73 2,7308 2,7316


54 2,7324 2,7332 2,734 2,7348 2,7356 2,7364 2,7372 2,738 2,7388 2,739655 2,7404 2,7412 2,7419 2,7427 2,7435 2,7443 2,7451 2,7459 2,7466 2,747456 2,7482 2,749 2,7497 2,7505 2,7513 2,752 2,7528 2,7536 2,7543 2,755157 2,7559 2,7566 2,7574 2,7582 2,7589 2,7597 2,7604 2,7612 2,7619 2,762758 2,7634 2,7642 2,7649 2,7657 2,7664 2,7672 2,7679 2,7686 2,7694 2,770159 2,7709 2,7716 2,7723 2,7731 2,7738 2,7745 2,7752 2,776 2,7767 2,777460 2,7782 2,7789 2,7796 2,7803 2,781 2,7818 2,7825 2,7832 2,7839 2,784661 2,7853 2,786 2,7868 2,7875 2,7882 2,7889 2,7896 2,7903 2,791 2,791762 2,7924 2,7931 2,7938 2,7945 2,7952 2,7959 2,7966 2,7973 2,798 2,798763 2,7993 2,8 2,8007 2,8014 2,8021 2,8028 2,8035 2,8041 2,8048 2,805564 2,8062 2,8069 2,8075 2,8082 2,8089 2,8096 2,8102 2,8109 2,8116 2,812265 2,8129 2,8136 2,8142 2,8149 2,8156 2,8162 2,8169 2,8176 2,8182 2,818966 2,8195 2,8202 2,8209 2,8215 2,8222 2,8228 2,8235 2,8241 2,8248 2,825467 2,8261 2,8267 2,8274 2,828 2,8287 2,8293 2,8299 2,8306 2,8312 2,831968 2,8325 2,8331 2,8338 2,8344 2,8351 2,8357 2,8363 2,837 2,8376 2,838269 2,8388 2,8395 2,8401 2,8407 2,8414 2,842 2,8426 2,8432 2,8439 2,844570 2,8451 2,8457 2,8463 2,847 2,8476 2,8482 2,8488 2,8494 2,85 2,850671 2,8513 2,8519 2,8525 2,8531 2,8537 2,8543 2,8549 2,8555 2,8561 2,856772 2,8573 2,8579 2,8585 2,8591 2,8597 2,8603 2,8609 2,8615 2,8621 2,862773 2,8633 2,8639 2,8645 2,8651 2,8657 2,8663 2,8669 2,8675 2,8681 2,868674 2,8692 2,8698 2,8704 2,871 2,8716 2,8722 2,8727 2,8733 2,8739 2,874575 2,8751 2,8756 2,8762 2,8768 2,8774 2,8779 2,8785 2,8791 2,8797 2,880276 2,8808 2,8814 2,882 2,8825 2,8831 2,8837 2,8842 2,8848 2,8854 2,885977 2,8865 2,8871 2,8876 2,8882 2,8887 2,8893 2,8899 2,8904 2,891 2,891578 2,8921 2,8927 2,8932 2,8938 2,8943 2,8949 2,8954 2,896 2,8965 2,897179 2,8976 2,8982 2,8987 2,8993 2,8998 2,9004 2,9009 2,9015 2,902 2,902580 2,9031 2,9036 2,9042 2,9047 2,9053 2,9058 2,9063 2,9069 2,9074 2,907981 2,9085 2,909 2,9096 2,9101 2,9106 2,9112 2,9117 2,9122 2,9128 2,913382 2,9138 2,9143 2,9149 2,9154 2,9159 2,9165 2,917 2,9175 2,918 2,918683 2,9191 2,9196 2,9201 2,9206 2,9212 2,9217 2,9222 2,9227 2,9232 2,923884 2,9243 2,9248 2,9253 2,9258 2,9263 2,9269 2,9274 2,9279 2,9284 2,928985 2,9294 2,9299 2,9304 2,9309 2,9315 2,932 2,9325 2,933 2,9335 2,93486 2,9345 2,935 2,9355 2,936 2,9365 2,937 2,9375 2,938 2,9385 2,93987 2,9395 2,94 2,9405 2,941 2,9415 2,942 2,9425 2,943 2,9435 2,94488 2,9445 2,945 2,9455 2,946 2,9465 2,9469 2,9474 2,9479 2,9484 2,948989 2,9494 2,9499 2,9504 2,9509 2,9513 2,9518 2,9523 2,9528 2,9533 2,953890 2,9542 2,9547 2,9552 2,9557 2,9562 2,9566 2,9571 2,9576 2,9581 2,958691 2,959 2,9595 2,96 2,9605 2,9609 2,9614 2,9619 2,9624 2,9628 2,963392 2,9638 2,9643 2,9647 2,9652 2,9657 2,9661 2,9666 2,9671 2,9675 2,96893 2,9685 2,9689 2,9694 2,9699 2,9703 2,9708 2,9713 2,9717 2,9722 2,972794 2,9731 2,9736 2,9741 2,9745 2,975 2,9754 2,9759 2,9763 2,9768 2,977395 2,9777 2,9782 2,9786 2,9791 2,9795 2,98 2,9805 2,9809 2,9814 2,981896 2,9823 2,9827 2,9832 2,9836 2,9841 2,9845 2,985 2,9854 2,9859 2,986397 2,9868 2,9872 2,9877 2,9881 2,9886 2,989 2,9894 2,9899 2,9903 2,990898 2,9912 2,9917 2,9921 2,9926 2,993 2,9934 2,9939 2,9943 2,9948 2,995299 2,9956 2,9961 2,9965 2,9969 2,9974 2,9978 2,9983 2,9987 2,9991 2,9996100 3 3,0004 3,0009 3,0013 3,0017 3,0022 3,0026 3,003 3,0035 3,0039


1000 – 1500 Logaritma Biasa

N 0 1 2 3 4 5 6 7 8 9100 3,0004 3,0009 3,0013 3,0017 3,0022 3,0026 3,003 3,0035 3,0039101 3,0043 3,0048 3,0052 3,0056 3,006 3,0065 3,0069 3,0073 3,0077 3,0082102 3,0086 3,009 3,0095 3,0099 3,0103 3,0107 3,0111 3,0116 3,012 3,0124103 3,0128 3,0133 3,0137 3,0141 3,0145 3,0149 3,0154 3,0158 3,0162 3,0166104 3,017 3,0175 3,0179 3,0183 3,0187 3,0191 3,0195 3,0199 3,0204 3,0208105 3,0212 3,0216 3,022 3,0224 3,0228 3,0233 3,0237 3,0241 3,0245 3,0249106 3,0253 3,0257 3,0261 3,0265 3,0269 3,0273 3,0278 3,0282 3,0286 3,029107 3,0294 3,0298 3,0302 3,0306 3,031 3,0314 3,0318 3,0322 3,0326 3,033108 3,0334 3,0338 3,0342 3,0346 3,035 3,0354 3,0358 3,0362 3,0366 3,037109 3,0374 3,0378 3,0382 3,0386 3,039 3,0394 3,0398 3,0402 3,0406 3,041110 3,0414 3,0418 3,0422 3,0426 3,043 3,0434 3,0438 3,0441 3,0445 3,0449111 3,0453 3,0457 3,0461 3,0465 3,0469 3,0473 3,0477 3,0481 3,0484 3,0488112 3,0492 3,0496 3,05 3,0504 3,0508 3,0512 3,0515 3,0519 3,0523 3,0527113 3,0531 3,0535 3,0538 3,0542 3,0546 3,055 3,0554 3,0558 3,0561 3,0565114 3,0569 3,0573 3,0577 3,058 3,0584 3,0588 3,0592 3,0596 3,0599 3,0603115 3,0607 3,0611 3,0615 3,0618 3,0622 3,0626 3,063 3,0633 3,0637 3,0641116 3,0645 3,0648 3,0652 3,0656 3,066 3,0663 3,0667 3,0671 3,0674 3,0678117 3,0682 3,0686 3,0689 3,0693 3,0697 3,07 3,0704 3,0708 3,0711 3,0715118 3,0719 3,0722 3,0726 3,073 3,0734 3,0737 3,0741 3,0745 3,0748 3,0752119 3,0755 3,0759 3,0763 3,0766 3,077 3,0774 3,0777 3,0781 3,0785 3,0788120 3,0792 3,0795 3,0799 3,0803 3,0806 3,081 3,0813 3,0817 3,0821 3,0824121 3,0828 3,0831 3,0835 3,0839 3,0842 3,0846 3,0849 3,0853 3,0856 3,086122 3,0864 3,0867 3,0871 3,0874 3,0878 3,0881 3,0885 3,0888 3,0892 3,0896123 3,0899 3,0903 3,0906 3,091 3,0913 3,0917 3,092 3,0924 3,0927 3,0931124 3,0934 3,0938 3,0941 3,0945 3,0948 3,0952 3,0955 3,0959 3,0962 3,0966125 3,0969 3,0973 3,0976 3,098 3,0983 3,0986 3,099 3,0993 3,0997 3,1126 3,1004 3,1007 3,1011 3,1014 3,1017 3,1021 3,1024 3,1028 3,1031 3,1035127 3,1038 3,1041 3,1045 3,1048 3,1052 3,1055 3,1059 3,1062 3,1065 3,1069128 3,1072 3,1075 3,1079 3,1082 3,1086 3,1089 3,1092 3,1096 3,1099 3,1103129 3,1106 3,1109 3,1113 3,1116 3,1119 3,1123 3,1126 3,1129 3,1133 3,1136130 3,1139 3,1143 3,1146 3,1149 3,1153 3,1156 3,1159 3,1163 3,1166 3,1169131 3,1173 3,1176 3,1179 3,1183 3,1186 3,1189 3,1193 3,1196 3,1199 3,1202132 3,1206 3,1209 3,1212 3,1216 3,1219 3,1222 3,1225 3,1229 3,1232 3,1235133 3,1239 3,1242 3,1245 3,1248 3,1252 3,1255 3,1258 3,1261 3,1265 3,1268134 3,1271 3,1274 3,1278 3,1281 3,1284 3,1287 3,129 3,1294 3,1297 3,13135 3,1303 3,1307 3,131 3,1313 3,1316 3,1319 3,1323 3,1326 3,1329 3,1332136 3,1335 3,1339 3,1342 3,1345 3,1348 3,1351 3,1355 3,1358 3,1361 3,1364137 3,1367 3,137 3,1374 3,1377 3,138 3,1383 3,1386 3,1389 3,1392 3,1396138 3,1399 3,1402 3,1405 3,1408 3,1411 3,1414 3,1418 3,1421 3,1424 3,1427139 3,143 3,1433 3,1436 3,144 3,1443 3,1446 3,1449 3,1452 3,1455 3,1458140 3,1461 3,1464 3,1467 3,1471 3,1474 3,1477 3,148 3,1483 3,1486 3,1489141 3,1492 3,1495 3,1498 3,1501 3,1504 3,1508 3,1511 3,1514 3,1517 3,152142 3,1523 3,1526 3,1529 3,1532 3,1535 3,1538 3,1541 3,1544 3,1547 3,155143 3,1553 3,1556 3,1559 3,1562 3,1565 3,1569 3,1572 3,1575 3,1578 3,1581144 3,1584 3,1587 3,159 3,1593 3,1596 3,1599 3,1602 3,1605 3,1608 3,1611145 3,1614 3,1617 3,162 3,1623 3,1626 3,1629 3,1632 3,1635 3,1638 3,1641


146 3,1644 3,1647 3,1649 3,1652 3,1655 3,1658 3,1661 3,1664 3,1667 3,167147 3,1673 3,1676 3,1679 3,1682 3,1685 3,1688 3,1691 3,1694 3,1697 3,17148 3,1703 3,1706 3,1708 3,1711 3,1714 3,1717 3,172 3,1723 3,1726 3,1729149 3,1732 3,1735 3,1738 3,1741 3,1744 3,1746 3,1749 3,1752 3,1755 3,1758150 3,1761 3,1764 3,1767 3,177 3,1772 3,1775 3,1778 3,1781 3,1784 3,1787

1500-2000 Logaritma Biasa

N 0 1 2 3 4 5 6 7 8 9150 3,1764 3,1767 3,177 3,1772 3,1775 3,1778 3,1781 3,1784 3,1787151 3,179 3,1793 3,1796 3,1798 3,1801 3,1804 3,1807 3,181 3,1813 3,1816152 3,1818 3,1821 3,1824 3,1827 3,183 3,1833 3,1836 3,1838 3,1841 3,1844153 3,1847 3,185 3,1853 3,1855 3,1858 3,1861 3,1864 3,1867 3,187 3,1872154 3,1875 3,1878 3,1881 3,1884 3,1886 3,1889 3,1892 3,1895 3,1898 3,1901155 3,1903 3,1906 3,1909 3,1912 3,1915 3,1917 3,192 3,1923 3,1926 3,1928156 3,1931 3,1934 3,1937 3,194 3,1942 3,1945 3,1948 3,1951 3,1953 3,1956157 3,1959 3,1962 3,1965 3,1967 3,197 3,1973 3,1976 3,1978 3,1981 3,1984158 3,1987 3,1989 3,1992 3,1995 3,1998 3,2 3,2003 3,2006 3,2009 3,2011159 3,2014 3,2017 3,2019 3,2022 3,2025 3,2028 3,203 3,2033 3,2036 3,2038160 3,2041 3,2044 3,2047 3,2049 3,2052 3,2055 3,2057 3,206 3,2063 3,2066161 3,2068 3,2071 3,2074 3,2076 3,2079 3,2082 3,2084 3,2087 3,209 3,2092162 3,2095 3,2098 3,2101 3,2103 3,2106 3,2109 3,2111 3,2114 3,2117 3,2119163 3,2122 3,2125 3,2127 3,213 3,2133 3,2135 3,2138 3,214 3,2143 3,2146164 3,2148 3,2151 3,2154 3,2156 3,2159 3,2162 3,2164 3,2167 3,217 3,2172165 3,2175 3,2177 3,218 3,2183 3,2185 3,2188 3,2191 3,2193 3,2196 3,2198166 3,2201 3,2204 3,2206 3,2209 3,2212 3,2214 3,2217 3,2219 3,2222 3,2225167 3,2227 3,223 3,2232 3,2235 3,2238 3,224 3,2243 3,2245 3,2248 3,2251168 3,2253 3,2256 3,2258 3,2261 3,2263 3,2266 3,2269 3,2271 3,2274 3,2276169 3,2279 3,2281 3,2284 3,2287 3,2289 3,2292 3,2294 3,2297 3,2299 3,2302170 3,2304 3,2307 3,231 3,2312 3,2315 3,2317 3,232 3,2322 3,2325 3,2327171 3,233 3,2333 3,2335 3,2338 3,234 3,2343 3,2345 3,2348 3,235 3,2353172 3,2355 3,2358 3,236 3,2363 3,2365 3,2368 3,237 3,2373 3,2375 3,2378173 3,238 3,2383 3,2385 3,2388 3,239 3,2393 3,2395 3,2398 3,24 3,2403174 3,2405 3,2408 3,241 3,2413 3,2415 3,2418 3,242 3,2423 3,2425 3,2428175 3,243 3,2433 3,2435 3,2438 3,244 3,2443 3,2445 3,2448 3,245 3,2453176 3,2455 3,2458 3,246 3,2463 3,2465 3,2467 3,247 3,2472 3,2475 3,2477177 3,248 3,2482 3,2485 3,2487 3,249 3,2492 3,2494 3,2497 3,2499 3,2502178 3,2504 3,2507 3,2509 3,2512 3,2514 3,2516 3,2519 3,2521 3,2524 3,2526179 3,2529 3,2531 3,2533 3,2536 3,2538 3,2541 3,2543 3,2545 3,2548 3,255180 3,2553 3,2555 3,2558 3,256 3,2562 3,2565 3,2567 3,257 3,2572 3,2574181 3,2577 3,2579 3,2582 3,2584 3,2586 3,2589 3,2591 3,2594 3,2596 3,2598182 3,2601 3,2603 3,2605 3,2608 3,261 3,2613 3,2615 3,2617 3,262 3,2622183 3,2625 3,2627 3,2629 3,2632 3,2634 3,2636 3,2639 3,2641 3,2643 3,2646184 3,2648 3,2651 3,2653 3,2655 3,2658 3,266 3,2662 3,2665 3,2667 3,2669185 3,2672 3,2674 3,2676 3,2679 3,2681 3,2683 3,2686 3,2688 3,269 3,2693186 3,2695 3,2697 3,27 3,2702 3,2704 3,2707 3,2709 3,2711 3,2714 3,2716187 3,2718 3,2721 3,2723 3,2725 3,2728 3,273 3,2732 3,2735 3,2737 3,2739


188 3,2742 3,2744 3,2746 3,2749 3,2751 3,2753 3,2755 3,2758 3,276 3,2762189 3,2765 3,2767 3,2769 3,2772 3,2774 3,2776 3,2778 3,2781 3,2783 3,2785190 3,2788 3,279 3,2792 3,2794 3,2797 3,2799 3,2801 3,2804 3,2806 3,2808191 3,281 3,2813 3,2815 3,2817 3,2819 3,2822 3,2824 3,2826 3,2828 3,2831192 3,2833 3,2835 3,2838 3,284 3,2842 3,2844 3,2847 3,2849 3,2851 3,2853193 3,2856 3,2858 3,286 3,2862 3,2865 3,2867 3,2869 3,2871 3,2874 3,2876194 3,2878 3,288 3,2882 3,2885 3,2887 3,2889 3,2891 3,2894 3,2896 3,2898195 3,29 3,2903 3,2905 3,2907 3,2909 3,2911 3,2914 3,2916 3,2918 3,292196 3,2923 3,2925 3,2927 3,2929 3,2931 3,2934 3,2936 3,2938 3,294 3,2942197 3,2945 3,2947 3,2949 3,2951 3,2953 3,2956 3,2958 3,296 3,2962 3,2964198 3,2967 3,2969 3,2971 3,2973 3,2975 3,2978 3,298 3,2982 3,2984 3,2986199 3,2989 3,2991 3,2993 3,2995 3,2997 3,2999 3,3002 3,3004 3,3006 3,3008200 3,301 3,3012 3,3015 3,3017 3,3019 3,3021 3,3023 3,3025 3,3028 3,303


N 0 1 2 3 4 5 6 7 8 9200 3,3012 3,3015 3,3017 3,3019 3,3021 3,3023 3,3025 3,3028 3,303201 3,3032 3,3034 3,3036 3,3038 3,3041 3,3043 3,3045 3,3047 3,3049 3,3051202 3,3054 3,3056 3,3058 3,306 3,3062 3,3064 3,3066 3,3069 3,3071 3,3073203 3,3075 3,3077 3,3079 3,3081 3,3084 3,3086 3,3088 3,309 3,3092 3,3094204 3,3096 3,3098 3,3101 3,3103 3,3105 3,3107 3,3109 3,3111 3,3113 3,3115205 3,3118 3,312 3,3122 3,3124 3,3126 3,3128 3,313 3,3132 3,3134 3,3137206 3,3139 3,3141 3,3143 3,3145 3,3147 3,3149 3,3151 3,3153 3,3156 3,3158207 3,316 3,3162 3,3164 3,3166 3,3168 3,317 3,3172 3,3174 3,3176 3,3179208 3,3181 3,3183 3,3185 3,3187 3,3189 3,3191 3,3193 3,3195 3,3197 3,3199209 3,3201 3,3204 3,3206 3,3208 3,321 3,3212 3,3214 3,3216 3,3218 3,322210 3,3222 3,3224 3,3226 3,3228 3,323 3,3233 3,3235 3,3237 3,3239 3,3241211 3,3243 3,3245 3,3247 3,3249 3,3251 3,3253 3,3255 3,3257 3,3259 3,3261212 3,3263 3,3265 3,3267 3,3269 3,3272 3,3274 3,3276 3,3278 3,328 3,3282213 3,3284 3,3286 3,3288 3,329 3,3292 3,3294 3,3296 3,3298 3,33 3,3302214 3,3304 3,3306 3,3308 3,331 3,3312 3,3314 3,3316 3,3318 3,332 3,3322215 3,3324 3,3326 3,3328 3,333 3,3332 3,3334 3,3336 3,3339 3,3341 3,3343216 3,3345 3,3347 3,3349 3,3351 3,3353 3,3355 3,3357 3,3359 3,3361 3,3363217 3,3365 3,3367 3,3369 3,3371 3,3373 3,3375 3,3377 3,3379 3,3381 3,3383218 3,3385 3,3387 3,3389 3,3391 3,3393 3,3395 3,3397 3,3398 3,34 3,3402219 3,3404 3,3406 3,3408 3,341 3,3412 3,3414 3,3416 3,3418 3,342 3,3422220 3,3424 3,3426 3,3428 3,343 3,3432 3,3434 3,3436 3,3438 3,344 3,3442221 3,3444 3,3446 3,3448 3,345 3,3452 3,3454 3,3456 3,3458 3,346 3,3462222 3,3464 3,3465 3,3467 3,3469 3,3471 3,3473 3,3475 3,3477 3,3479 3,3481223 3,3483 3,3485 3,3487 3,3489 3,3491 3,3493 3,3495 3,3497 3,3499 3,3501224 3,3502 3,3504 3,3506 3,3508 3,351 3,3512 3,3514 3,3516 3,3518 3,352225 3,3522 3,3524 3,3526 3,3528 3,353 3,3531 3,3533 3,3535 3,3537 3,3539226 3,3541 3,3543 3,3545 3,3547 3,3549 3,3551 3,3553 3,3555 3,3556 3,3558227 3,356 3,3562 3,3564 3,3566 3,3568 3,357 3,3572 3,3574 3,3576 3,3577228 3,3579 3,3581 3,3583 3,3585 3,3587 3,3589 3,3591 3,3593 3,3595 3,3596229 3,3598 3,36 3,3602 3,3604 3,3606 3,3608 3,361 3,3612 3,3614 3,3615


230 3,3617 3,3619 3,3621 3,3623 3,3625 3,3627 3,3629 3,363 3,3632 3,3634231 3,3636 3,3638 3,364 3,3642 3,3644 3,3646 3,3647 3,3649 3,3651 3,3653232 3,3655 3,3657 3,3659 3,366 3,3662 3,3664 3,3666 3,3668 3,367 3,3672233 3,3674 3,3675 3,3677 3,3679 3,3681 3,3683 3,3685 3,3687 3,3688 3,369234 3,3692 3,3694 3,3696 3,3698 3,37 3,3701 3,3703 3,3705 3,3707 3,3709235 3,3711 3,3713 3,3714 3,3716 3,3718 3,372 3,3722 3,3724 3,3725 3,3727236 3,3729 3,3731 3,3733 3,3735 3,3736 3,3738 3,374 3,3742 3,3744 3,3746237 3,3747 3,3749 3,3751 3,3753 3,3755 3,3757 3,3758 3,376 3,3762 3,3764238 3,3766 3,3768 3,3769 3,3771 3,3773 3,3775 3,3777 3,3779 3,378 3,3782239 3,3784 3,3786 3,3788 3,3789 3,3791 3,3793 3,3795 3,3797 3,3798 3,38240 3,3802 3,3804 3,3806 3,3808 3,3809 3,3811 3,3813 3,3815 3,3817 3,3818241 3,382 3,3822 3,3824 3,3826 3,3827 3,3829 3,3831 3,3833 3,3835 3,3836242 3,3838 3,384 3,3842 3,3844 3,3845 3,3847 3,3849 3,3851 3,3852 3,3854243 3,3856 3,3858 3,386 3,3861 3,3863 3,3865 3,3867 3,3869 3,387 3,3872244 3,3874 3,3876 3,3877 3,3879 3,3881 3,3883 3,3885 3,3886 3,3888 3,389245 3,3892 3,3893 3,3895 3,3897 3,3899 3,3901 3,3902 3,3904 3,3906 3,3908246 3,3909 3,3911 3,3913 3,3915 3,3916 3,3918 3,392 3,3922 3,3923 3,3925247 3,3927 3,3929 3,393 3,3932 3,3934 3,3936 3,3938 3,3939 3,3941 3,3943248 3,3945 3,3946 3,3948 3,395 3,3952 3,3953 3,3955 3,3957 3,3959 3,396249 3,3962 3,3964 3,3965 3,3967 3,3969 3,3971 3,3972 3,3974 3,3976 3,3978250 3,3979 3,3981 3,3983 3,3985 3,3986 3,3988 3,399 3,3992 3,3993 3,3995


N 0 1 2 3 4 5 6 7 8 9250 3,3981 3,3983 3,3985 3,3986 3,3988 3,399 3,3992 3,3993 3,3995251 3,3997 3,3998 3,4 3,4002 3,4004 3,4005 3,4007 3,4009 3,4011 3,4012252 3,4014 3,4016 3,4017 3,4019 3,4021 3,4023 3,4024 3,4026 3,4028 3,4029253 3,4031 3,4033 3,4035 3,4036 3,4038 3,404 3,4041 3,4043 3,4045 3,4047254 3,4048 3,405 3,4052 3,4053 3,4055 3,4057 3,4059 3,406 3,4062 3,4064255 3,4065 3,4067 3,4069 3,4071 3,4072 3,4074 3,4076 3,4077 3,4079 3,4081256 3,4082 3,4084 3,4086 3,4087 3,4089 3,4091 3,4093 3,4094 3,4096 3,4098257 3,4099 3,4101 3,4103 3,4104 3,4106 3,4108 3,4109 3,4111 3,4113 3,4115258 3,4116 3,4118 3,412 3,4121 3,4123 3,4125 3,4126 3,4128 3,413 3,4131259 3,4133 3,4135 3,4136 3,4138 3,414 3,4141 3,4143 3,4145 3,4146 3,4148260 3,415 3,4151 3,4153 3,4155 3,4156 3,4158 3,416 3,4161 3,4163 3,4165261 3,4166 3,4168 3,417 3,4171 3,4173 3,4175 3,4176 3,4178 3,418 3,4181262 3,4183 3,4185 3,4186 3,4188 3,419 3,4191 3,4193 3,4195 3,4196 3,4198263 3,42 3,4201 3,4203 3,4205 3,4206 3,4208 3,4209 3,4211 3,4213 3,4214264 3,4216 3,4218 3,4219 3,4221 3,4223 3,4224 3,4226 3,4228 3,4229 3,4231265 3,4232 3,4234 3,4236 3,4237 3,4239 3,4241 3,4242 3,4244 3,4246 3,4247266 3,4249 3,425 3,4252 3,4254 3,4255 3,4257 3,4259 3,426 3,4262 3,4263267 3,4265 3,4267 3,4268 3,427 3,4272 3,4273 3,4275 3,4276 3,4278 3,428268 3,4281 3,4283 3,4285 3,4286 3,4288 3,4289 3,4291 3,4293 3,4294 3,4296269 3,4298 3,4299 3,4301 3,4302 3,4304 3,4306 3,4307 3,4309 3,431 3,4312270 3,4314 3,4315 3,4317 3,4318 3,432 3,4322 3,4323 3,4325 3,4326 3,4328271 3,433 3,4331 3,4333 3,4334 3,4336 3,4338 3,4339 3,4341 3,4342 3,4344


272 3,4346 3,4347 3,4349 3,435 3,4352 3,4354 3,4355 3,4357 3,4358 3,436273 3,4362 3,4363 3,4365 3,4366 3,4368 3,437 3,4371 3,4373 3,4374 3,4376274 3,4378 3,4379 3,4381 3,4382 3,4384 3,4385 3,4387 3,4389 3,439 3,4392275 3,4393 3,4395 3,4396 3,4398 3,44 3,4401 3,4403 3,4404 3,4406 3,4408276 3,4409 3,4411 3,4412 3,4414 3,4415 3,4417 3,4419 3,442 3,4422 3,4423277 3,4425 3,4426 3,4428 3,4429 3,4431 3,4433 3,4434 3,4436 3,4437 3,4439278 3,444 3,4442 3,4444 3,4445 3,4447 3,4448 3,445 3,4451 3,4453 3,4454279 3,4456 3,4458 3,4459 3,4461 3,4462 3,4464 3,4465 3,4467 3,4468 3,447280 3,4472 3,4473 3,4475 3,4476 3,4478 3,4479 3,4481 3,4482 3,4484 3,4486281 3,4487 3,4489 3,449 3,4492 3,4493 3,4495 3,4496 3,4498 3,4499 3,4501282 3,4502 3,4504 3,4506 3,4507 3,4509 3,451 3,4512 3,4513 3,4515 3,4516283 3,4518 3,4519 3,4521 3,4522 3,4524 3,4526 3,4527 3,4529 3,453 3,4532284 3,4533 3,4535 3,4536 3,4538 3,4539 3,4541 3,4542 3,4544 3,4545 3,4547285 3,4548 3,455 3,4551 3,4553 3,4555 3,4556 3,4558 3,4559 3,4561 3,4562286 3,4564 3,4565 3,4567 3,4568 3,457 3,4571 3,4573 3,4574 3,4576 3,4577287 3,4579 3,458 3,4582 3,4583 3,4585 3,4586 3,4588 3,4589 3,4591 3,4592288 3,4594 3,4595 3,4597 3,4598 3,46 3,4601 3,4603 3,4604 3,4606 3,4607289 3,4609 3,461 3,4612 3,4613 3,4615 3,4616 3,4618 3,4619 3,4621 3,4622290 3,4624 3,4625 3,4627 3,4628 3,463 3,4631 3,4633 3,4634 3,4636 3,4637291 3,4639 3,464 3,4642 3,4643 3,4645 3,4646 3,4648 3,4649 3,4651 3,4652292 3,4654 3,4655 3,4657 3,4658 3,466 3,4661 3,4663 3,4664 3,4666 3,4667293 3,4669 3,467 3,4672 3,4673 3,4675 3,4676 3,4678 3,4679 3,4681 3,4682294 3,4683 3,4685 3,4686 3,4688 3,4689 3,4691 3,4692 3,4694 3,4695 3,4697295 3,4698 3,47 3,4701 3,4703 3,4704 3,4706 3,4707 3,4709 3,471 3,4711296 3,4713 3,4714 3,4716 3,4717 3,4719 3,472 3,4722 3,4723 3,4725 3,4726297 3,4728 3,4729 3,473 3,4732 3,4733 3,4735 3,4736 3,4738 3,4739 3,4741298 3,4742 3,4744 3,4745 3,4747 3,4748 3,4749 3,4751 3,4752 3,4754 3,4755299 3,4757 3,4758 3,476 3,4761 3,4763 3,4764 3,4765 3,4767 3,4768 3,477300 3,4771 3,4773 3,4774 3,4776 3,4777 3,4778 3,478 3,4781 3,4783 3,4784


N 0 1 2 3 4 5 6 7 8 9300 3,4773 3,4774 3,4776 3,4777 3,4778 3,478 3,4781 3,4783 3,4784301 3,4786 3,4787 3,4789 3,479 3,4791 3,4793 3,4794 3,4796 3,4797 3,4799302 3,48 3,4802 3,4803 3,4804 3,4806 3,4807 3,4809 3,481 3,4812 3,4813303 3,4814 3,4816 3,4817 3,4819 3,482 3,4822 3,4823 3,4824 3,4826 3,4827304 3,4829 3,483 3,4832 3,4833 3,4834 3,4836 3,4837 3,4839 3,484 3,4842305 3,4843 3,4844 3,4846 3,4847 3,4849 3,485 3,4852 3,4853 3,4854 3,4856306 3,4857 3,4859 3,486 3,4861 3,4863 3,4864 3,4866 3,4867 3,4869 3,487307 3,4871 3,4873 3,4874 3,4876 3,4877 3,4878 3,488 3,4881 3,4883 3,4884308 3,4886 3,4887 3,4888 3,489 3,4891 3,4893 3,4894 3,4895 3,4897 3,4898309 3,49 3,4901 3,4902 3,4904 3,4905 3,4907 3,4908 3,4909 3,4911 3,4912310 3,4914 3,4915 3,4916 3,4918 3,4919 3,4921 3,4922 3,4923 3,4925 3,4926311 3,4928 3,4929 3,493 3,4932 3,4933 3,4935 3,4936 3,4937 3,4939 3,494312 3,4942 3,4943 3,4944 3,4946 3,4947 3,4949 3,495 3,4951 3,4953 3,4954313 3,4955 3,4957 3,4958 3,496 3,4961 3,4962 3,4964 3,4965 3,4967 3,4968


314 3,4969 3,4971 3,4972 3,4973 3,4975 3,4976 3,4978 3,4979 3,498 3,4982315 3,4983 3,4984 3,4986 3,4987 3,4989 3,499 3,4991 3,4993 3,4994 3,4995316 3,4997 3,4998 3,5 3,5001 3,5002 3,5004 3,5005 3,5006 3,5008 3,5009317 3,5011 3,5012 3,5013 3,5015 3,5016 3,5017 3,5019 3,502 3,5022 3,5023318 3,5024 3,5026 3,5027 3,5028 3,503 3,5031 3,5032 3,5034 3,5035 3,5037319 3,5038 3,5039 3,5041 3,5042 3,5043 3,5045 3,5046 3,5047 3,5049 3,505320 3,5051 3,5053 3,5054 3,5056 3,5057 3,5058 3,506 3,5061 3,5062 3,5064321 3,5065 3,5066 3,5068 3,5069 3,507 3,5072 3,5073 3,5075 3,5076 3,5077322 3,5079 3,508 3,5081 3,5083 3,5084 3,5085 3,5087 3,5088 3,5089 3,5091323 3,5092 3,5093 3,5095 3,5096 3,5097 3,5099 3,51 3,5101 3,5103 3,5104324 3,5105 3,5107 3,5108 3,5109 3,5111 3,5112 3,5113 3,5115 3,5116 3,5117325 3,5119 3,512 3,5122 3,5123 3,5124 3,5126 3,5127 3,5128 3,513 3,5131326 3,5132 3,5134 3,5135 3,5136 3,5138 3,5139 3,514 3,5141 3,5143 3,5144327 3,5145 3,5147 3,5148 3,5149 3,5151 3,5152 3,5153 3,5155 3,5156 3,5157328 3,5159 3,516 3,5161 3,5163 3,5164 3,5165 3,5167 3,5168 3,5169 3,5171329 3,5172 3,5173 3,5175 3,5176 3,5177 3,5179 3,518 3,5181 3,5183 3,5184330 3,5185 3,5186 3,5188 3,5189 3,519 3,5192 3,5193 3,5194 3,5196 3,5197331 3,5198 3,52 3,5201 3,5202 3,5204 3,5205 3,5206 3,5207 3,5209 3,521332 3,5211 3,5213 3,5214 3,5215 3,5217 3,5218 3,5219 3,5221 3,5222 3,5223333 3,5224 3,5226 3,5227 3,5228 3,523 3,5231 3,5232 3,5234 3,5235 3,5236334 3,5237 3,5239 3,524 3,5241 3,5243 3,5244 3,5245 3,5247 3,5248 3,5249335 3,525 3,5252 3,5253 3,5254 3,5256 3,5257 3,5258 3,526 3,5261 3,5262336 3,5263 3,5265 3,5266 3,5267 3,5269 3,527 3,5271 3,5272 3,5274 3,5275337 3,5276 3,5278 3,5279 3,528 3,5281 3,5283 3,5284 3,5285 3,5287 3,5288338 3,5289 3,529 3,5292 3,5293 3,5294 3,5296 3,5297 3,5298 3,5299 3,5301339 3,5302 3,5303 3,5305 3,5306 3,5307 3,5308 3,531 3,5311 3,5312 3,5314340 3,5315 3,5316 3,5317 3,5319 3,532 3,5321 3,5322 3,5324 3,5325 3,5326341 3,5328 3,5329 3,533 3,5331 3,5333 3,5334 3,5335 3,5336 3,5338 3,5339342 3,534 3,5342 3,5343 3,5344 3,5345 3,5347 3,5348 3,5349 3,535 3,5352343 3,5353 3,5354 3,5355 3,5357 3,5358 3,5359 3,5361 3,5362 3,5363 3,5364344 3,5366 3,5367 3,5368 3,5369 3,5371 3,5372 3,5373 3,5374 3,5376 3,5377345 3,5378 3,5379 3,5381 3,5382 3,5383 3,5384 3,5386 3,5387 3,5388 3,539346 3,5391 3,5392 3,5393 3,5395 3,5396 3,5397 3,5398 3,54 3,5401 3,5402347 3,5403 3,5405 3,5406 3,5407 3,5408 3,541 3,5411 3,5412 3,5413 3,5415348 3,5416 3,5417 3,5418 3,542 3,5421 3,5422 3,5423 3,5425 3,5426 3,5427349 3,5428 3,5429 3,5431 3,5432 3,5433 3,5434 3,5436 3,5437 3,5438 3,5439350 3,5441 3,5442 3,5443 3,5444 3,5446 3,5447 3,5448 3,5449 3,5451 3,5452


N 0 1 2 3 4 5 6 7 8 9350 3,5442 3,5443 3,5444 3,5446 3,5447 3,5448 3,5449 3,5451 3,5452351 3,5453 3,5454 3,5456 3,5457 3,5458 3,5459 3,546 3,5462 3,5463 3,5464352 3,5465 3,5467 3,5468 3,5469 3,547 3,5472 3,5473 3,5474 3,5475 3,5477353 3,5478 3,5479 3,548 3,5481 3,5483 3,5484 3,5485 3,5486 3,5488 3,5489354 3,549 3,5491 3,5492 3,5494 3,5495 3,5496 3,5497 3,5499 3,55 3,5501355 3,5502 3,5504 3,5505 3,5506 3,5507 3,5508 3,551 3,5511 3,5512 3,5513356 3,5514 3,5516 3,5517 3,5518 3,5519 3,5521 3,5522 3,5523 3,5524 3,5525357 3,5527 3,5528 3,5529 3,553 3,5532 3,5533 3,5534 3,5535 3,5536 3,5538


358 3,5539 3,554 3,5541 3,5542 3,5544 3,5545 3,5546 3,5547 3,5549 3,555359 3,5551 3,5552 3,5553 3,5555 3,5556 3,5557 3,5558 3,5559 3,5561 3,5562360 3,5563 3,5564 3,5565 3,5567 3,5568 3,5569 3,557 3,5571 3,5573 3,5574361 3,5575 3,5576 3,5577 3,5579 3,558 3,5581 3,5582 3,5583 3,5585 3,5586362 3,5587 3,5588 3,5589 3,5591 3,5592 3,5593 3,5594 3,5595 3,5597 3,5598363 3,5599 3,56 3,5601 3,5603 3,5604 3,5605 3,5606 3,5607 3,5609 3,561364 3,5611 3,5612 3,5613 3,5615 3,5616 3,5617 3,5618 3,5619 3,5621 3,5622365 3,5623 3,5624 3,5625 3,5626 3,5628 3,5629 3,563 3,5631 3,5632 3,5634366 3,5635 3,5636 3,5637 3,5638 3,564 3,5641 3,5642 3,5643 3,5644 3,5645367 3,5647 3,5648 3,5649 3,565 3,5651 3,5653 3,5654 3,5655 3,5656 3,5657368 3,5658 3,566 3,5661 3,5662 3,5663 3,5664 3,5666 3,5667 3,5668 3,5669369 3,567 3,5671 3,5673 3,5674 3,5675 3,5676 3,5677 3,5678 3,568 3,5681370 3,5682 3,5683 3,5684 3,5686 3,5687 3,5688 3,5689 3,569 3,5691 3,5693371 3,5694 3,5695 3,5696 3,5697 3,5698 3,57 3,5701 3,5702 3,5703 3,5704372 3,5705 3,5707 3,5708 3,5709 3,571 3,5711 3,5712 3,5714 3,5715 3,5716373 3,5717 3,5718 3,5719 3,5721 3,5722 3,5723 3,5724 3,5725 3,5726 3,5728374 3,5729 3,573 3,5731 3,5732 3,5733 3,5735 3,5736 3,5737 3,5738 3,5739375 3,574 3,5741 3,5743 3,5744 3,5745 3,5746 3,5747 3,5748 3,575 3,5751376 3,5752 3,5753 3,5754 3,5755 3,5756 3,5758 3,5759 3,576 3,5761 3,5762377 3,5763 3,5765 3,5766 3,5767 3,5768 3,5769 3,577 3,5771 3,5773 3,5774378 3,5775 3,5776 3,5777 3,5778 3,578 3,5781 3,5782 3,5783 3,5784 3,5785379 3,5786 3,5788 3,5789 3,579 3,5791 3,5792 3,5793 3,5794 3,5796 3,5797380 3,5798 3,5799 3,58 3,5801 3,5802 3,5804 3,5805 3,5806 3,5807 3,5808381 3,5809 3,581 3,5812 3,5813 3,5814 3,5815 3,5816 3,5817 3,5818 3,5819382 3,5821 3,5822 3,5823 3,5824 3,5825 3,5826 3,5827 3,5829 3,583 3,5831383 3,5832 3,5833 3,5834 3,5835 3,5837 3,5838 3,5839 3,584 3,5841 3,5842384 3,5843 3,5844 3,5846 3,5847 3,5848 3,5849 3,585 3,5851 3,5852 3,5853385 3,5855 3,5856 3,5857 3,5858 3,5859 3,586 3,5861 3,5862 3,5864 3,5865386 3,5866 3,5867 3,5868 3,5869 3,587 3,5871 3,5873 3,5874 3,5875 3,5876387 3,5877 3,5878 3,5879 3,588 3,5882 3,5883 3,5884 3,5885 3,5886 3,5887388 3,5888 3,5889 3,5891 3,5892 3,5893 3,5894 3,5895 3,5896 3,5897 3,5898389 3,5899 3,5901 3,5902 3,5903 3,5904 3,5905 3,5906 3,5907 3,5908 3,591390 3,5911 3,5912 3,5913 3,5914 3,5915 3,5916 3,5917 3,5918 3,592 3,5921391 3,5922 3,5923 3,5924 3,5925 3,5926 3,5927 3,5928 3,593 3,5931 3,5932392 3,5933 3,5934 3,5935 3,5936 3,5937 3,5938 3,594 3,5941 3,5942 3,5943393 3,5944 3,5945 3,5946 3,5947 3,5948 3,5949 3,5951 3,5952 3,5953 3,5954394 3,5955 3,5956 3,5957 3,5958 3,5959 3,596 3,5962 3,5963 3,5964 3,5965395 3,5966 3,5967 3,5968 3,5969 3,597 3,5971 3,5973 3,5974 3,5975 3,5976396 3,5977 3,5978 3,5979 3,598 3,5981 3,5982 3,5984 3,5985 3,5986 3,5987397 3,5988 3,5989 3,599 3,5991 3,5992 3,5993 3,5994 3,5996 3,5997 3,5998398 3,5999 3,6 3,6001 3,6002 3,6003 3,6004 3,6005 3,6006 3,6008 3,6009399 3,601 3,6011 3,6012 3,6013 3,6014 3,6015 3,6016 3,6017 3,6018 3,602400 3,6021 3,6022 3,6023 3,6024 3,6025 3,6026 3,6027 3,6028 3,6029 3,603



N 0 1 2 3 4 5 6 7 8 9400 3,6022 3,6023 3,6024 3,6025 3,6026 3,6027 3,6028 3,6029 3,603401 3,6031 3,6033 3,6034 3,6035 3,6036 3,6037 3,6038 3,6039 3,604 3,6041402 3,6042 3,6043 3,6044 3,6046 3,6047 3,6048 3,6049 3,605 3,6051 3,6052403 3,6053 3,6054 3,6055 3,6056 3,6057 3,6058 3,606 3,6061 3,6062 3,6063404 3,6064 3,6065 3,6066 3,6067 3,6068 3,6069 3,607 3,6071 3,6072 3,6073405 3,6075 3,6076 3,6077 3,6078 3,6079 3,608 3,6081 3,6082 3,6083 3,6084406 3,6085 3,6086 3,6087 3,6088 3,609 3,6091 3,6092 3,6093 3,6094 3,6095407 3,6096 3,6097 3,6098 3,6099 3,61 3,6101 3,6102 3,6103 3,6104 3,6106408 3,6107 3,6108 3,6109 3,611 3,6111 3,6112 3,6113 3,6114 3,6115 3,6116409 3,6117 3,6118 3,6119 3,612 3,6121 3,6123 3,6124 3,6125 3,6126 3,6127410 3,6128 3,6129 3,613 3,6131 3,6132 3,6133 3,6134 3,6135 3,6136 3,6137411 3,6138 3,6139 3,6141 3,6142 3,6143 3,6144 3,6145 3,6146 3,6147 3,6148412 3,6149 3,615 3,6151 3,6152 3,6153 3,6154 3,6155 3,6156 3,6157 3,6158413 3,616 3,6161 3,6162 3,6163 3,6164 3,6165 3,6166 3,6167 3,6168 3,6169414 3,617 3,6171 3,6172 3,6173 3,6174 3,6175 3,6176 3,6177 3,6178 3,6179415 3,618 3,6182 3,6183 3,6184 3,6185 3,6186 3,6187 3,6188 3,6189 3,619416 3,6191 3,6192 3,6193 3,6194 3,6195 3,6196 3,6197 3,6198 3,6199 3,62417 3,6201 3,6202 3,6203 3,6204 3,6206 3,6207 3,6208 3,6209 3,621 3,6211418 3,6212 3,6213 3,6214 3,6215 3,6216 3,6217 3,6218 3,6219 3,622 3,6221419 3,6222 3,6223 3,6224 3,6225 3,6226 3,6227 3,6228 3,6229 3,623 3,6231420 3,6232 3,6234 3,6235 3,6236 3,6237 3,6238 3,6239 3,624 3,6241 3,6242421 3,6243 3,6244 3,6245 3,6246 3,6247 3,6248 3,6249 3,625 3,6251 3,6252422 3,6253 3,6254 3,6255 3,6256 3,6257 3,6258 3,6259 3,626 3,6261 3,6262423 3,6263 3,6264 3,6265 3,6266 3,6268 3,6269 3,627 3,6271 3,6272 3,6273424 3,6274 3,6275 3,6276 3,6277 3,6278 3,6279 3,628 3,6281 3,6282 3,6283425 3,6284 3,6285 3,6286 3,6287 3,6288 3,6289 3,629 3,6291 3,6292 3,6293426 3,6294 3,6295 3,6296 3,6297 3,6298 3,6299 3,63 3,6301 3,6302 3,6303427 3,6304 3,6305 3,6306 3,6307 3,6308 3,6309 3,631 3,6311 3,6312 3,6313428 3,6314 3,6315 3,6316 3,6317 3,6318 3,632 3,6321 3,6322 3,6323 3,6324429 3,6325 3,6326 3,6327 3,6328 3,6329 3,633 3,6331 3,6332 3,6333 3,6334430 3,6335 3,6336 3,6337 3,6338 3,6339 3,634 3,6341 3,6342 3,6343 3,6344431 3,6345 3,6346 3,6347 3,6348 3,6349 3,635 3,6351 3,6352 3,6353 3,6354432 3,6355 3,6356 3,6357 3,6358 3,6359 3,636 3,6361 3,6362 3,6363 3,6364433 3,6365 3,6366 3,6367 3,6368 3,6369 3,637 3,6371 3,6372 3,6373 3,6374434 3,6375 3,6376 3,6377 3,6378 3,6379 3,638 3,6381 3,6382 3,6383 3,6384435 3,6385 3,6386 3,6387 3,6388 3,6389 3,639 3,6391 3,6392 3,6393 3,6394436 3,6395 3,6396 3,6397 3,6398 3,6399 3,64 3,6401 3,6402 3,6403 3,6404437 3,6405 3,6406 3,6407 3,6408 3,6409 3,641 3,6411 3,6412 3,6413 3,6414438 3,6415 3,6416 3,6417 3,6418 3,6419 3,642 3,6421 3,6422 3,6423 3,6424439 3,6425 3,6426 3,6427 3,6428 3,6429 3,643 3,6431 3,6432 3,6433 3,6434440 3,6435 3,6436 3,6437 3,6437 3,6438 3,6439 3,644 3,6441 3,6442 3,6443441 3,6444 3,6445 3,6446 3,6447 3,6448 3,6449 3,645 3,6451 3,6452 3,6453442 3,6454 3,6455 3,6456 3,6457 3,6458 3,6459 3,646 3,6461 3,6462 3,6463443 3,6464 3,6465 3,6466 3,6467 3,6468 3,6469 3,647 3,6471 3,6472 3,6473444 3,6474 3,6475 3,6476 3,6477 3,6478 3,6479 3,648 3,6481 3,6482 3,6483445 3,6484 3,6485 3,6486 3,6487 3,6488 3,6488 3,6489 3,649 3,6491 3,6492446 3,6493 3,6494 3,6495 3,6496 3,6497 3,6498 3,6499 3,65 3,6501 3,6502447 3,6503 3,6504 3,6505 3,6506 3,6507 3,6508 3,6509 3,651 3,6511 3,6512448 3,6513 3,6514 3,6515 3,6516 3,6517 3,6518 3,6519 3,652 3,6521 3,6521449 3,6522 3,6523 3,6524 3,6525 3,6526 3,6527 3,6528 3,6529 3,653 3,6531


450 3,6532 3,6533 3,6534 3,6535 3,6536 3,6537 3,6538 3,6539 3,654 3,6541


N 0 1 2 3 4 5 6 7 8 9450 3,6533 3,6534 3,6535 3,6536 3,6537 3,6538 3,6539 3,654 3,6541451 3,6542 3,6543 3,6544 3,6545 3,6546 3,6547 3,6548 3,6549 3,6549 3,655452 3,6551 3,6552 3,6553 3,6554 3,6555 3,6556 3,6557 3,6558 3,6559 3,656453 3,6561 3,6562 3,6563 3,6564 3,6565 3,6566 3,6567 3,6568 3,6569 3,657454 3,6571 3,6572 3,6572 3,6573 3,6574 3,6575 3,6576 3,6577 3,6578 3,6579455 3,658 3,6581 3,6582 3,6583 3,6584 3,6585 3,6586 3,6587 3,6588 3,6589456 3,659 3,6591 3,6592 3,6593 3,6593 3,6594 3,6595 3,6596 3,6597 3,6598457 3,6599 3,66 3,6601 3,6602 3,6603 3,6604 3,6605 3,6606 3,6607 3,6608458 3,6609 3,661 3,6611 3,6611 3,6612 3,6613 3,6614 3,6615 3,6616 3,6617459 3,6618 3,6619 3,662 3,6621 3,6622 3,6623 3,6624 3,6625 3,6626 3,6627460 3,6628 3,6629 3,6629 3,663 3,6631 3,6632 3,6633 3,6634 3,6635 3,6636461 3,6637 3,6638 3,6639 3,664 3,6641 3,6642 3,6643 3,6644 3,6645 3,6645462 3,6646 3,6647 3,6648 3,6649 3,665 3,6651 3,6652 3,6653 3,6654 3,6655463 3,6656 3,6657 3,6658 3,6659 3,666 3,666 3,6661 3,6662 3,6663 3,6664464 3,6665 3,6666 3,6667 3,6668 3,6669 3,667 3,6671 3,6672 3,6673 3,6674465 3,6675 3,6675 3,6676 3,6677 3,6678 3,6679 3,668 3,6681 3,6682 3,6683466 3,6684 3,6685 3,6686 3,6687 3,6688 3,6689 3,6689 3,669 3,6691 3,6692467 3,6693 3,6694 3,6695 3,6696 3,6697 3,6698 3,6699 3,67 3,6701 3,6702468 3,6702 3,6703 3,6704 3,6705 3,6706 3,6707 3,6708 3,6709 3,671 3,6711469 3,6712 3,6713 3,6714 3,6715 3,6715 3,6716 3,6717 3,6718 3,6719 3,672470 3,6721 3,6722 3,6723 3,6724 3,6725 3,6726 3,6727 3,6727 3,6728 3,6729471 3,673 3,6731 3,6732 3,6733 3,6734 3,6735 3,6736 3,6737 3,6738 3,6738472 3,6739 3,674 3,6741 3,6742 3,6743 3,6744 3,6745 3,6746 3,6747 3,6748473 3,6749 3,675 3,675 3,6751 3,6752 3,6753 3,6754 3,6755 3,6756 3,6757474 3,6758 3,6759 3,676 3,6761 3,6761 3,6762 3,6763 3,6764 3,6765 3,6766475 3,6767 3,6768 3,6769 3,677 3,6771 3,6772 3,6772 3,6773 3,6774 3,6775476 3,6776 3,6777 3,6778 3,6779 3,678 3,6781 3,6782 3,6782 3,6783 3,6784477 3,6785 3,6786 3,6787 3,6788 3,6789 3,679 3,6791 3,6792 3,6792 3,6793478 3,6794 3,6795 3,6796 3,6797 3,6798 3,6799 3,68 3,6801 3,6802 3,6802479 3,6803 3,6804 3,6805 3,6806 3,6807 3,6808 3,6809 3,681 3,6811 3,6812480 3,6812 3,6813 3,6814 3,6815 3,6816 3,6817 3,6818 3,6819 3,682 3,6821481 3,6821 3,6822 3,6823 3,6824 3,6825 3,6826 3,6827 3,6828 3,6829 3,683482 3,683 3,6831 3,6832 3,6833 3,6834 3,6835 3,6836 3,6837 3,6838 3,6839483 3,6839 3,684 3,6841 3,6842 3,6843 3,6844 3,6845 3,6846 3,6847 3,6848484 3,6848 3,6849 3,685 3,6851 3,6852 3,6853 3,6854 3,6855 3,6856 3,6857485 3,6857 3,6858 3,6859 3,686 3,6861 3,6862 3,6863 3,6864 3,6865 3,6865486 3,6866 3,6867 3,6868 3,6869 3,687 3,6871 3,6872 3,6873 3,6874 3,6874487 3,6875 3,6876 3,6877 3,6878 3,6879 3,688 3,6881 3,6882 3,6882 3,6883488 3,6884 3,6885 3,6886 3,6887 3,6888 3,6889 3,689 3,689 3,6891 3,6892489 3,6893 3,6894 3,6895 3,6896 3,6897 3,6898 3,6898 3,6899 3,69 3,6901490 3,6902 3,6903 3,6904 3,6905 3,6906 3,6906 3,6907 3,6908 3,6909 3,691491 3,6911 3,6912 3,6913 3,6913 3,6914 3,6915 3,6916 3,6917 3,6918 3,6919492 3,692 3,6921 3,6921 3,6922 3,6923 3,6924 3,6925 3,6926 3,6927 3,6928493 3,6928 3,6929 3,693 3,6931 3,6932 3,6933 3,6934 3,6935 3,6936 3,6936


494 3,6937 3,6938 3,6939 3,694 3,6941 3,6942 3,6943 3,6943 3,6944 3,6945495 3,6946 3,6947 3,6948 3,6949 3,695 3,695 3,6951 3,6952 3,6953 3,6954496 3,6955 3,6956 3,6957 3,6957 3,6958 3,6959 3,696 3,6961 3,6962 3,6963497 3,6964 3,6964 3,6965 3,6966 3,6967 3,6968 3,6969 3,697 3,6971 3,6971498 3,6972 3,6973 3,6974 3,6975 3,6976 3,6977 3,6978 3,6978 3,6979 3,698499 3,6981 3,6982 3,6983 3,6984 3,6984 3,6985 3,6986 3,6987 3,6988 3,6989500 3,699 3,6991 3,6991 3,6992 3,6993 3,6994 3,6995 3,6996 3,6997 3,6998


N 0 1 2 3 4 5 6 7 8 9500 3,699 3,6991 3,6991 3,6992 3,6993 3,6994 3,6995 3,6996 3,6997 3,6998501 3,6998 3,6999 3,7 3,7001 3,7002 3,7003 3,7004 3,7004 3,7005 3,7006502 3,7007 3,7008 3,7009 3,701 3,701 3,7011 3,7012 3,7013 3,7014 3,7015503 3,7016 3,7017 3,7017 3,7018 3,7019 3,702 3,7021 3,7022 3,7023 3,7023504 3,7024 3,7025 3,7026 3,7027 3,7028 3,7029 3,7029 3,703 3,7031 3,7032505 3,7033 3,7034 3,7035 3,7035 3,7036 3,7037 3,7038 3,7039 3,704 3,7041506 3,7042 3,7042 3,7043 3,7044 3,7045 3,7046 3,7047 3,7048 3,7048 3,7049507 3,705 3,7051 3,7052 3,7053 3,7054 3,7054 3,7055 3,7056 3,7057 3,7058508 3,7059 3,7059 3,706 3,7061 3,7062 3,7063 3,7064 3,7065 3,7065 3,7066509 3,7067 3,7068 3,7069 3,707 3,7071 3,7071 3,7072 3,7073 3,7074 3,7075510 3,7076 3,7077 3,7077 3,7078 3,7079 3,708 3,7081 3,7082 3,7083 3,7083511 3,7084 3,7085 3,7086 3,7087 3,7088 3,7088 3,7089 3,709 3,7091 3,7092512 3,7093 3,7094 3,7094 3,7095 3,7096 3,7097 3,7098 3,7099 3,7099 3,71513 3,7101 3,7102 3,7103 3,7104 3,7105 3,7105 3,7106 3,7107 3,7108 3,7109514 3,711 3,711 3,7111 3,7112 3,7113 3,7114 3,7115 3,7116 3,7116 3,7117515 3,7118 3,7119 3,712 3,7121 3,7121 3,7122 3,7123 3,7124 3,7125 3,7126516 3,7126 3,7127 3,7128 3,7129 3,713 3,7131 3,7132 3,7132 3,7133 3,7134517 3,7135 3,7136 3,7137 3,7137 3,7138 3,7139 3,714 3,7141 3,7142 3,7142518 3,7143 3,7144 3,7145 3,7146 3,7147 3,7147 3,7148 3,7149 3,715 3,7151519 3,7152 3,7153 3,7153 3,7154 3,7155 3,7156 3,7157 3,7158 3,7158 3,7159520 3,716 3,7161 3,7162 3,7163 3,7163 3,7164 3,7165 3,7166 3,7167 3,7168521 3,7168 3,7169 3,717 3,7171 3,7172 3,7173 3,7173 3,7174 3,7175 3,7176522 3,7177 3,7178 3,7178 3,7179 3,718 3,7181 3,7182 3,7183 3,7183 3,7184523 3,7185 3,7186 3,7187 3,7188 3,7188 3,7189 3,719 3,7191 3,7192 3,7192524 3,7193 3,7194 3,7195 3,7196 3,7197 3,7197 3,7198 3,7199 3,72 3,7201525 3,7202 3,7202 3,7203 3,7204 3,7205 3,7206 3,7207 3,7207 3,7208 3,7209526 3,721 3,7211 3,7212 3,7212 3,7213 3,7214 3,7215 3,7216 3,7216 3,7217527 3,7218 3,7219 3,722 3,7221 3,7221 3,7222 3,7223 3,7224 3,7225 3,7226528 3,7226 3,7227 3,7228 3,7229 3,723 3,723 3,7231 3,7232 3,7233 3,7234529 3,7235 3,7235 3,7236 3,7237 3,7238 3,7239 3,7239 3,724 3,7241 3,7242530 3,7243 3,7244 3,7244 3,7245 3,7246 3,7247 3,7248 3,7248 3,7249 3,725531 3,7251 3,7252 3,7253 3,7253 3,7254 3,7255 3,7256 3,7257 3,7257 3,7258532 3,7259 3,726 3,7261 3,7262 3,7262 3,7263 3,7264 3,7265 3,7266 3,7266533 3,7267 3,7268 3,7269 3,727 3,7271 3,7271 3,7272 3,7273 3,7274 3,7275534 3,7275 3,7276 3,7277 3,7278 3,7279 3,7279 3,728 3,7281 3,7282 3,7283535 3,7284 3,7284 3,7285 3,7286 3,7287 3,7288 3,7288 3,7289 3,729 3,7291536 3,7292 3,7292 3,7293 3,7294 3,7295 3,7296 3,7297 3,7297 3,7298 3,7299537 3,73 3,7301 3,7301 3,7302 3,7303 3,7304 3,7305 3,7305 3,7306 3,7307


538 3,7308 3,7309 3,7309 3,731 3,7311 3,7312 3,7313 3,7313 3,7314 3,7315539 3,7316 3,7317 3,7317 3,7318 3,7319 3,732 3,7321 3,7322 3,7322 3,7323540 3,7324 3,7325 3,7326 3,7326 3,7327 3,7328 3,7329 3,733 3,733 3,7331541 3,7332 3,7333 3,7334 3,7334 3,7335 3,7336 3,7337 3,7338 3,7338 3,7339542 3,734 3,7341 3,7342 3,7342 3,7343 3,7344 3,7345 3,7346 3,7346 3,7347543 3,7348 3,7349 3,735 3,735 3,7351 3,7352 3,7353 3,7354 3,7354 3,7355544 3,7356 3,7357 3,7358 3,7358 3,7359 3,736 3,7361 3,7362 3,7362 3,7363545 3,7364 3,7365 3,7366 3,7366 3,7367 3,7368 3,7369 3,737 3,737 3,7371546 3,7372 3,7373 3,7374 3,7374 3,7375 3,7376 3,7377 3,7377 3,7378 3,7379547 3,738 3,7381 3,7381 3,7382 3,7383 3,7384 3,7385 3,7385 3,7386 3,7387548 3,7388 3,7389 3,7389 3,739 3,7391 3,7392 3,7393 3,7393 3,7394 3,7395549 3,7396 3,7397 3,7397 3,7398 3,7399 3,74 3,74 3,7401 3,7402 3,7403550 3,7404 3,7404 3,7405 3,7406 3,7407 3,7408 3,7408 3,7409 3,741 3,7411


N 0 1 2 3 4 5 6 7 8 9550 3,7404 3,7405 3,7406 3,7407 3,7408 3,7408 3,7409 3,741 3,7411551 3,7412 3,7412 3,7413 3,7414 3,7415 3,7415 3,7416 3,7417 3,7418 3,7419552 3,7419 3,742 3,7421 3,7422 3,7423 3,7423 3,7424 3,7425 3,7426 3,7426553 3,7427 3,7428 3,7429 3,743 3,743 3,7431 3,7432 3,7433 3,7434 3,7434554 3,7435 3,7436 3,7437 3,7437 3,7438 3,7439 3,744 3,7441 3,7441 3,7442555 3,7443 3,7444 3,7444 3,7445 3,7446 3,7447 3,7448 3,7448 3,7449 3,745556 3,7451 3,7452 3,7452 3,7453 3,7454 3,7455 3,7455 3,7456 3,7457 3,7458557 3,7459 3,7459 3,746 3,7461 3,7462 3,7462 3,7463 3,7464 3,7465 3,7466558 3,7466 3,7467 3,7468 3,7469 3,7469 3,747 3,7471 3,7472 3,7473 3,7473559 3,7474 3,7475 3,7476 3,7476 3,7477 3,7478 3,7479 3,748 3,748 3,7481560 3,7482 3,7483 3,7483 3,7484 3,7485 3,7486 3,7487 3,7487 3,7488 3,7489561 3,749 3,749 3,7491 3,7492 3,7493 3,7493 3,7494 3,7495 3,7496 3,7497562 3,7497 3,7498 3,7499 3,75 3,75 3,7501 3,7502 3,7503 3,7504 3,7504563 3,7505 3,7506 3,7507 3,7507 3,7508 3,7509 3,751 3,751 3,7511 3,7512564 3,7513 3,7514 3,7514 3,7515 3,7516 3,7517 3,7517 3,7518 3,7519 3,752565 3,752 3,7521 3,7522 3,7523 3,7524 3,7524 3,7525 3,7526 3,7527 3,7527566 3,7528 3,7529 3,753 3,753 3,7531 3,7532 3,7533 3,7534 3,7534 3,7535567 3,7536 3,7537 3,7537 3,7538 3,7539 3,754 3,754 3,7541 3,7542 3,7543568 3,7543 3,7544 3,7545 3,7546 3,7547 3,7547 3,7548 3,7549 3,755 3,755569 3,7551 3,7552 3,7553 3,7553 3,7554 3,7555 3,7556 3,7556 3,7557 3,7558570 3,7559 3,756 3,756 3,7561 3,7562 3,7563 3,7563 3,7564 3,7565 3,7566571 3,7566 3,7567 3,7568 3,7569 3,7569 3,757 3,7571 3,7572 3,7572 3,7573572 3,7574 3,7575 3,7575 3,7576 3,7577 3,7578 3,7579 3,7579 3,758 3,7581573 3,7582 3,7582 3,7583 3,7584 3,7585 3,7585 3,7586 3,7587 3,7588 3,7588574 3,7589 3,759 3,7591 3,7591 3,7592 3,7593 3,7594 3,7594 3,7595 3,7596575 3,7597 3,7597 3,7598 3,7599 3,76 3,76 3,7601 3,7602 3,7603 3,7603576 3,7604 3,7605 3,7606 3,7606 3,7607 3,7608 3,7609 3,7609 3,761 3,7611577 3,7612 3,7613 3,7613 3,7614 3,7615 3,7616 3,7616 3,7617 3,7618 3,7619578 3,7619 3,762 3,7621 3,7622 3,7622 3,7623 3,7624 3,7625 3,7625 3,7626


579 3,7627 3,7628 3,7628 3,7629 3,763 3,7631 3,7631 3,7632 3,7633 3,7634580 3,7634 3,7635 3,7636 3,7637 3,7637 3,7638 3,7639 3,764 3,764 3,7641581 3,7642 3,7643 3,7643 3,7644 3,7645 3,7645 3,7646 3,7647 3,7648 3,7648582 3,7649 3,765 3,7651 3,7651 3,7652 3,7653 3,7654 3,7654 3,7655 3,7656583 3,7657 3,7657 3,7658 3,7659 3,766 3,766 3,7661 3,7662 3,7663 3,7663584 3,7664 3,7665 3,7666 3,7666 3,7667 3,7668 3,7669 3,7669 3,767 3,7671585 3,7672 3,7672 3,7673 3,7674 3,7675 3,7675 3,7676 3,7677 3,7677 3,7678586 3,7679 3,768 3,768 3,7681 3,7682 3,7683 3,7683 3,7684 3,7685 3,7686587 3,7686 3,7687 3,7688 3,7689 3,7689 3,769 3,7691 3,7692 3,7692 3,7693588 3,7694 3,7695 3,7695 3,7696 3,7697 3,7697 3,7698 3,7699 3,77 3,77589 3,7701 3,7702 3,7703 3,7703 3,7704 3,7705 3,7706 3,7706 3,7707 3,7708590 3,7709 3,7709 3,771 3,7711 3,7711 3,7712 3,7713 3,7714 3,7714 3,7715591 3,7716 3,7717 3,7717 3,7718 3,7719 3,772 3,772 3,7721 3,7722 3,7722592 3,7723 3,7724 3,7725 3,7725 3,7726 3,7727 3,7728 3,7728 3,7729 3,773593 3,7731 3,7731 3,7732 3,7733 3,7733 3,7734 3,7735 3,7736 3,7736 3,7737594 3,7738 3,7739 3,7739 3,774 3,7741 3,7742 3,7742 3,7743 3,7744 3,7744595 3,7745 3,7746 3,7747 3,7747 3,7748 3,7749 3,775 3,775 3,7751 3,7752596 3,7752 3,7753 3,7754 3,7755 3,7755 3,7756 3,7757 3,7758 3,7758 3,7759597 3,776 3,776 3,7761 3,7762 3,7763 3,7763 3,7764 3,7765 3,7766 3,7766598 3,7767 3,7768 3,7768 3,7769 3,777 3,7771 3,7771 3,7772 3,7773 3,7774599 3,7774 3,7775 3,7776 3,7776 3,7777 3,7778 3,7779 3,7779 3,778 3,7781600 3,7782 3,7782 3,7783 3,7784 3,7784 3,7785 3,7786 3,7787 3,7787 3,7788


N 0 1 2 3 4 5 6 7 8 9600 3,7782 3,7783 3,7784 3,7784 3,7785 3,7786 3,7787 3,7787 3,7788601 3,7789 3,7789 3,779 3,7791 3,7792 3,7792 3,7793 3,7794 3,7795 3,7795602 3,7796 3,7797 3,7797 3,7798 3,7799 3,78 3,78 3,7801 3,7802 3,7802603 3,7803 3,7804 3,7805 3,7805 3,7806 3,7807 3,7807 3,7808 3,7809 3,781604 3,781 3,7811 3,7812 3,7813 3,7813 3,7814 3,7815 3,7815 3,7816 3,7817605 3,7818 3,7818 3,7819 3,782 3,782 3,7821 3,7822 3,7823 3,7823 3,7824606 3,7825 3,7825 3,7826 3,7827 3,7828 3,7828 3,7829 3,783 3,783 3,7831607 3,7832 3,7833 3,7833 3,7834 3,7835 3,7835 3,7836 3,7837 3,7838 3,7838608 3,7839 3,784 3,784 3,7841 3,7842 3,7843 3,7843 3,7844 3,7845 3,7845609 3,7846 3,7847 3,7848 3,7848 3,7849 3,785 3,785 3,7851 3,7852 3,7853610 3,7853 3,7854 3,7855 3,7855 3,7856 3,7857 3,7858 3,7858 3,7859 3,786611 3,786 3,7861 3,7862 3,7863 3,7863 3,7864 3,7865 3,7865 3,7866 3,7867612 3,7868 3,7868 3,7869 3,787 3,787 3,7871 3,7872 3,7872 3,7873 3,7874613 3,7875 3,7875 3,7876 3,7877 3,7877 3,7878 3,7879 3,788 3,788 3,7881614 3,7882 3,7882 3,7883 3,7884 3,7885 3,7885 3,7886 3,7887 3,7887 3,7888615 3,7889 3,7889 3,789 3,7891 3,7892 3,7892 3,7893 3,7894 3,7894 3,7895616 3,7896 3,7897 3,7897 3,7898 3,7899 3,7899 3,79 3,7901 3,7901 3,7902617 3,7903 3,7904 3,7904 3,7905 3,7906 3,7906 3,7907 3,7908 3,7908 3,7909618 3,791 3,7911 3,7911 3,7912 3,7913 3,7913 3,7914 3,7915 3,7916 3,7916619 3,7917 3,7918 3,7918 3,7919 3,792 3,792 3,7921 3,7922 3,7923 3,7923620 3,7924 3,7925 3,7925 3,7926 3,7927 3,7927 3,7928 3,7929 3,793 3,793621 3,7931 3,7932 3,7932 3,7933 3,7934 3,7934 3,7935 3,7936 3,7937 3,7937


622 3,7938 3,7939 3,7939 3,794 3,7941 3,7941 3,7942 3,7943 3,7943 3,7944623 3,7945 3,7946 3,7946 3,7947 3,7948 3,7948 3,7949 3,795 3,795 3,7951624 3,7952 3,7953 3,7953 3,7954 3,7955 3,7955 3,7956 3,7957 3,7957 3,7958625 3,7959 3,7959 3,796 3,7961 3,7962 3,7962 3,7963 3,7964 3,7964 3,7965626 3,7966 3,7966 3,7967 3,7968 3,7969 3,7969 3,797 3,7971 3,7971 3,7972627 3,7973 3,7973 3,7974 3,7975 3,7975 3,7976 3,7977 3,7978 3,7978 3,7979628 3,798 3,798 3,7981 3,7982 3,7982 3,7983 3,7984 3,7984 3,7985 3,7986629 3,7987 3,7987 3,7988 3,7989 3,7989 3,799 3,7991 3,7991 3,7992 3,7993630 3,7993 3,7994 3,7995 3,7995 3,7996 3,7997 3,7998 3,7998 3,7999 3,8631 3,8 3,8001 3,8002 3,8002 3,8003 3,8004 3,8004 3,8005 3,8006 3,8006632 3,8007 3,8008 3,8009 3,8009 3,801 3,8011 3,8011 3,8012 3,8013 3,8013633 3,8014 3,8015 3,8015 3,8016 3,8017 3,8017 3,8018 3,8019 3,802 3,802634 3,8021 3,8022 3,8022 3,8023 3,8024 3,8024 3,8025 3,8026 3,8026 3,8027635 3,8028 3,8028 3,8029 3,803 3,803 3,8031 3,8032 3,8033 3,8033 3,8034636 3,8035 3,8035 3,8036 3,8037 3,8037 3,8038 3,8039 3,8039 3,804 3,8041637 3,8041 3,8042 3,8043 3,8043 3,8044 3,8045 3,8045 3,8046 3,8047 3,8048638 3,8048 3,8049 3,805 3,805 3,8051 3,8052 3,8052 3,8053 3,8054 3,8054639 3,8055 3,8056 3,8056 3,8057 3,8058 3,8058 3,8059 3,806 3,806 3,8061640 3,8062 3,8062 3,8063 3,8064 3,8065 3,8065 3,8066 3,8067 3,8067 3,8068641 3,8069 3,8069 3,807 3,8071 3,8071 3,8072 3,8073 3,8073 3,8074 3,8075642 3,8075 3,8076 3,8077 3,8077 3,8078 3,8079 3,8079 3,808 3,8081 3,8081643 3,8082 3,8083 3,8083 3,8084 3,8085 3,8085 3,8086 3,8087 3,8088 3,8088644 3,8089 3,809 3,809 3,8091 3,8092 3,8092 3,8093 3,8094 3,8094 3,8095645 3,8096 3,8096 3,8097 3,8098 3,8098 3,8099 3,81 3,81 3,8101 3,8102646 3,8102 3,8103 3,8104 3,8104 3,8105 3,8106 3,8106 3,8107 3,8108 3,8108647 3,8109 3,811 3,811 3,8111 3,8112 3,8112 3,8113 3,8114 3,8114 3,8115648 3,8116 3,8116 3,8117 3,8118 3,8118 3,8119 3,812 3,812 3,8121 3,8122649 3,8122 3,8123 3,8124 3,8124 3,8125 3,8126 3,8126 3,8127 3,8128 3,8128650 3,8129 3,813 3,813 3,8131 3,8132 3,8132 3,8133 3,8134 3,8134 3,8135


N 0 1 2 3 4 5 6 7 8 9650 3,813 3,813 3,8131 3,8132 3,8132 3,8133 3,8134 3,8134 3,8135651 3,8136 3,8136 3,8137 3,8138 3,8138 3,8139 3,814 3,814 3,8141 3,8142652 3,8142 3,8143 3,8144 3,8144 3,8145 3,8146 3,8146 3,8147 3,8148 3,8148653 3,8149 3,815 3,815 3,8151 3,8152 3,8152 3,8153 3,8154 3,8154 3,8155654 3,8156 3,8156 3,8157 3,8158 3,8158 3,8159 3,816 3,816 3,8161 3,8162655 3,8162 3,8163 3,8164 3,8164 3,8165 3,8166 3,8166 3,8167 3,8168 3,8168656 3,8169 3,817 3,817 3,8171 3,8172 3,8172 3,8173 3,8174 3,8174 3,8175657 3,8176 3,8176 3,8177 3,8178 3,8178 3,8179 3,818 3,818 3,8181 3,8182658 3,8182 3,8183 3,8184 3,8184 3,8185 3,8186 3,8186 3,8187 3,8188 3,8188659 3,8189 3,819 3,819 3,8191 3,8191 3,8192 3,8193 3,8193 3,8194 3,8195660 3,8195 3,8196 3,8197 3,8197 3,8198 3,8199 3,8199 3,82 3,8201 3,8201661 3,8202 3,8203 3,8203 3,8204 3,8205 3,8205 3,8206 3,8207 3,8207 3,8208662 3,8209 3,8209 3,821 3,8211 3,8211 3,8212 3,8213 3,8213 3,8214 3,8214


663 3,8215 3,8216 3,8216 3,8217 3,8218 3,8218 3,8219 3,822 3,822 3,8221664 3,8222 3,8222 3,8223 3,8224 3,8224 3,8225 3,8226 3,8226 3,8227 3,8228665 3,8228 3,8229 3,823 3,823 3,8231 3,8231 3,8232 3,8233 3,8233 3,8234666 3,8235 3,8235 3,8236 3,8237 3,8237 3,8238 3,8239 3,8239 3,824 3,8241667 3,8241 3,8242 3,8243 3,8243 3,8244 3,8245 3,8245 3,8246 3,8246 3,8247668 3,8248 3,8248 3,8249 3,825 3,825 3,8251 3,8252 3,8252 3,8253 3,8254669 3,8254 3,8255 3,8256 3,8256 3,8257 3,8258 3,8258 3,8259 3,8259 3,826670 3,8261 3,8261 3,8262 3,8263 3,8263 3,8264 3,8265 3,8265 3,8266 3,8267671 3,8267 3,8268 3,8269 3,8269 3,827 3,827 3,8271 3,8272 3,8272 3,8273672 3,8274 3,8274 3,8275 3,8276 3,8276 3,8277 3,8278 3,8278 3,8279 3,828673 3,828 3,8281 3,8281 3,8282 3,8283 3,8283 3,8284 3,8285 3,8285 3,8286674 3,8287 3,8287 3,8288 3,8289 3,8289 3,829 3,829 3,8291 3,8292 3,8292675 3,8293 3,8294 3,8294 3,8295 3,8296 3,8296 3,8297 3,8298 3,8298 3,8299676 3,8299 3,83 3,8301 3,8301 3,8302 3,8303 3,8303 3,8304 3,8305 3,8305677 3,8306 3,8307 3,8307 3,8308 3,8308 3,8309 3,831 3,831 3,8311 3,8312678 3,8312 3,8313 3,8314 3,8314 3,8315 3,8315 3,8316 3,8317 3,8317 3,8318679 3,8319 3,8319 3,832 3,8321 3,8321 3,8322 3,8323 3,8323 3,8324 3,8324680 3,8325 3,8326 3,8326 3,8327 3,8328 3,8328 3,8329 3,833 3,833 3,8331681 3,8331 3,8332 3,8333 3,8333 3,8334 3,8335 3,8335 3,8336 3,8337 3,8337682 3,8338 3,8338 3,8339 3,834 3,834 3,8341 3,8342 3,8342 3,8343 3,8344683 3,8344 3,8345 3,8345 3,8346 3,8347 3,8347 3,8348 3,8349 3,8349 3,835684 3,8351 3,8351 3,8352 3,8352 3,8353 3,8354 3,8354 3,8355 3,8356 3,8356685 3,8357 3,8358 3,8358 3,8359 3,8359 3,836 3,8361 3,8361 3,8362 3,8363686 3,8363 3,8364 3,8365 3,8365 3,8366 3,8366 3,8367 3,8368 3,8368 3,8369687 3,837 3,837 3,8371 3,8371 3,8372 3,8373 3,8373 3,8374 3,8375 3,8375688 3,8376 3,8377 3,8377 3,8378 3,8378 3,8379 3,838 3,838 3,8381 3,8382689 3,8382 3,8383 3,8383 3,8384 3,8385 3,8385 3,8386 3,8387 3,8387 3,8388690 3,8388 3,8389 3,839 3,839 3,8391 3,8392 3,8392 3,8393 3,8394 3,8394691 3,8395 3,8395 3,8396 3,8397 3,8397 3,8398 3,8399 3,8399 3,84 3,84692 3,8401 3,8402 3,8402 3,8403 3,8404 3,8404 3,8405 3,8405 3,8406 3,8407693 3,8407 3,8408 3,8409 3,8409 3,841 3,841 3,8411 3,8412 3,8412 3,8413694 3,8414 3,8414 3,8415 3,8415 3,8416 3,8417 3,8417 3,8418 3,8419 3,8419695 3,842 3,842 3,8421 3,8422 3,8422 3,8423 3,8424 3,8424 3,8425 3,8425696 3,8426 3,8427 3,8427 3,8428 3,8429 3,8429 3,843 3,843 3,8431 3,8432697 3,8432 3,8433 3,8434 3,8434 3,8435 3,8435 3,8436 3,8437 3,8437 3,8438698 3,8439 3,8439 3,844 3,844 3,8441 3,8442 3,8442 3,8443 3,8444 3,8444699 3,8445 3,8445 3,8446 3,8447 3,8447 3,8448 3,8448 3,8449 3,845 3,845700 3,8451 3,8452 3,8452 3,8453 3,8453 3,8454 3,8455 3,8455 3,8456 3,8457


N 0 1 2 3 4 5 6 7 8 9700 3,8452 3,8452 3,8453 3,8453 3,8454 3,8455 3,8455 3,8456 3,8457701 3,8457 3,8458 3,8458 3,8459 3,846 3,846 3,8461 3,8462 3,8462 3,8463702 3,8463 3,8464 3,8465 3,8465 3,8466 3,8466 3,8467 3,8468 3,8468 3,8469703 3,847 3,847 3,8471 3,8471 3,8472 3,8473 3,8473 3,8474 3,8474 3,8475704 3,8476 3,8476 3,8477 3,8478 3,8478 3,8479 3,8479 3,848 3,8481 3,8481


705 3,8482 3,8483 3,8483 3,8484 3,8484 3,8485 3,8486 3,8486 3,8487 3,8487706 3,8488 3,8489 3,8489 3,849 3,8491 3,8491 3,8492 3,8492 3,8493 3,8494707 3,8494 3,8495 3,8495 3,8496 3,8497 3,8497 3,8498 3,8498 3,8499 3,85708 3,85 3,8501 3,8502 3,8502 3,8503 3,8503 3,8504 3,8505 3,8505 3,8506709 3,8506 3,8507 3,8508 3,8508 3,8509 3,851 3,851 3,8511 3,8511 3,8512710 3,8513 3,8513 3,8514 3,8514 3,8515 3,8516 3,8516 3,8517 3,8517 3,8518711 3,8519 3,8519 3,852 3,8521 3,8521 3,8522 3,8522 3,8523 3,8524 3,8524712 3,8525 3,8525 3,8526 3,8527 3,8527 3,8528 3,8528 3,8529 3,853 3,853713 3,8531 3,8532 3,8532 3,8533 3,8533 3,8534 3,8535 3,8535 3,8536 3,8536714 3,8537 3,8538 3,8538 3,8539 3,8539 3,854 3,8541 3,8541 3,8542 3,8542715 3,8543 3,8544 3,8544 3,8545 3,8545 3,8546 3,8547 3,8547 3,8548 3,8549716 3,8549 3,855 3,855 3,8551 3,8552 3,8552 3,8553 3,8553 3,8554 3,8555717 3,8555 3,8556 3,8556 3,8557 3,8558 3,8558 3,8559 3,8559 3,856 3,8561718 3,8561 3,8562 3,8562 3,8563 3,8564 3,8564 3,8565 3,8565 3,8566 3,8567719 3,8567 3,8568 3,8568 3,8569 3,857 3,857 3,8571 3,8572 3,8572 3,8573720 3,8573 3,8574 3,8575 3,8575 3,8576 3,8576 3,8577 3,8578 3,8578 3,8579721 3,8579 3,858 3,8581 3,8581 3,8582 3,8582 3,8583 3,8584 3,8584 3,8585722 3,8585 3,8586 3,8587 3,8587 3,8588 3,8588 3,8589 3,859 3,859 3,8591723 3,8591 3,8592 3,8593 3,8593 3,8594 3,8594 3,8595 3,8596 3,8596 3,8597724 3,8597 3,8598 3,8599 3,8599 3,86 3,86 3,8601 3,8602 3,8602 3,8603725 3,8603 3,8604 3,8605 3,8605 3,8606 3,8606 3,8607 3,8608 3,8608 3,8609726 3,8609 3,861 3,8611 3,8611 3,8612 3,8612 3,8613 3,8614 3,8614 3,8615727 3,8615 3,8616 3,8617 3,8617 3,8618 3,8618 3,8619 3,862 3,862 3,8621728 3,8621 3,8622 3,8623 3,8623 3,8624 3,8624 3,8625 3,8625 3,8626 3,8627729 3,8627 3,8628 3,8628 3,8629 3,863 3,863 3,8631 3,8631 3,8632 3,8633730 3,8633 3,8634 3,8634 3,8635 3,8636 3,8636 3,8637 3,8637 3,8638 3,8639731 3,8639 3,864 3,864 3,8641 3,8642 3,8642 3,8643 3,8643 3,8644 3,8645732 3,8645 3,8646 3,8646 3,8647 3,8647 3,8648 3,8649 3,8649 3,865 3,865733 3,8651 3,8652 3,8652 3,8653 3,8653 3,8654 3,8655 3,8655 3,8656 3,8656734 3,8657 3,8658 3,8658 3,8659 3,8659 3,866 3,8661 3,8661 3,8662 3,8662735 3,8663 3,8663 3,8664 3,8665 3,8665 3,8666 3,8666 3,8667 3,8668 3,8668736 3,8669 3,8669 3,867 3,8671 3,8671 3,8672 3,8672 3,8673 3,8673 3,8674737 3,8675 3,8675 3,8676 3,8676 3,8677 3,8678 3,8678 3,8679 3,8679 3,868738 3,8681 3,8681 3,8682 3,8682 3,8683 3,8684 3,8684 3,8685 3,8685 3,8686739 3,8686 3,8687 3,8688 3,8688 3,8689 3,8689 3,869 3,8691 3,8691 3,8692740 3,8692 3,8693 3,8693 3,8694 3,8695 3,8695 3,8696 3,8696 3,8697 3,8698741 3,8698 3,8699 3,8699 3,87 3,8701 3,8701 3,8702 3,8702 3,8703 3,8703742 3,8704 3,8705 3,8705 3,8706 3,8706 3,8707 3,8708 3,8708 3,8709 3,8709743 3,871 3,871 3,8711 3,8712 3,8712 3,8713 3,8713 3,8714 3,8715 3,8715744 3,8716 3,8716 3,8717 3,8717 3,8718 3,8719 3,8719 3,872 3,872 3,8721745 3,8722 3,8722 3,8723 3,8723 3,8724 3,8724 3,8725 3,8726 3,8726 3,8727746 3,8727 3,8728 3,8729 3,8729 3,873 3,873 3,8731 3,8731 3,8732 3,8733747 3,8733 3,8734 3,8734 3,8735 3,8736 3,8736 3,8737 3,8737 3,8738 3,8738748 3,8739 3,874 3,874 3,8741 3,8741 3,8742 3,8742 3,8743 3,8744 3,8744749 3,8745 3,8745 3,8746 3,8747 3,8747 3,8748 3,8748 3,8749 3,8749 3,875750 3,8751 3,8751 3,8752 3,8752 3,8753 3,8754 3,8754 3,8755 3,8755 3,8756


N 0 1 2 3 4 5 6 7 8 9


750 3,8751 3,8752 3,8752 3,8753 3,8754 3,8754 3,8755 3,8755 3,8756751 3,8756 3,8757 3,8758 3,8758 3,8759 3,8759 3,876 3,876 3,8761 3,8762752 3,8762 3,8763 3,8763 3,8764 3,8764 3,8765 3,8766 3,8766 3,8767 3,8767753 3,8768 3,8769 3,8769 3,877 3,877 3,8771 3,8771 3,8772 3,8773 3,8773754 3,8774 3,8774 3,8775 3,8775 3,8776 3,8777 3,8777 3,8778 3,8778 3,8779755 3,8779 3,878 3,8781 3,8781 3,8782 3,8782 3,8783 3,8783 3,8784 3,8785756 3,8785 3,8786 3,8786 3,8787 3,8788 3,8788 3,8789 3,8789 3,879 3,879757 3,8791 3,8792 3,8792 3,8793 3,8793 3,8794 3,8794 3,8795 3,8796 3,8796758 3,8797 3,8797 3,8798 3,8798 3,8799 3,88 3,88 3,8801 3,8801 3,8802759 3,8802 3,8803 3,8804 3,8804 3,8805 3,8805 3,8806 3,8806 3,8807 3,8808760 3,8808 3,8809 3,8809 3,881 3,881 3,8811 3,8812 3,8812 3,8813 3,8813761 3,8814 3,8814 3,8815 3,8816 3,8816 3,8817 3,8817 3,8818 3,8818 3,8819762 3,882 3,882 3,8821 3,8821 3,8822 3,8822 3,8823 3,8824 3,8824 3,8825763 3,8825 3,8826 3,8826 3,8827 3,8828 3,8828 3,8829 3,8829 3,883 3,883764 3,8831 3,8832 3,8832 3,8833 3,8833 3,8834 3,8834 3,8835 3,8835 3,8836765 3,8837 3,8837 3,8838 3,8838 3,8839 3,8839 3,884 3,8841 3,8841 3,8842766 3,8842 3,8843 3,8843 3,8844 3,8845 3,8845 3,8846 3,8846 3,8847 3,8847767 3,8848 3,8849 3,8849 3,885 3,885 3,8851 3,8851 3,8852 3,8852 3,8853768 3,8854 3,8854 3,8855 3,8855 3,8856 3,8856 3,8857 3,8858 3,8858 3,8859769 3,8859 3,886 3,886 3,8861 3,8862 3,8862 3,8863 3,8863 3,8864 3,8864770 3,8865 3,8865 3,8866 3,8867 3,8867 3,8868 3,8868 3,8869 3,8869 3,887771 3,8871 3,8871 3,8872 3,8872 3,8873 3,8873 3,8874 3,8874 3,8875 3,8876772 3,8876 3,8877 3,8877 3,8878 3,8878 3,8879 3,888 3,888 3,8881 3,8881773 3,8882 3,8882 3,8883 3,8883 3,8884 3,8885 3,8885 3,8886 3,8886 3,8887774 3,8887 3,8888 3,8889 3,8889 3,889 3,889 3,8891 3,8891 3,8892 3,8892775 3,8893 3,8894 3,8894 3,8895 3,8895 3,8896 3,8896 3,8897 3,8897 3,8898776 3,8899 3,8899 3,89 3,89 3,8901 3,8901 3,8902 3,8903 3,8903 3,8904777 3,8904 3,8905 3,8905 3,8906 3,8906 3,8907 3,8908 3,8908 3,8909 3,8909778 3,891 3,891 3,8911 3,8911 3,8912 3,8913 3,8913 3,8914 3,8914 3,8915779 3,8915 3,8916 3,8916 3,8917 3,8918 3,8918 3,8919 3,8919 3,892 3,892780 3,8921 3,8922 3,8922 3,8923 3,8923 3,8924 3,8924 3,8925 3,8925 3,8926781 3,8927 3,8927 3,8928 3,8928 3,8929 3,8929 3,893 3,893 3,8931 3,8932782 3,8932 3,8933 3,8933 3,8934 3,8934 3,8935 3,8935 3,8936 3,8937 3,8937783 3,8938 3,8938 3,8939 3,8939 3,894 3,894 3,8941 3,8941 3,8942 3,8943784 3,8943 3,8944 3,8944 3,8945 3,8945 3,8946 3,8946 3,8947 3,8948 3,8948785 3,8949 3,8949 3,895 3,895 3,8951 3,8951 3,8952 3,8953 3,8953 3,8954786 3,8954 3,8955 3,8955 3,8956 3,8956 3,8957 3,8958 3,8958 3,8959 3,8959787 3,896 3,896 3,8961 3,8961 3,8962 3,8963 3,8963 3,8964 3,8964 3,8965788 3,8965 3,8966 3,8966 3,8967 3,8967 3,8968 3,8969 3,8969 3,897 3,897789 3,8971 3,8971 3,8972 3,8972 3,8973 3,8974 3,8974 3,8975 3,8975 3,8976790 3,8976 3,8977 3,8977 3,8978 3,8978 3,8979 3,898 3,898 3,8981 3,8981791 3,8982 3,8982 3,8983 3,8983 3,8984 3,8985 3,8985 3,8986 3,8986 3,8987792 3,8987 3,8988 3,8988 3,8989 3,8989 3,899 3,8991 3,8991 3,8992 3,8992793 3,8993 3,8993 3,8994 3,8994 3,8995 3,8995 3,8996 3,8997 3,8997 3,8998794 3,8998 3,8999 3,8999 3,9 3,9 3,9001 3,9001 3,9002 3,9003 3,9003795 3,9004 3,9004 3,9005 3,9005 3,9006 3,9006 3,9007 3,9007 3,9008 3,9009796 3,9009 3,901 3,901 3,9011 3,9011 3,9012 3,9012 3,9013 3,9013 3,9014797 3,9015 3,9015 3,9016 3,9016 3,9017 3,9017 3,9018 3,9018 3,9019 3,9019798 3,902 3,9021 3,9021 3,9022 3,9022 3,9023 3,9023 3,9024 3,9024 3,9025799 3,9025 3,9026 3,9027 3,9027 3,9028 3,9028 3,9029 3,9029 3,903 3,903800 3,9031 3,9031 3,9032 3,9033 3,9033 3,9034 3,9034 3,9035 3,9035 3,9036


8000-8500Logaritma

Biasa

N 0 1 2 3 4 5 6 7 8 9800 3,9031 3,9032 3,9033 3,9033 3,9034 3,9034 3,9035 3,9035 3,9036801 3,9036 3,9037 3,9037 3,9038 3,9038 3,9039 3,904 3,904 3,9041 3,9041802 3,9042 3,9042 3,9043 3,9043 3,9044 3,9044 3,9045 3,9046 3,9046 3,9047803 3,9047 3,9048 3,9048 3,9049 3,9049 3,905 3,905 3,9051 3,9051 3,9052804 3,9053 3,9053 3,9054 3,9054 3,9055 3,9055 3,9056 3,9056 3,9057 3,9057805 3,9058 3,9058 3,9059 3,906 3,906 3,9061 3,9061 3,9062 3,9062 3,9063806 3,9063 3,9064 3,9064 3,9065 3,9066 3,9066 3,9067 3,9067 3,9068 3,9068807 3,9069 3,9069 3,907 3,907 3,9071 3,9071 3,9072 3,9073 3,9073 3,9074808 3,9074 3,9075 3,9075 3,9076 3,9076 3,9077 3,9077 3,9078 3,9078 3,9079809 3,9079 3,908 3,9081 3,9081 3,9082 3,9082 3,9083 3,9083 3,9084 3,9084810 3,9085 3,9085 3,9086 3,9086 3,9087 3,9088 3,9088 3,9089 3,9089 3,909811 3,909 3,9091 3,9091 3,9092 3,9092 3,9093 3,9093 3,9094 3,9094 3,9095812 3,9096 3,9096 3,9097 3,9097 3,9098 3,9098 3,9099 3,9099 3,91 3,91813 3,9101 3,9101 3,9102 3,9103 3,9103 3,9104 3,9104 3,9105 3,9105 3,9106814 3,9106 3,9107 3,9107 3,9108 3,9108 3,9109 3,9109 3,911 3,9111 3,9111815 3,9112 3,9112 3,9113 3,9113 3,9114 3,9114 3,9115 3,9115 3,9116 3,9116816 3,9117 3,9117 3,9118 3,9118 3,9119 3,912 3,912 3,9121 3,9121 3,9122817 3,9122 3,9123 3,9123 3,9124 3,9124 3,9125 3,9125 3,9126 3,9126 3,9127818 3,9128 3,9128 3,9129 3,9129 3,913 3,913 3,9131 3,9131 3,9132 3,9132819 3,9133 3,9133 3,9134 3,9134 3,9135 3,9135 3,9136 3,9137 3,9137 3,9138820 3,9138 3,9139 3,9139 3,914 3,914 3,9141 3,9141 3,9142 3,9142 3,9143821 3,9143 3,9144 3,9144 3,9145 3,9146 3,9146 3,9147 3,9147 3,9148 3,9148822 3,9149 3,9149 3,915 3,915 3,9151 3,9151 3,9152 3,9152 3,9153 3,9153823 3,9154 3,9155 3,9155 3,9156 3,9156 3,9157 3,9157 3,9158 3,9158 3,9159824 3,9159 3,916 3,916 3,9161 3,9161 3,9162 3,9162 3,9163 3,9163 3,9164825 3,9165 3,9165 3,9166 3,9166 3,9167 3,9167 3,9168 3,9168 3,9169 3,9169826 3,917 3,917 3,9171 3,9171 3,9172 3,9172 3,9173 3,9173 3,9174 3,9175827 3,9175 3,9176 3,9176 3,9177 3,9177 3,9178 3,9178 3,9179 3,9179 3,918828 3,918 3,9181 3,9181 3,9182 3,9182 3,9183 3,9183 3,9184 3,9184 3,9185829 3,9186 3,9186 3,9187 3,9187 3,9188 3,9188 3,9189 3,9189 3,919 3,919830 3,9191 3,9191 3,9192 3,9192 3,9193 3,9193 3,9194 3,9194 3,9195 3,9195831 3,9196 3,9197 3,9197 3,9198 3,9198 3,9199 3,9199 3,92 3,92 3,9201832 3,9201 3,9202 3,9202 3,9203 3,9203 3,9204 3,9204 3,9205 3,9205 3,9206833 3,9206 3,9207 3,9207 3,9208 3,9209 3,9209 3,921 3,921 3,9211 3,9211834 3,9212 3,9212 3,9213 3,9213 3,9214 3,9214 3,9215 3,9215 3,9216 3,9216835 3,9217 3,9217 3,9218 3,9218 3,9219 3,9219 3,922 3,9221 3,9221 3,9222836 3,9222 3,9223 3,9223 3,9224 3,9224 3,9225 3,9225 3,9226 3,9226 3,9227837 3,9227 3,9228 3,9228 3,9229 3,9229 3,923 3,923 3,9231 3,9231 3,9232


838 3,9232 3,9233 3,9233 3,9234 3,9235 3,9235 3,9236 3,9236 3,9237 3,9237839 3,9238 3,9238 3,9239 3,9239 3,924 3,924 3,9241 3,9241 3,9242 3,9242840 3,9243 3,9243 3,9244 3,9244 3,9245 3,9245 3,9246 3,9246 3,9247 3,9247841 3,9248 3,9248 3,9249 3,925 3,925 3,9251 3,9251 3,9252 3,9252 3,9253842 3,9253 3,9254 3,9254 3,9255 3,9255 3,9256 3,9256 3,9257 3,9257 3,9258843 3,9258 3,9259 3,9259 3,926 3,926 3,9261 3,9261 3,9262 3,9262 3,9263844 3,9263 3,9264 3,9264 3,9265 3,9265 3,9266 3,9267 3,9267 3,9268 3,9268845 3,9269 3,9269 3,927 3,927 3,9271 3,9271 3,9272 3,9272 3,9273 3,9273846 3,9274 3,9274 3,9275 3,9275 3,9276 3,9276 3,9277 3,9277 3,9278 3,9278847 3,9279 3,9279 3,928 3,928 3,9281 3,9281 3,9282 3,9282 3,9283 3,9283848 3,9284 3,9284 3,9285 3,9285 3,9286 3,9287 3,9287 3,9288 3,9288 3,9289849 3,9289 3,929 3,929 3,9291 3,9291 3,9292 3,9292 3,9293 3,9293 3,9294850 3,9294 3,9295 3,9295 3,9296 3,9296 3,9297 3,9297 3,9298 3,9298 3,9299


N 0 1 2 3 4 5 6 7 8 9850 3,9295 3,9295 3,9296 3,9296 3,9297 3,9297 3,9298 3,9298 3,9299851 3,9299 3,93 3,93 3,9301 3,9301 3,9302 3,9302 3,9303 3,9303 3,9304852 3,9304 3,9305 3,9305 3,9306 3,9306 3,9307 3,9307 3,9308 3,9308 3,9309853 3,9309 3,931 3,9311 3,9311 3,9312 3,9312 3,9313 3,9313 3,9314 3,9314854 3,9315 3,9315 3,9316 3,9316 3,9317 3,9317 3,9318 3,9318 3,9319 3,9319855 3,932 3,932 3,9321 3,9321 3,9322 3,9322 3,9323 3,9323 3,9324 3,9324856 3,9325 3,9325 3,9326 3,9326 3,9327 3,9327 3,9328 3,9328 3,9329 3,9329857 3,933 3,933 3,9331 3,9331 3,9332 3,9332 3,9333 3,9333 3,9334 3,9334858 3,9335 3,9335 3,9336 3,9336 3,9337 3,9337 3,9338 3,9338 3,9339 3,9339859 3,934 3,934 3,9341 3,9341 3,9342 3,9342 3,9343 3,9343 3,9344 3,9344860 3,9345 3,9345 3,9346 3,9346 3,9347 3,9348 3,9348 3,9349 3,9349 3,935861 3,935 3,9351 3,9351 3,9352 3,9352 3,9353 3,9353 3,9354 3,9354 3,9355862 3,9355 3,9356 3,9356 3,9357 3,9357 3,9358 3,9358 3,9359 3,9359 3,936863 3,936 3,9361 3,9361 3,9362 3,9362 3,9363 3,9363 3,9364 3,9364 3,9365864 3,9365 3,9366 3,9366 3,9367 3,9367 3,9368 3,9368 3,9369 3,9369 3,937865 3,937 3,9371 3,9371 3,9372 3,9372 3,9373 3,9373 3,9374 3,9374 3,9375866 3,9375 3,9376 3,9376 3,9377 3,9377 3,9378 3,9378 3,9379 3,9379 3,938867 3,938 3,9381 3,9381 3,9382 3,9382 3,9383 3,9383 3,9384 3,9384 3,9385868 3,9385 3,9386 3,9386 3,9387 3,9387 3,9388 3,9388 3,9389 3,9389 3,939869 3,939 3,9391 3,9391 3,9392 3,9392 3,9393 3,9393 3,9394 3,9394 3,9395870 3,9395 3,9396 3,9396 3,9397 3,9397 3,9398 3,9398 3,9399 3,9399 3,94871 3,94 3,9401 3,9401 3,9402 3,9402 3,9403 3,9403 3,9404 3,9404 3,9405872 3,9405 3,9406 3,9406 3,9407 3,9407 3,9408 3,9408 3,9409 3,9409 3,941873 3,941 3,9411 3,9411 3,9412 3,9412 3,9413 3,9413 3,9414 3,9414 3,9415874 3,9415 3,9416 3,9416 3,9417 3,9417 3,9418 3,9418 3,9419 3,9419 3,942875 3,942 3,9421 3,9421 3,9422 3,9422 3,9423 3,9423 3,9424 3,9424 3,9425876 3,9425 3,9426 3,9426 3,9427 3,9427 3,9428 3,9428 3,9429 3,9429 3,943877 3,943 3,943 3,9431 3,9431 3,9432 3,9432 3,9433 3,9433 3,9434 3,9434878 3,9435 3,9435 3,9436 3,9436 3,9437 3,9437 3,9438 3,9438 3,9439 3,9439879 3,944 3,944 3,9441 3,9441 3,9442 3,9442 3,9443 3,9443 3,9444 3,9444880 3,9445 3,9445 3,9446 3,9446 3,9447 3,9447 3,9448 3,9448 3,9449 3,9449881 3,945 3,945 3,9451 3,9451 3,9452 3,9452 3,9453 3,9453 3,9454 3,9454


882 3,9455 3,9455 3,9456 3,9456 3,9457 3,9457 3,9458 3,9458 3,9459 3,9459883 3,946 3,946 3,9461 3,9461 3,9462 3,9462 3,9463 3,9463 3,9464 3,9464884 3,9465 3,9465 3,9466 3,9466 3,9466 3,9467 3,9467 3,9468 3,9468 3,9469885 3,9469 3,947 3,947 3,9471 3,9471 3,9472 3,9472 3,9473 3,9473 3,9474886 3,9474 3,9475 3,9475 3,9476 3,9476 3,9477 3,9477 3,9478 3,9478 3,9479887 3,9479 3,948 3,948 3,9481 3,9481 3,9482 3,9482 3,9483 3,9483 3,9484888 3,9484 3,9485 3,9485 3,9486 3,9486 3,9487 3,9487 3,9488 3,9488 3,9489889 3,9489 3,949 3,949 3,949 3,9491 3,9491 3,9492 3,9492 3,9493 3,9493890 3,9494 3,9494 3,9495 3,9495 3,9496 3,9496 3,9497 3,9497 3,9498 3,9498891 3,9499 3,9499 3,95 3,95 3,9501 3,9501 3,9502 3,9502 3,9503 3,9503892 3,9504 3,9504 3,9505 3,9505 3,9506 3,9506 3,9507 3,9507 3,9508 3,9508893 3,9509 3,9509 3,9509 3,951 3,951 3,9511 3,9511 3,9512 3,9512 3,9513894 3,9513 3,9514 3,9514 3,9515 3,9515 3,9516 3,9516 3,9517 3,9517 3,9518895 3,9518 3,9519 3,9519 3,952 3,952 3,9521 3,9521 3,9522 3,9522 3,9523896 3,9523 3,9524 3,9524 3,9525 3,9525 3,9526 3,9526 3,9526 3,9527 3,9527897 3,9528 3,9528 3,9529 3,9529 3,953 3,953 3,9531 3,9531 3,9532 3,9532898 3,9533 3,9533 3,9534 3,9534 3,9535 3,9535 3,9536 3,9536 3,9537 3,9537899 3,9538 3,9538 3,9539 3,9539 3,954 3,954 3,954 3,9541 3,9541 3,9542900 3,9542 3,9543 3,9543 3,9544 3,9544 3,9545 3,9545 3,9546 3,9546 3,9547


N 0 1 2 3 4 5 6 7 8 9900 3,9543 3,9543 3,9544 3,9544 3,9545 3,9545 3,9546 3,9546 3,9547901 3,9547 3,9548 3,9548 3,9549 3,9549 3,955 3,955 3,9551 3,9551 3,9552902 3,9552 3,9553 3,9553 3,9554 3,9554 3,9554 3,9555 3,9555 3,9556 3,9556903 3,9557 3,9557 3,9558 3,9558 3,9559 3,9559 3,956 3,956 3,9561 3,9561904 3,9562 3,9562 3,9563 3,9563 3,9564 3,9564 3,9565 3,9565 3,9566 3,9566905 3,9566 3,9567 3,9567 3,9568 3,9568 3,9569 3,9569 3,957 3,957 3,9571906 3,9571 3,9572 3,9572 3,9573 3,9573 3,9574 3,9574 3,9575 3,9575 3,9576907 3,9576 3,9577 3,9577 3,9578 3,9578 3,9578 3,9579 3,9579 3,958 3,958908 3,9581 3,9581 3,9582 3,9582 3,9583 3,9583 3,9584 3,9584 3,9585 3,9585909 3,9586 3,9586 3,9587 3,9587 3,9588 3,9588 3,9589 3,9589 3,9589 3,959910 3,959 3,9591 3,9591 3,9592 3,9592 3,9593 3,9593 3,9594 3,9594 3,9595911 3,9595 3,9596 3,9596 3,9597 3,9597 3,9598 3,9598 3,9599 3,9599 3,9599912 3,96 3,96 3,9601 3,9601 3,9602 3,9602 3,9603 3,9603 3,9604 3,9604913 3,9605 3,9605 3,9606 3,9606 3,9607 3,9607 3,9608 3,9608 3,9609 3,9609914 3,9609 3,961 3,961 3,9611 3,9611 3,9612 3,9612 3,9613 3,9613 3,9614915 3,9614 3,9615 3,9615 3,9616 3,9616 3,9617 3,9617 3,9618 3,9618 3,9618916 3,9619 3,9619 3,962 3,962 3,9621 3,9621 3,9622 3,9622 3,9623 3,9623917 3,9624 3,9624 3,9625 3,9625 3,9626 3,9626 3,9627 3,9627 3,9627 3,9628918 3,9628 3,9629 3,9629 3,963 3,963 3,9631 3,9631 3,9632 3,9632 3,9633919 3,9633 3,9634 3,9634 3,9635 3,9635 3,9636 3,9636 3,9636 3,9637 3,9637920 3,9638 3,9638 3,9639 3,9639 3,964 3,964 3,9641 3,9641 3,9642 3,9642921 3,9643 3,9643 3,9644 3,9644 3,9644 3,9645 3,9645 3,9646 3,9646 3,9647922 3,9647 3,9648 3,9648 3,9649 3,9649 3,965 3,965 3,9651 3,9651 3,9652


923 3,9652 3,9652 3,9653 3,9653 3,9654 3,9654 3,9655 3,9655 3,9656 3,9656924 3,9657 3,9657 3,9658 3,9658 3,9659 3,9659 3,966 3,966 3,966 3,9661925 3,9661 3,9662 3,9662 3,9663 3,9663 3,9664 3,9664 3,9665 3,9665 3,9666926 3,9666 3,9667 3,9667 3,9668 3,9668 3,9668 3,9669 3,9669 3,967 3,967927 3,9671 3,9671 3,9672 3,9672 3,9673 3,9673 3,9674 3,9674 3,9675 3,9675928 3,9675 3,9676 3,9676 3,9677 3,9677 3,9678 3,9678 3,9679 3,9679 3,968929 3,968 3,9681 3,9681 3,9682 3,9682 3,9682 3,9683 3,9683 3,9684 3,9684930 3,9685 3,9685 3,9686 3,9686 3,9687 3,9687 3,9688 3,9688 3,9689 3,9689931 3,9689 3,969 3,969 3,9691 3,9691 3,9692 3,9692 3,9693 3,9693 3,9694932 3,9694 3,9695 3,9695 3,9696 3,9696 3,9696 3,9697 3,9697 3,9698 3,9698933 3,9699 3,9699 3,97 3,97 3,9701 3,9701 3,9702 3,9702 3,9703 3,9703934 3,9703 3,9704 3,9704 3,9705 3,9705 3,9706 3,9706 3,9707 3,9707 3,9708935 3,9708 3,9709 3,9709 3,971 3,971 3,971 3,9711 3,9711 3,9712 3,9712936 3,9713 3,9713 3,9714 3,9714 3,9715 3,9715 3,9716 3,9716 3,9716 3,9717937 3,9717 3,9718 3,9718 3,9719 3,9719 3,972 3,972 3,9721 3,9721 3,9722938 3,9722 3,9722 3,9723 3,9723 3,9724 3,9724 3,9725 3,9725 3,9726 3,9726939 3,9727 3,9727 3,9728 3,9728 3,9729 3,9729 3,9729 3,973 3,973 3,9731940 3,9731 3,9732 3,9732 3,9733 3,9733 3,9734 3,9734 3,9735 3,9735 3,9735941 3,9736 3,9736 3,9737 3,9737 3,9738 3,9738 3,9739 3,9739 3,974 3,974942 3,9741 3,9741 3,9741 3,9742 3,9742 3,9743 3,9743 3,9744 3,9744 3,9745943 3,9745 3,9746 3,9746 3,9746 3,9747 3,9747 3,9748 3,9748 3,9749 3,9749944 3,975 3,975 3,9751 3,9751 3,9752 3,9752 3,9752 3,9753 3,9753 3,9754945 3,9754 3,9755 3,9755 3,9756 3,9756 3,9757 3,9757 3,9758 3,9758 3,9758946 3,9759 3,9759 3,976 3,976 3,9761 3,9761 3,9762 3,9762 3,9763 3,9763947 3,9763 3,9764 3,9764 3,9765 3,9765 3,9766 3,9766 3,9767 3,9767 3,9768948 3,9768 3,9769 3,9769 3,9769 3,977 3,977 3,9771 3,9771 3,9772 3,9772949 3,9773 3,9773 3,9774 3,9774 3,9774 3,9775 3,9775 3,9776 3,9776 3,9777950 3,9777 3,9778 3,9778 3,9779 3,9779 3,978 3,978 3,978 3,9781 3,9781


N 0 1 2 3 4 5 6 7 8 9950 3,9778 3,9778 3,9779 3,9779 3,978 3,978 3,978 3,9781 3,9781951 3,9782 3,9782 3,9783 3,9783 3,9784 3,9784 3,9785 3,9785 3,9785 3,9786952 3,9786 3,9787 3,9787 3,9788 3,9788 3,9789 3,9789 3,979 3,979 3,979953 3,9791 3,9791 3,9792 3,9792 3,9793 3,9793 3,9794 3,9794 3,9795 3,9795954 3,9795 3,9796 3,9796 3,9797 3,9797 3,9798 3,9798 3,9799 3,9799 3,98955 3,98 3,98 3,9801 3,9801 3,9802 3,9802 3,9803 3,9803 3,9804 3,9804956 3,9805 3,9805 3,9805 3,9806 3,9806 3,9807 3,9807 3,9808 3,9808 3,9809957 3,9809 3,981 3,981 3,981 3,9811 3,9811 3,9812 3,9812 3,9813 3,9813958 3,9814 3,9814 3,9815 3,9815 3,9815 3,9816 3,9816 3,9817 3,9817 3,9818959 3,9818 3,9819 3,9819 3,982 3,982 3,982 3,9821 3,9821 3,9822 3,9822960 3,9823 3,9823 3,9824 3,9824 3,9825 3,9825 3,9825 3,9826 3,9826 3,9827961 3,9827 3,9828 3,9828 3,9829 3,9829 3,9829 3,983 3,983 3,9831 3,9831962 3,9832 3,9832 3,9833 3,9833 3,9834 3,9834 3,9834 3,9835 3,9835 3,9836963 3,9836 3,9837 3,9837 3,9838 3,9838 3,9839 3,9839 3,9839 3,984 3,984964 3,9841 3,9841 3,9842 3,9842 3,9843 3,9843 3,9843 3,9844 3,9844 3,9845


965 3,9845 3,9846 3,9846 3,9847 3,9847 3,9848 3,9848 3,9848 3,9849 3,9849966 3,985 3,985 3,9851 3,9851 3,9852 3,9852 3,9852 3,9853 3,9853 3,9854967 3,9854 3,9855 3,9855 3,9856 3,9856 3,9857 3,9857 3,9857 3,9858 3,9858968 3,9859 3,9859 3,986 3,986 3,9861 3,9861 3,9861 3,9862 3,9862 3,9863969 3,9863 3,9864 3,9864 3,9865 3,9865 3,9865 3,9866 3,9866 3,9867 3,9867970 3,9868 3,9868 3,9869 3,9869 3,987 3,987 3,987 3,9871 3,9871 3,9872971 3,9872 3,9873 3,9873 3,9874 3,9874 3,9874 3,9875 3,9875 3,9876 3,9876972 3,9877 3,9877 3,9878 3,9878 3,9878 3,9879 3,9879 3,988 3,988 3,9881973 3,9881 3,9882 3,9882 3,9882 3,9883 3,9883 3,9884 3,9884 3,9885 3,9885974 3,9886 3,9886 3,9886 3,9887 3,9887 3,9888 3,9888 3,9889 3,9889 3,989975 3,989 3,989 3,9891 3,9891 3,9892 3,9892 3,9893 3,9893 3,9894 3,9894976 3,9894 3,9895 3,9895 3,9896 3,9896 3,9897 3,9897 3,9898 3,9898 3,9899977 3,9899 3,9899 3,99 3,99 3,9901 3,9901 3,9902 3,9902 3,9903 3,9903978 3,9903 3,9904 3,9904 3,9905 3,9905 3,9906 3,9906 3,9906 3,9907 3,9907979 3,9908 3,9908 3,9909 3,9909 3,991 3,991 3,991 3,9911 3,9911 3,9912980 3,9912 3,9913 3,9913 3,9914 3,9914 3,9914 3,9915 3,9915 3,9916 3,9916981 3,9917 3,9917 3,9918 3,9918 3,9918 3,9919 3,9919 3,992 3,992 3,9921982 3,9921 3,9922 3,9922 3,9922 3,9923 3,9923 3,9924 3,9924 3,9925 3,9925983 3,9926 3,9926 3,9926 3,9927 3,9927 3,9928 3,9928 3,9929 3,9929 3,993984 3,993 3,993 3,9931 3,9931 3,9932 3,9932 3,9933 3,9933 3,9933 3,9934985 3,9934 3,9935 3,9935 3,9936 3,9936 3,9937 3,9937 3,9937 3,9938 3,9938986 3,9939 3,9939 3,994 3,994 3,9941 3,9941 3,9941 3,9942 3,9942 3,9943987 3,9943 3,9944 3,9944 3,9944 3,9945 3,9945 3,9946 3,9946 3,9947 3,9947988 3,9948 3,9948 3,9948 3,9949 3,9949 3,995 3,995 3,9951 3,9951 3,9952989 3,9952 3,9952 3,9953 3,9953 3,9954 3,9954 3,9955 3,9955 3,9955 3,9956990 3,9956 3,9957 3,9957 3,9958 3,9958 3,9959 3,9959 3,9959 3,996 3,996991 3,9961 3,9961 3,9962 3,9962 3,9962 3,9963 3,9963 3,9964 3,9964 3,9965992 3,9965 3,9966 3,9966 3,9966 3,9967 3,9967 3,9968 3,9968 3,9969 3,9969993 3,9969 3,997 3,997 3,9971 3,9971 3,9972 3,9972 3,9973 3,9973 3,9973994 3,9974 3,9974 3,9975 3,9975 3,9976 3,9976 3,9976 3,9977 3,9977 3,9978995 3,9978 3,9979 3,9979 3,998 3,998 3,998 3,9981 3,9981 3,9982 3,9982996 3,9983 3,9983 3,9983 3,9984 3,9984 3,9985 3,9985 3,9986 3,9986 3,9987997 3,9987 3,9987 3,9988 3,9988 3,9989 3,9989 3,999 3,999 3,999 3,9991998 3,9991 3,9992 3,9992 3,9993 3,9993 3,9993 3,9994 3,9994 3,9995 3,9995999 3,9996 3,9996 3,9997 3,9997 3,9997 3,9998 3,9998 3,9999 3,9999 41000 4 4 4,0001 4,0001 4,0002 4,0002 4,0003 4,0003 4,0003 4,0004


N 0 1 2 3 4 5 6 7 8 91000 4 4,0001 4,0001 4,0002 4,0002 4,0003 4,0003 4,0003 4,00041001 4,0004 4,0005 4,0005 4,0006 4,0006 4,0007 4,0007 4,0007 4,0008 4,00081002 4,0009 4,0009 4,001 4,001 4,001 4,0011 4,0011 4,0012 4,0012 4,00131003 4,0013 4,0013 4,0014 4,0014 4,0015 4,0015 4,0016 4,0016 4,0016 4,00171004 4,0017 4,0018 4,0018 4,0019 4,0019 4,0019 4,002 4,002 4,0021 4,00211005 4,0022 4,0022 4,0023 4,0023 4,0023 4,0024 4,0024 4,0025 4,0025 4,00261006 4,0026 4,0026 4,0027 4,0027 4,0028 4,0028 4,0029 4,0029 4,0029 4,003


1007 4,003 4,0031 4,0031 4,0032 4,0032 4,0032 4,0033 4,0033 4,0034 4,00341008 4,0035 4,0035 4,0035 4,0036 4,0036 4,0037 4,0037 4,0038 4,0038 4,00381009 4,0039 4,0039 4,004 4,004 4,0041 4,0041 4,0041 4,0042 4,0042 4,00431010 4,0043 4,0044 4,0044 4,0045 4,0045 4,0045 4,0046 4,0046 4,0047 4,00471011 4,0048 4,0048 4,0048 4,0049 4,0049 4,005 4,005 4,0051 4,0051 4,00511012 4,0052 4,0052 4,0053 4,0053 4,0054 4,0054 4,0054 4,0055 4,0055 4,00561013 4,0056 4,0057 4,0057 4,0057 4,0058 4,0058 4,0059 4,0059 4,006 4,0061014 4,006 4,0061 4,0061 4,0062 4,0062 4,0063 4,0063 4,0063 4,0064 4,00641015 4,0065 4,0065 4,0066 4,0066 4,0066 4,0067 4,0067 4,0068 4,0068 4,00691016 4,0069 4,0069 4,007 4,007 4,0071 4,0071 4,0072 4,0072 4,0072 4,00731017 4,0073 4,0074 4,0074 4,0074 4,0075 4,0075 4,0076 4,0076 4,0077 4,00771018 4,0077 4,0078 4,0078 4,0079 4,0079 4,008 4,008 4,008 4,0081 4,00811019 4,0082 4,0082 4,0083 4,0083 4,0083 4,0084 4,0084 4,0085 4,0085 4,00861020 4,0086 4,0086 4,0087 4,0087 4,0088 4,0088 4,0089 4,0089 4,0089 4,0091021 4,009 4,0091 4,0091 4,0092 4,0092 4,0092 4,0093 4,0093 4,0094 4,00941022 4,0095 4,0095 4,0095 4,0096 4,0096 4,0097 4,0097 4,0097 4,0098 4,00981023 4,0099 4,0099 4,01 4,01 4,01 4,0101 4,0101 4,0102 4,0102 4,01031024 4,0103 4,0103 4,0104 4,0104 4,0105 4,0105 4,0106 4,0106 4,0106 4,01071025 4,0107 4,0108 4,0108 4,0109 4,0109 4,0109 4,011 4,011 4,0111 4,01111026 4,0111 4,0112 4,0112 4,0113 4,0113 4,0114 4,0114 4,0114 4,0115 4,01151027 4,0116 4,0116 4,0117 4,0117 4,0117 4,0118 4,0118 4,0119 4,0119 4,0121028 4,012 4,012 4,0121 4,0121 4,0122 4,0122 4,0122 4,0123 4,0123 4,01241029 4,0124 4,0125 4,0125 4,0125 4,0126 4,0126 4,0127 4,0127 4,0128 4,01281030 4,0128 4,0129 4,0129 4,013 4,013 4,013 4,0131 4,0131 4,0132 4,01321031 4,0133 4,0133 4,0133 4,0134 4,0134 4,0135 4,0135 4,0136 4,0136 4,01361032 4,0137 4,0137 4,0138 4,0138 4,0138 4,0139 4,0139 4,014 4,014 4,01411033 4,0141 4,0141 4,0142 4,0142 4,0143 4,0143 4,0144 4,0144 4,0144 4,01451034 4,0145 4,0146 4,0146 4,0146 4,0147 4,0147 4,0148 4,0148 4,0149 4,01491035 4,0149 4,015 4,015 4,0151 4,0151 4,0152 4,0152 4,0152 4,0153 4,01531036 4,0154 4,0154 4,0154 4,0155 4,0155 4,0156 4,0156 4,0157 4,0157 4,01571037 4,0158 4,0158 4,0159 4,0159 4,0159 4,016 4,016 4,0161 4,0161 4,01621038 4,0162 4,0162 4,0163 4,0163 4,0164 4,0164 4,0164 4,0165 4,0165 4,01661039 4,0166 4,0167 4,0167 4,0167 4,0168 4,0168 4,0169 4,0169 4,0169 4,0171040 4,017 4,0171 4,0171 4,0172 4,0172 4,0172 4,0173 4,0173 4,0174 4,01741041 4,0175 4,0175 4,0175 4,0176 4,0176 4,0177 4,0177 4,0177 4,0178 4,01781042 4,0179 4,0179 4,018 4,018 4,018 4,0181 4,0181 4,0182 4,0182 4,01821043 4,0183 4,0183 4,0184 4,0184 4,0185 4,0185 4,0185 4,0186 4,0186 4,01871044 4,0187 4,0187 4,0188 4,0188 4,0189 4,0189 4,019 4,019 4,019 4,01911045 4,0191 4,0192 4,0192 4,0192 4,0193 4,0193 4,0194 4,0194 4,0194 4,01951046 4,0195 4,0196 4,0196 4,0197 4,0197 4,0197 4,0198 4,0198 4,0199 4,01991047 4,0199 4,02 4,02 4,0201 4,0201 4,0202 4,0202 4,0202 4,0203 4,02031048 4,0204 4,0204 4,0204 4,0205 4,0205 4,0206 4,0206 4,0207 4,0207 4,02071049 4,0208 4,0208 4,0209 4,0209 4,0209 4,021 4,021 4,0211 4,0211 4,02111050 4,0212 4,0212 4,0213 4,0213 4,0214 4,0214 4,0214 4,0215 4,0215 4,0216



N 0 1 2 3 4 5 6 7 8 91050 4,0212 4,0213 4,0213 4,0214 4,0214 4,0214 4,0215 4,0215 4,02161051 4,0216 4,0216 4,0217 4,0217 4,0218 4,0218 4,0219 4,0219 4,0219 4,0221052 4,022 4,0221 4,0221 4,0221 4,0222 4,0222 4,0223 4,0223 4,0223 4,02241053 4,0224 4,0225 4,0225 4,0226 4,0226 4,0226 4,0227 4,0227 4,0228 4,02281054 4,0228 4,0229 4,0229 4,023 4,023 4,023 4,0231 4,0231 4,0232 4,02321055 4,0233 4,0233 4,0233 4,0234 4,0234 4,0235 4,0235 4,0235 4,0236 4,02361056 4,0237 4,0237 4,0237 4,0238 4,0238 4,0239 4,0239 4,024 4,024 4,0241057 4,0241 4,0241 4,0242 4,0242 4,0242 4,0243 4,0243 4,0244 4,0244 4,02441058 4,0245 4,0245 4,0246 4,0246 4,0246 4,0247 4,0247 4,0248 4,0248 4,02491059 4,0249 4,0249 4,025 4,025 4,0251 4,0251 4,0251 4,0252 4,0252 4,02531060 4,0253 4,0253 4,0254 4,0254 4,0255 4,0255 4,0256 4,0256 4,0256 4,02571061 4,0257 4,0258 4,0258 4,0258 4,0259 4,0259 4,026 4,026 4,026 4,02611062 4,0261 4,0262 4,0262 4,0262 4,0263 4,0263 4,0264 4,0264 4,0265 4,02651063 4,0265 4,0266 4,0266 4,0267 4,0267 4,0267 4,0268 4,0268 4,0269 4,02691064 4,0269 4,027 4,027 4,0271 4,0271 4,0271 4,0272 4,0272 4,0273 4,02731065 4,0273 4,0274 4,0274 4,0275 4,0275 4,0276 4,0276 4,0276 4,0277 4,02771066 4,0278 4,0278 4,0278 4,0279 4,0279 4,028 4,028 4,028 4,0281 4,02811067 4,0282 4,0282 4,0282 4,0283 4,0283 4,0284 4,0284 4,0284 4,0285 4,02851068 4,0286 4,0286 4,0287 4,0287 4,0287 4,0288 4,0288 4,0289 4,0289 4,02891069 4,029 4,029 4,0291 4,0291 4,0291 4,0292 4,0292 4,0293 4,0293 4,02931070 4,0294 4,0294 4,0295 4,0295 4,0295 4,0296 4,0296 4,0297 4,0297 4,02971071 4,0298 4,0298 4,0299 4,0299 4,03 4,03 4,03 4,0301 4,0301 4,03021072 4,0302 4,0302 4,0303 4,0303 4,0304 4,0304 4,0304 4,0305 4,0305 4,03061073 4,0306 4,0306 4,0307 4,0307 4,0308 4,0308 4,0308 4,0309 4,0309 4,0311074 4,031 4,031 4,0311 4,0311 4,0312 4,0312 4,0312 4,0313 4,0313 4,03141075 4,0314 4,0314 4,0315 4,0315 4,0316 4,0316 4,0317 4,0317 4,0317 4,03181076 4,0318 4,0319 4,0319 4,0319 4,032 4,032 4,0321 4,0321 4,0321 4,03221077 4,0322 4,0323 4,0323 4,0323 4,0324 4,0324 4,0325 4,0325 4,0325 4,03261078 4,0326 4,0327 4,0327 4,0327 4,0328 4,0328 4,0329 4,0329 4,0329 4,0331079 4,033 4,0331 4,0331 4,0331 4,0332 4,0332 4,0333 4,0333 4,0333 4,03341080 4,0334 4,0335 4,0335 4,0335 4,0336 4,0336 4,0337 4,0337 4,0337 4,03381081 4,0338 4,0339 4,0339 4,0339 4,034 4,034 4,0341 4,0341 4,0341 4,03421082 4,0342 4,0343 4,0343 4,0343 4,0344 4,0344 4,0345 4,0345 4,0345 4,03461083 4,0346 4,0347 4,0347 4,0347 4,0348 4,0348 4,0349 4,0349 4,0349 4,0351084 4,035 4,0351 4,0351 4,0351 4,0352 4,0352 4,0353 4,0353 4,0353 4,03541085 4,0354 4,0355 4,0355 4,0355 4,0356 4,0356 4,0357 4,0357 4,0357 4,03581086 4,0358 4,0359 4,0359 4,0359 4,036 4,036 4,0361 4,0361 4,0361 4,03621087 4,0362 4,0363 4,0363 4,0363 4,0364 4,0364 4,0365 4,0365 4,0365 4,03661088 4,0366 4,0367 4,0367 4,0367 4,0368 4,0368 4,0369 4,0369 4,0369 4,0371089 4,037 4,0371 4,0371 4,0371 4,0372 4,0372 4,0373 4,0373 4,0373 4,03741090 4,0374 4,0375 4,0375 4,0375 4,0376 4,0376 4,0377 4,0377 4,0377 4,03781091 4,0378 4,0379 4,0379 4,0379 4,038 4,038 4,0381 4,0381 4,0381 4,03821092 4,0382 4,0383 4,0383 4,0383 4,0384 4,0384 4,0385 4,0385 4,0385 4,03861093 4,0386 4,0387 4,0387 4,0387 4,0388 4,0388 4,0389 4,0389 4,0389 4,0391094 4,039 4,0391 4,0391 4,0391 4,0392 4,0392 4,0393 4,0393 4,0393 4,03941095 4,0394 4,0395 4,0395 4,0395 4,0396 4,0396 4,0397 4,0397 4,0397 4,03981096 4,0398 4,0399 4,0399 4,0399 4,04 4,04 4,04 4,0401 4,0401 4,04021097 4,0402 4,0402 4,0403 4,0403 4,0404 4,0404 4,0404 4,0405 4,0405 4,04061098 4,0406 4,0406 4,0407 4,0407 4,0408 4,0408 4,0408 4,0409 4,0409 4,0411099 4,041 4,041 4,0411 4,0411 4,0412 4,0412 4,0412 4,0413 4,0413 4,0414


1100 4,0414 4,0414 4,0415 4,0415 4,0416 4,0416 4,0416 4,0417 4,0417 4,0417

LOGARITMA NATURAL

N Ln (N) N Ln (N) N Ln (N)1 0 51 3,931826 101 4,6151212 0,693147 52 3,951244 102 4,6249733 1,098612 53 3,970292 103 4,6347294 1,386294 54 3,988984 104 4,6443915 1,609438 55 4,007333 105 4,653966 1,791759 56 4,025352 106 4,6634397 1,94591 57 4,043051 107 4,6728298 2,079442 58 4,060443 108 4,6821319 2,197225 59 4,077537 109 4,691348

10 2,302585 60 4,094345 110 4,7004811 2,397895 61 4,110874 111 4,7095312 2,484907 62 4,127134 112 4,71849913 2,564949 63 4,143135 113 4,72738814 2,639057 64 4,158883 114 4,73619815 2,70805 65 4,174387 115 4,74493216 2,772589 66 4,189655 116 4,7535917 2,833213 67 4,204693 117 4,76217418 2,890372 68 4,219508 118 4,77068519 2,944439 69 4,234107 119 4,77912320 2,995732 70 4,248495 120 4,78749221 3,044522 71 4,26268 121 4,79579122 3,091042 72 4,276666 122 4,80402123 3,135494 73 4,290459 123 4,81218424 3,178054 74 4,304065 124 4,82028225 3,218876 75 4,317488 125 4,82831426 3,258097 76 4,330733 126 4,83628227 3,295837 77 4,343805 127 4,84418728 3,332205 78 4,356709 128 4,8520329 3,367296 79 4,369448 129 4,85981230 3,401197 80 4,382027 130 4,86753431 3,433987 81 4,394449 131 4,87519732 3,465736 82 4,406719 132 4,88280233 3,496508 83 4,418841 133 4,89034934 3,526361 84 4,430817 134 4,8978435 3,555348 85 4,442651 135 4,90527536 3,583519 86 4,454347 136 4,91265537 3,610918 87 4,465908 137 4,91998138 3,637586 88 4,477337 138 4,927254


39 3,663562 89 4,488636 139 4,93447440 3,688879 90 4,49981 140 4,94164241 3,713572 91 4,51086 141 4,9487642 3,73767 92 4,521789 142 4,95582743 3,7612 93 4,532599 143 4,96284544 3,78419 94 4,543295 144 4,96981345 3,806662 95 4,553877 145 4,97673446 3,828641 96 4,564348 146 4,98360747 3,850148 97 4,574711 147 4,99043348 3,871201 98 4,584967 148 4,99721249 3,89182 99 4,59512 149 5,00394650 3,912023 100 4,60517 150 5,010635

Sin0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9

0 0 0,0017 0,0035 0,0052 0,007 0,0087 0,0105 0,0122 0,014 0,0157 0,0175 891 0,0175 0,0192 0,0209 0,0227 0,0244 0,0262 0,0279 0,0297 0,0314 0,0332 0,0349 882 0,0349 0,0366 0,0384 0,0401 0,0419 0,0436 0,0454 0,0471 0,0488 0,0506 0,0523 873 0,0523 0,0541 0,0558 0,0576 0,0593 0,061 0,0628 0,0645 0,0663 0,068 0,0698 864 0,0698 0,0715 0,0732 0,075 0,0767 0,0785 0,0802 0,0819 0,0837 0,0854 0,0872 855 0,0872 0,0889 0,0906 0,0924 0,0941 0,0958 0,0976 0,0993 0,1011 0,1028 0,1045 846 0,1045 0,1063 0,108 0,1097 0,1115 0,1132 0,1149 0,1167 0,1184 0,1201 0,1219 837 0,1219 0,1236 0,1253 0,1271 0,1288 0,1305 0,1323 0,134 0,1357 0,1374 0,1392 828 0,1392 0,1409 0,1426 0,1444 0,1461 0,1478 0,1495 0,1513 0,153 0,1547 0,1564 819 0,1564 0,1582 0,1599 0,1616 0,1633 0,165 0,1668 0,1685 0,1702 0,1719 0,1736 80

10 0,1736 0,1754 0,1771 0,1788 0,1805 0,1822 0,184 0,1857 0,1874 0,1891 0,1908 7911 0,1908 0,1925 0,1942 0,1959 0,1977 0,1994 0,2011 0,2028 0,2045 0,2062 0,2079 7812 0,2079 0,2096 0,2113 0,213 0,2147 0,2164 0,2181 0,2198 0,2215 0,2233 0,225 7713 0,225 0,2267 0,2284 0,23 0,2317 0,2334 0,2351 0,2368 0,2385 0,2402 0,2419 7614 0,2419 0,2436 0,2453 0,247 0,2487 0,2504 0,2521 0,2538 0,2554 0,2571 0,2588 7515 0,2588 0,2605 0,2622 0,2639 0,2656 0,2672 0,2689 0,2706 0,2723 0,274 0,2756 7416 0,2756 0,2773 0,279 0,2807 0,2823 0,284 0,2857 0,2874 0,289 0,2907 0,2924 7317 0,2924 0,294 0,2957 0,2974 0,299 0,3007 0,3024 0,304 0,3057 0,3074 0,309 7218 0,309 0,3107 0,3123 0,314 0,3156 0,3173 0,319 0,3206 0,3223 0,3239 0,3256 7119 0,3256 0,3272 0,3289 0,3305 0,3322 0,3338 0,3355 0,3371 0,3387 0,3404 0,342 7020 0,342 0,3437 0,3453 0,3469 0,3486 0,3502 0,3518 0,3535 0,3551 0,3567 0,3584 6921 0,3584 0,36 0,3616 0,3633 0,3649 0,3665 0,3681 0,3697 0,3714 0,373 0,3746 6822 0,3746 0,3762 0,3778 0,3795 0,3811 0,3827 0,3843 0,3859 0,3875 0,3891 0,3907 6723 0,3907 0,3923 0,3939 0,3955 0,3971 0,3987 0,4003 0,4019 0,4035 0,4051 0,4067 6624 0,4067 0,4083 0,4099 0,4115 0,4131 0,4147 0,4163 0,4179 0,4195 0,421 0,4226 6525 0,4226 0,4242 0,4258 0,4274 0,4289 0,4305 0,4321 0,4337 0,4352 0,4368 0,4384 6426 0,4384 0,4399 0,4415 0,4431 0,4446 0,4462 0,4478 0,4493 0,4509 0,4524 0,454 6327 0,454 0,4555 0,4571 0,4586 0,4602 0,4617 0,4633 0,4648 0,4664 0,4679 0,4695 6228 0,4695 0,471 0,4726 0,4741 0,4756 0,4772 0,4787 0,4802 0,4818 0,4833 0,4848 6129 0,4848 0,4863 0,4879 0,4894 0,4909 0,4924 0,4939 0,4955 0,497 0,4985 0,5 6030 0,5 0,5015 0,503 0,5045 0,506 0,5075 0,509 0,5105 0,512 0,5135 0,515 5931 0,515 0,5165 0,518 0,5195 0,521 0,5225 0,524 0,5255 0,527 0,5284 0,5299 5832 0,5299 0,5314 0,5329 0,5344 0,5358 0,5373 0,5388 0,5402 0,5417 0,5432 0,5446 5733 0,5446 0,5461 0,5476 0,549 0,5505 0,5519 0,5534 0,5548 0,5563 0,5577 0,5592 5634 0,5592 0,5606 0,5621 0,5635 0,565 0,5664 0,5678 0,5693 0,5707 0,5721 0,5736 5535 0,5736 0,575 0,5764 0,5779 0,5793 0,5807 0,5821 0,5835 0,585 0,5864 0,5878 5436 0,5878 0,5892 0,5906 0,592 0,5934 0,5948 0,5962 0,5976 0,599 0,6004 0,6018 5337 0,6018 0,6032 0,6046 0,606 0,6074 0,6088 0,6101 0,6115 0,6129 0,6143 0,6157 5238 0,6157 0,617 0,6184 0,6198 0,6211 0,6225 0,6239 0,6252 0,6266 0,628 0,6293 5139 0,6293 0,6307 0,632 0,6334 0,6347 0,6361 0,6374 0,6388 0,6401 0,6414 0,6428 5040 0,6428 0,6441 0,6455 0,6468 0,6481 0,6494 0,6508 0,6521 0,6534 0,6547 0,6561 49


41 0,6561 0,6574 0,6587 0,66 0,6613 0,6626 0,6639 0,6652 0,6665 0,6678 0,6691 4842 0,6691 0,6704 0,6717 0,673 0,6743 0,6756 0,6769 0,6782 0,6794 0,6807 0,682 4743 0,682 0,6833 0,6845 0,6858 0,6871 0,6884 0,6896 0,6909 0,6921 0,6934 0,6947 4644 0,6947 0,6959 0,6972 0,6984 0,6997 0,7009 0,7022 0,7034 0,7046 0,7059 0,7071 45

0,9 0,8 0,7 0,6 0,5 0,4 0,3 0,2 0,1 0Cos

Sin0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9

45 0,7071 0,7083 0,7096 0,7108 0,712 0,7133 0,7145 0,7157 0,7169 0,7181 0,7193 4446 0,7193 0,7206 0,7218 0,723 0,7242 0,7254 0,7266 0,7278 0,729 0,7302 0,7314 4347 0,7314 0,7325 0,7337 0,7349 0,7361 0,7373 0,7385 0,7396 0,7408 0,742 0,7431 4248 0,7431 0,7443 0,7455 0,7466 0,7478 0,749 0,7501 0,7513 0,7524 0,7536 0,7547 4149 0,7547 0,7559 0,757 0,7581 0,7593 0,7604 0,7615 0,7627 0,7638 0,7649 0,766 4050 0,766 0,7672 0,7683 0,7694 0,7705 0,7716 0,7727 0,7738 0,7749 0,776 0,7771 3951 0,7771 0,7782 0,7793 0,7804 0,7815 0,7826 0,7837 0,7848 0,7859 0,7869 0,788 3852 0,788 0,7891 0,7902 0,7912 0,7923 0,7934 0,7944 0,7955 0,7965 0,7976 0,7986 3753 0,7986 0,7997 0,8007 0,8018 0,8028 0,8039 0,8049 0,8059 0,807 0,808 0,809 3654 0,809 0,81 0,8111 0,8121 0,8131 0,8141 0,8151 0,8161 0,8171 0,8181 0,8192 3555 0,8192 0,8202 0,8211 0,8221 0,8231 0,8241 0,8251 0,8261 0,8271 0,8281 0,829 3456 0,829 0,83 0,831 0,832 0,8329 0,8339 0,8348 0,8358 0,8368 0,8377 0,8387 3357 0,8387 0,8396 0,8406 0,8415 0,8425 0,8434 0,8443 0,8453 0,8462 0,8471 0,848 3258 0,848 0,849 0,8499 0,8508 0,8517 0,8526 0,8536 0,8545 0,8554 0,8563 0,8572 3159 0,8572 0,8581 0,859 0,8599 0,8607 0,8616 0,8625 0,8634 0,8643 0,8652 0,866 3060 0,866 0,8669 0,8678 0,8686 0,8695 0,8704 0,8712 0,8721 0,8729 0,8738 0,8746 2961 0,8746 0,8755 0,8763 0,8771 0,878 0,8788 0,8796 0,8805 0,8813 0,8821 0,8829 2862 0,8829 0,8838 0,8846 0,8854 0,8862 0,887 0,8878 0,8886 0,8894 0,8902 0,891 2763 0,891 0,8918 0,8926 0,8934 0,8942 0,8949 0,8957 0,8965 0,8973 0,898 0,8988 2664 0,8988 0,8996 0,9003 0,9011 0,9018 0,9026 0,9033 0,9041 0,9048 0,9056 0,9063 2565 0,9063 0,907 0,9078 0,9085 0,9092 0,91 0,9107 0,9114 0,9121 0,9128 0,9135 2466 0,9135 0,9143 0,915 0,9157 0,9164 0,9171 0,9178 0,9184 0,9191 0,9198 0,9205 2367 0,9205 0,9212 0,9219 0,9225 0,9232 0,9239 0,9245 0,9252 0,9259 0,9265 0,9272 2268 0,9272 0,9278 0,9285 0,9291 0,9298 0,9304 0,9311 0,9317 0,9323 0,933 0,9336 2169 0,9336 0,9342 0,9348 0,9354 0,9361 0,9367 0,9373 0,9379 0,9385 0,9391 0,9397 2070 0,9397 0,9403 0,9409 0,9415 0,9421 0,9426 0,9432 0,9438 0,9444 0,9449 0,9455 1971 0,9455 0,9461 0,9466 0,9472 0,9478 0,9483 0,9489 0,9494 0,95 0,9505 0,9511 1872 0,9511 0,9516 0,9521 0,9527 0,9532 0,9537 0,9542 0,9548 0,9553 0,9558 0,9563 1773 0,9563 0,9568 0,9573 0,9578 0,9583 0,9588 0,9593 0,9598 0,9603 0,9608 0,9613 1674 0,9613 0,9617 0,9622 0,9627 0,9632 0,9636 0,9641 0,9646 0,965 0,9655 0,9659 1575 0,9659 0,9664 0,9668 0,9673 0,9677 0,9681 0,9686 0,969 0,9694 0,9699 0,9703 1476 0,9703 0,9707 0,9711 0,9715 0,972 0,9724 0,9728 0,9732 0,9736 0,974 0,9744 1377 0,9744 0,9748 0,9751 0,9755 0,9759 0,9763 0,9767 0,977 0,9774 0,9778 0,9781 1278 0,9781 0,9785 0,9789 0,9792 0,9796 0,9799 0,9803 0,9806 0,981 0,9813 0,9816 1179 0,9816 0,982 0,9823 0,9826 0,9829 0,9833 0,9836 0,9839 0,9842 0,9845 0,9848 1080 0,9848 0,9851 0,9854 0,9857 0,986 0,9863 0,9866 0,9869 0,9871 0,9874 0,9877 981 0,9877 0,988 0,9882 0,9885 0,9888 0,989 0,9893 0,9895 0,9898 0,99 0,9903 882 0,9903 0,9905 0,9907 0,991 0,9912 0,9914 0,9917 0,9919 0,9921 0,9923 0,9925 783 0,9925 0,9928 0,993 0,9932 0,9934 0,9936 0,9938 0,994 0,9942 0,9943 0,9945 684 0,9945 0,9947 0,9949 0,9951 0,9952 0,9954 0,9956 0,9957 0,9959 0,996 0,9962 585 0,9962 0,9963 0,9965 0,9966 0,9968 0,9969 0,9971 0,9972 0,9973 0,9974 0,9976 486 0,9976 0,9977 0,9978 0,9979 0,998 0,9981 0,9982 0,9983 0,9984 0,9985 0,9986 387 0,9986 0,9987 0,9988 0,9989 0,999 0,999 0,9991 0,9992 0,9993 0,9993 0,9994 288 0,9994 0,9995 0,9995 0,9996 0,9996 0,9997 0,9997 0,9997 0,9998 0,9998 0,9998 1


89 0,9998 0,9999 0,9999 0,9999 0,9999 1 1 1 1 1 1 00,9 0,8 0,7 0,6 0,5 0,4 0,3 0,2 0,1 0

Cos

Tan0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9

0 0 0,0017 0,0035 0,0052 0,007 0,0087 0,0105 0,0122 0,014 0,0157 0,0175 891 0,0175 0,0192 0,0209 0,0227 0,0244 0,0262 0,0279 0,0297 0,0314 0,0332 0,0349 882 0,0349 0,0367 0,0384 0,0402 0,0419 0,0437 0,0454 0,0472 0,0489 0,0507 0,0524 873 0,0523 0,0541 0,0558 0,0576 0,0593 0,061 0,0628 0,0645 0,0663 0,068 0,0699 864 0,0699 0,0717 0,0734 0,0752 0,0769 0,0787 0,0805 0,0822 0,084 0,0857 0,0875 855 0,0872 0,0889 0,0906 0,0924 0,0941 0,0958 0,0976 0,0993 0,1011 0,1028 0,1051 846 0,1051 0,1069 0,1086 0,1104 0,1122 0,1139 0,1157 0,1175 0,1192 0,121 0,1228 837 0,1219 0,1236 0,1253 0,1271 0,1288 0,1305 0,1323 0,134 0,1357 0,1374 0,1405 828 0,1405 0,1423 0,1441 0,1459 0,1477 0,1495 0,1512 0,153 0,1548 0,1566 0,1584 819 0,1564 0,1582 0,1599 0,1616 0,1633 0,165 0,1668 0,1685 0,1702 0,1719 0,1763 80

10 0,1763 0,1781 0,1799 0,1817 0,1835 0,1853 0,1871 0,189 0,1908 0,1926 0,1944 7911 0,1908 0,1925 0,1942 0,1959 0,1977 0,1994 0,2011 0,2028 0,2045 0,2062 0,2126 7812 0,2126 0,2144 0,2162 0,218 0,2199 0,2217 0,2235 0,2254 0,2272 0,229 0,2309 7713 0,225 0,2267 0,2284 0,23 0,2317 0,2334 0,2351 0,2368 0,2385 0,2402 0,2493 7614 0,2493 0,2512 0,253 0,2549 0,2568 0,2586 0,2605 0,2623 0,2642 0,2661 0,2679 7515 0,2588 0,2605 0,2622 0,2639 0,2656 0,2672 0,2689 0,2706 0,2723 0,274 0,2867 7416 0,2867 0,2886 0,2905 0,2924 0,2943 0,2962 0,2981 0,3 0,3019 0,3038 0,3057 7317 0,2924 0,294 0,2957 0,2974 0,299 0,3007 0,3024 0,304 0,3057 0,3074 0,3249 7218 0,3249 0,3269 0,3288 0,3307 0,3327 0,3346 0,3365 0,3385 0,3404 0,3424 0,3443 7119 0,3256 0,3272 0,3289 0,3305 0,3322 0,3338 0,3355 0,3371 0,3387 0,3404 0,364 7020 0,364 0,3659 0,3679 0,3699 0,3719 0,3739 0,3759 0,3779 0,3799 0,3819 0,3839 6921 0,3584 0,36 0,3616 0,3633 0,3649 0,3665 0,3681 0,3697 0,3714 0,373 0,404 6822 0,404 0,4061 0,4081 0,4101 0,4122 0,4142 0,4163 0,4183 0,4204 0,4224 0,4245 6723 0,3907 0,3923 0,3939 0,3955 0,3971 0,3987 0,4003 0,4019 0,4035 0,4051 0,4452 6624 0,4452 0,4473 0,4494 0,4515 0,4536 0,4557 0,4578 0,4599 0,4621 0,4642 0,4663 6525 0,4226 0,4242 0,4258 0,4274 0,4289 0,4305 0,4321 0,4337 0,4352 0,4368 0,4877 6426 0,4877 0,4899 0,4921 0,4942 0,4964 0,4986 0,5008 0,5029 0,5051 0,5073 0,5095 6327 0,454 0,4555 0,4571 0,4586 0,4602 0,4617 0,4633 0,4648 0,4664 0,4679 0,5317 6228 0,5317 0,534 0,5362 0,5384 0,5407 0,543 0,5452 0,5475 0,5498 0,552 0,5543 6129 0,4848 0,4863 0,4879 0,4894 0,4909 0,4924 0,4939 0,4955 0,497 0,4985 0,5774 6030 0,5774 0,5797 0,582 0,5844 0,5867 0,589 0,5914 0,5938 0,5961 0,5985 0,6009 5931 0,515 0,5165 0,518 0,5195 0,521 0,5225 0,524 0,5255 0,527 0,5284 0,6249 5832 0,6249 0,6273 0,6297 0,6322 0,6346 0,6371 0,6395 0,642 0,6445 0,6469 0,6494 5733 0,5446 0,5461 0,5476 0,549 0,5505 0,5519 0,5534 0,5548 0,5563 0,5577 0,6745 5634 0,6745 0,6771 0,6796 0,6822 0,6847 0,6873 0,6899 0,6924 0,695 0,6976 0,7002 5535 0,5736 0,575 0,5764 0,5779 0,5793 0,5807 0,5821 0,5835 0,585 0,5864 0,7265 5436 0,7265 0,7292 0,7319 0,7346 0,7373 0,74 0,7427 0,7454 0,7481 0,7508 0,7536 5337 0,6018 0,6032 0,6046 0,606 0,6074 0,6088 0,6101 0,6115 0,6129 0,6143 0,7813 5238 0,7813 0,7841 0,7869 0,7898 0,7926 0,7954 0,7983 0,8012 0,804 0,8069 0,8098 5139 0,6293 0,6307 0,632 0,6334 0,6347 0,6361 0,6374 0,6388 0,6401 0,6414 0,8391 5040 0,8391 0,8421 0,8451 0,8481 0,8511 0,8541 0,8571 0,8601 0,8632 0,8662 0,8693 4941 0,6561 0,6574 0,6587 0,66 0,6613 0,6626 0,6639 0,6652 0,6665 0,6678 0,9004 4842 0,9004 0,9036 0,9067 0,9099 0,9131 0,9163 0,9195 0,9228 0,926 0,9293 0,9325 4743 0,682 0,6833 0,6845 0,6858 0,6871 0,6884 0,6896 0,6909 0,6921 0,6934 0,9657 4644 0,9657 0,9691 0,9725 0,9759 0,9793 0,9827 0,9861 0,9896 0,993 0,9965 1 45

0,9 0,8 0,7 0,6 0,5 0,4 0,3 0,2 0,1 0Cot


Tan0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9

45 1 1,0035 1,007 1,0105 1,0141 1,0176 1,0212 1,0247 1,0283 1,0319 1,0355 4446 1,0355 1,0392 1,0428 1,0464 1,0501 1,0538 1,0575 1,0612 1,0649 1,0686 1,0724 4347 1,0724 1,0761 1,0799 1,0837 1,0875 1,0913 1,0951 1,099 1,1028 1,1067 1,1106 4248 1,1106 1,1145 1,1184 1,1224 1,1263 1,1303 1,1343 1,1383 1,1423 1,1463 1,1504 4149 1,1504 1,1544 1,1585 1,1626 1,1667 1,1708 1,175 1,1792 1,1833 1,1875 1,1918 4050 1,1918 1,196 1,2002 1,2045 1,2088 1,2131 1,2174 1,2218 1,2261 1,2305 1,2349 3951 1,2349 1,2393 1,2437 1,2482 1,2527 1,2572 1,2617 1,2662 1,2708 1,2753 1,2799 3852 1,2799 1,2846 1,2892 1,2938 1,2985 1,3032 1,3079 1,3127 1,3175 1,3222 1,327 3753 1,327 1,3319 1,3367 1,3416 1,3465 1,3514 1,3564 1,3613 1,3663 1,3713 1,3764 3654 1,3764 1,3814 1,3865 1,3916 1,3968 1,4019 1,4071 1,4124 1,4176 1,4229 1,4281 3555 1,4281 1,4335 1,4388 1,4442 1,4496 1,455 1,4605 1,4659 1,4715 1,477 1,4826 3456 1,4826 1,4882 1,4938 1,4994 1,5051 1,5108 1,5166 1,5224 1,5282 1,534 1,5399 3357 1,5399 1,5458 1,5517 1,5577 1,5637 1,5697 1,5757 1,5818 1,588 1,5941 1,6003 3258 1,6003 1,6066 1,6128 1,6191 1,6255 1,6319 1,6383 1,6447 1,6512 1,6577 1,6643 3159 1,6643 1,6709 1,6775 1,6842 1,6909 1,6977 1,7045 1,7113 1,7182 1,7251 1,7321 3060 1,7321 1,7391 1,7461 1,7532 1,7603 1,7675 1,7747 1,782 1,7893 1,7966 1,804 2961 1,804 1,8115 1,819 1,8265 1,8341 1,8418 1,8495 1,8572 1,865 1,8728 1,8807 2862 1,8807 1,8887 1,8967 1,9047 1,9128 1,921 1,9292 1,9375 1,9458 1,9542 1,9626 2763 1,9626 1,9711 1,9797 1,9883 1,997 2,0057 2,0145 2,0233 2,0323 2,0413 2,0503 2664 2,0503 2,0594 2,0686 2,0778 2,0872 2,0965 2,106 2,1155 2,1251 2,1348 2,1445 2565 2,1445 2,1543 2,1642 2,1742 2,1842 2,1943 2,2045 2,2148 2,2251 2,2355 2,246 2466 2,246 2,2566 2,2673 2,2781 2,2889 2,2998 2,3109 2,322 2,3332 2,3445 2,3559 2367 2,3559 2,3673 2,3789 2,3906 2,4023 2,4142 2,4262 2,4383 2,4504 2,4627 2,4751 2268 2,4751 2,4876 2,5002 2,5129 2,5257 2,5386 2,5517 2,5649 2,5782 2,5916 2,6051 2169 2,6051 2,6187 2,6325 2,6464 2,6605 2,6746 2,6889 2,7034 2,7179 2,7326 2,7475 2070 2,7475 2,7625 2,7776 2,7929 2,8083 2,8239 2,8397 2,8556 2,8716 2,8878 2,9042 1971 2,9042 2,9208 2,9375 2,9544 2,9714 2,9887 3,0061 3,0237 3,0415 3,0595 3,0777 1872 3,0777 3,0961 3,1146 3,1334 3,1524 3,1716 3,191 3,2106 3,2305 3,2506 3,2709 1773 3,2709 3,2914 3,3122 3,3332 3,3544 3,3759 3,3977 3,4197 3,442 3,4646 3,4874 1674 3,4874 3,5105 3,5339 3,5576 3,5816 3,6059 3,6305 3,6554 3,6806 3,7062 3,7321 1575 3,7321 3,7583 3,7848 3,8118 3,8391 3,8667 3,8947 3,9232 3,952 3,9812 4,0108 1476 4,0108 4,0408 4,0713 4,1022 4,1335 4,1653 4,1976 4,2303 4,2635 4,2972 4,3315 1377 4,3315 4,3662 4,4015 4,4373 4,4737 4,5107 4,5483 4,5864 4,6252 4,6646 4,7046 1278 4,7046 4,7453 4,7867 4,8288 4,8716 4,9152 4,9594 5,0045 5,0504 5,097 5,1446 1179 5,1446 5,1929 5,2422 5,2924 5,3435 5,3955 5,4486 5,5026 5,5578 5,614 5,6713 1080 5,6713 5,7297 5,7894 5,8502 5,9124 5,9758 6,0405 6,1066 6,1742 6,2432 6,3138 981 6,3138 6,3859 6,4596 6,535 6,6122 6,6912 6,772 6,8548 6,9395 7,0264 7,1154 882 7,1154 7,2066 7,3002 7,3962 7,4947 7,5958 7,6996 7,8062 7,9158 8,0285 8,1443 783 8,1443 8,2636 8,3863 8,5126 8,6427 8,7769 8,9152 9,0579 9,2052 9,3572 9,5144 684 9,5144 9,6768 9,8448 10,019 10,199 10,385 10,579 10,78 10,988 11,205 11,43 585 11,43 11,664 11,909 12,163 12,429 12,706 12,996 13,3 13,617 13,951 14,301 486 14,301 14,669 15,056 15,464 15,895 16,35 16,832 17,343 17,886 18,464 19,081 387 19,081 19,74 20,446 21,205 22,022 22,904 23,859 24,898 26,031 27,271 28,636 288 28,636 30,145 31,821 33,694 35,801 38,188 40,917 44,066 47,74 52,081 57,29 189 57,29 63,657 71,615 81,847 95,489 114,59 143,24 190,98 286,48 572,96 - 0

0,9 0,8 0,7 0,6 0,5 0,4 0,3 0,2 0,1 0Cot


Log Sin0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9

0 -2,758 -2,457 -2,281 -2,156 -2,059 -1,98 -1,913 -1,855 -1,804 -1,758 891 -1,758 -1,717 -1,679 -1,644 -1,612 -1,582 -1,554 -1,528 -1,503 -1,479 -1,457 882 -1,457 -1,436 -1,416 -1,397 -1,378 -1,36 -1,343 -1,327 -1,311 -1,296 -1,281 873 -1,281 -1,267 -1,253 -1,24 -1,227 -1,214 -1,202 -1,19 -1,179 -1,167 -1,156 864 -1,156 -1,146 -1,135 -1,125 -1,115 -1,105 -1,096 -1,087 -1,077 -1,068 -1,06 855 -1,06 -1,051 -1,043 -1,034 -1,026 -1,018 -1,011 -1,003 -0,995 -0,988 -0,981 846 -0,981 -0,974 -0,967 -0,96 -0,953 -0,946 -0,94 -0,933 -0,927 -0,92 -0,914 837 -0,914 -0,908 -0,902 -0,896 -0,89 -0,884 -0,879 -0,873 -0,867 -0,862 -0,856 828 -0,856 -0,851 -0,846 -0,841 -0,835 -0,83 -0,825 -0,82 -0,815 -0,81 -0,806 819 -0,806 -0,801 -0,796 -0,792 -0,787 -0,782 -0,778 -0,773 -0,769 -0,765 -0,76 8010 -0,76 -0,756 -0,752 -0,748 -0,743 -0,739 -0,735 -0,731 -0,727 -0,723 -0,719 7911 -0,719 -0,716 -0,712 -0,708 -0,704 -0,7 -0,697 -0,693 -0,689 -0,686 -0,682 7812 -0,682 -0,679 -0,675 -0,672 -0,668 -0,665 -0,661 -0,658 -0,655 -0,651 -0,648 7713 -0,648 -0,645 -0,641 -0,638 -0,635 -0,632 -0,629 -0,626 -0,622 -0,619 -0,616 7614 -0,616 -0,613 -0,61 -0,607 -0,604 -0,601 -0,598 -0,596 -0,593 -0,59 -0,587 7515 -0,587 -0,584 -0,581 -0,579 -0,576 -0,573 -0,57 -0,568 -0,565 -0,562 -0,56 7416 -0,56 -0,557 -0,554 -0,552 -0,549 -0,547 -0,544 -0,542 -0,539 -0,537 -0,534 7317 -0,534 -0,532 -0,529 -0,527 -0,524 -0,522 -0,519 -0,517 -0,515 -0,512 -0,51 7218 -0,51 -0,508 -0,505 -0,503 -0,501 -0,499 -0,496 -0,494 -0,492 -0,49 -0,487 7119 -0,487 -0,485 -0,483 -0,481 -0,479 -0,477 -0,474 -0,472 -0,47 -0,468 -0,466 7020 -0,466 -0,464 -0,462 -0,46 -0,458 -0,456 -0,454 -0,452 -0,45 -0,448 -0,446 6921 -0,446 -0,444 -0,442 -0,44 -0,438 -0,436 -0,434 -0,432 -0,43 -0,428 -0,426 6822 -0,426 -0,425 -0,423 -0,421 -0,419 -0,417 -0,415 -0,414 -0,412 -0,41 -0,408 6723 -0,408 -0,406 -0,405 -0,403 -0,401 -0,399 -0,398 -0,396 -0,394 -0,392 -0,391 6624 -0,391 -0,389 -0,387 -0,386 -0,384 -0,382 -0,381 -0,379 -0,377 -0,376 -0,374 6525 -0,374 -0,372 -0,371 -0,369 -0,368 -0,366 -0,364 -0,363 -0,361 -0,36 -0,358 6426 -0,358 -0,357 -0,355 -0,354 -0,352 -0,35 -0,349 -0,347 -0,346 -0,344 -0,343 6327 -0,343 -0,341 -0,34 -0,339 -0,337 -0,336 -0,334 -0,333 -0,331 -0,33 -0,328 6228 -0,328 -0,327 -0,326 -0,324 -0,323 -0,321 -0,32 -0,319 -0,317 -0,316 -0,314 6129 -0,314 -0,313 -0,312 -0,31 -0,309 -0,308 -0,306 -0,305 -0,304 -0,302 -0,301 6030 -0,301 -0,3 -0,298 -0,297 -0,296 -0,295 -0,293 -0,292 -0,291 -0,289 -0,288 5931 -0,288 -0,287 -0,286 -0,284 -0,283 -0,282 -0,281 -0,279 -0,278 -0,277 -0,276 5832 -0,276 -0,275 -0,273 -0,272 -0,271 -0,27 -0,269 -0,267 -0,266 -0,265 -0,264 5733 -0,264 -0,263 -0,262 -0,26 -0,259 -0,258 -0,257 -0,256 -0,255 -0,254 -0,252 5634 -0,252 -0,251 -0,25 -0,249 -0,248 -0,247 -0,246 -0,245 -0,244 -0,242 -0,241 5535 -0,241 -0,24 -0,239 -0,238 -0,237 -0,236 -0,235 -0,234 -0,233 -0,232 -0,231 5436 -0,231 -0,23 -0,229 -0,228 -0,227 -0,226 -0,225 -0,224 -0,223 -0,222 -0,221 5337 -0,221 -0,22 -0,219 -0,218 -0,217 -0,216 -0,215 -0,214 -0,213 -0,212 -0,211 5238 -0,211 -0,21 -0,209 -0,208 -0,207 -0,206 -0,205 -0,204 -0,203 -0,202 -0,201 5139 -0,201 -0,2 -0,199 -0,198 -0,197 -0,196 -0,196 -0,195 -0,194 -0,193 -0,192 5040 -0,192 -0,191 -0,19 -0,189 -0,188 -0,187 -0,187 -0,186 -0,185 -0,184 -0,183 4941 -0,183 -0,182 -0,181 -0,18 -0,18 -0,179 -0,178 -0,177 -0,176 -0,175 -0,174 4842 -0,174 -0,174 -0,173 -0,172 -0,171 -0,17 -0,169 -0,169 -0,168 -0,167 -0,166 4743 -0,166 -0,165 -0,165 -0,164 -0,163 -0,162 -0,161 -0,161 -0,16 -0,159 -0,158 4644 -0,158 -0,157 -0,157 -0,156 -0,155 -0,154 -0,154 -0,153 -0,152 -0,151 -0,151 45

0,9 0,8 0,7 0,6 0,5 0,4 0,3 0,2 0,1 0Log Cos


Log Sin0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9

45 -0,151 -0,15 -0,149 -0,148 -0,148 -0,147 -0,146 -0,145 -0,145 -0,144 -0,143 4446 -0,143 -0,142 -0,142 -0,141 -0,14 -0,139 -0,139 -0,138 -0,137 -0,137 -0,136 4347 -0,136 -0,135 -0,134 -0,134 -0,133 -0,132 -0,132 -0,131 -0,13 -0,13 -0,129 4248 -0,129 -0,128 -0,128 -0,127 -0,126 -0,126 -0,125 -0,124 -0,124 -0,123 -0,122 4149 -0,122 -0,122 -0,121 -0,12 -0,12 -0,119 -0,118 -0,118 -0,117 -0,116 -0,116 4050 -0,116 -0,115 -0,114 -0,114 -0,113 -0,113 -0,112 -0,111 -0,111 -0,11 -0,109 3951 -0,109 -0,109 -0,108 -0,108 -0,107 -0,106 -0,106 -0,105 -0,105 -0,104 -0,103 3852 -0,103 -0,103 -0,102 -0,102 -0,101 -0,101 -0,1 -0,099 -0,099 -0,098 -0,098 3753 -0,098 -0,097 -0,097 -0,096 -0,095 -0,095 -0,094 -0,094 -0,093 -0,093 -0,092 3654 -0,092 -0,091 -0,091 -0,09 -0,09 -0,089 -0,089 -0,088 -0,088 -0,087 -0,087 3555 -0,087 -0,086 -0,086 -0,085 -0,085 -0,084 -0,083 -0,083 -0,082 -0,082 -0,081 3456 -0,081 -0,081 -0,08 -0,08 -0,079 -0,079 -0,078 -0,078 -0,077 -0,077 -0,076 3357 -0,076 -0,076 -0,075 -0,075 -0,074 -0,074 -0,073 -0,073 -0,073 -0,072 -0,072 3258 -0,072 -0,071 -0,071 -0,07 -0,07 -0,069 -0,069 -0,068 -0,068 -0,067 -0,067 3159 -0,067 -0,066 -0,066 -0,066 -0,065 -0,065 -0,064 -0,064 -0,063 -0,063 -0,062 3060 -0,062 -0,062 -0,062 -0,061 -0,061 -0,06 -0,06 -0,059 -0,059 -0,059 -0,058 2961 -0,058 -0,058 -0,057 -0,057 -0,057 -0,056 -0,056 -0,055 -0,055 -0,054 -0,054 2862 -0,054 -0,054 -0,053 -0,053 -0,052 -0,052 -0,052 -0,051 -0,051 -0,051 -0,05 2763 -0,05 -0,05 -0,049 -0,049 -0,049 -0,048 -0,048 -0,047 -0,047 -0,047 -0,046 2664 -0,046 -0,046 -0,046 -0,045 -0,045 -0,045 -0,044 -0,044 -0,043 -0,043 -0,043 2565 -0,043 -0,042 -0,042 -0,042 -0,041 -0,041 -0,041 -0,04 -0,04 -0,04 -0,039 2466 -0,039 -0,039 -0,039 -0,038 -0,038 -0,038 -0,037 -0,037 -0,037 -0,036 -0,036 2367 -0,036 -0,036 -0,035 -0,035 -0,035 -0,034 -0,034 -0,034 -0,033 -0,033 -0,033 2268 -0,033 -0,033 -0,032 -0,032 -0,032 -0,031 -0,031 -0,031 -0,03 -0,03 -0,03 2169 -0,03 -0,03 -0,029 -0,029 -0,029 -0,028 -0,028 -0,028 -0,028 -0,027 -0,027 2070 -0,027 -0,027 -0,026 -0,026 -0,026 -0,026 -0,025 -0,025 -0,025 -0,025 -0,024 1971 -0,024 -0,024 -0,024 -0,024 -0,023 -0,023 -0,023 -0,023 -0,022 -0,022 -0,022 1872 -0,022 -0,022 -0,021 -0,021 -0,021 -0,021 -0,02 -0,02 -0,02 -0,02 -0,019 1773 -0,019 -0,019 -0,019 -0,019 -0,018 -0,018 -0,018 -0,018 -0,018 -0,017 -0,017 1674 -0,017 -0,017 -0,017 -0,017 -0,016 -0,016 -0,016 -0,016 -0,015 -0,015 -0,015 1575 -0,015 -0,015 -0,015 -0,014 -0,014 -0,014 -0,014 -0,014 -0,013 -0,013 -0,013 1476 -0,013 -0,013 -0,013 -0,013 -0,012 -0,012 -0,012 -0,012 -0,012 -0,011 -0,011 1377 -0,011 -0,011 -0,011 -0,011 -0,011 -0,01 -0,01 -0,01 -0,01 -0,01 -0,01 1278 -0,01 -0,009 -0,009 -0,009 -0,009 -0,009 -0,009 -0,009 -0,008 -0,008 -0,008 1179 -0,008 -0,008 -0,008 -0,008 -0,007 -0,007 -0,007 -0,007 -0,007 -0,007 -0,007 1080 -0,007 -0,007 -0,006 -0,006 -0,006 -0,006 -0,006 -0,006 -0,006 -0,006 -0,005 981 -0,005 -0,005 -0,005 -0,005 -0,005 -0,005 -0,005 -0,005 -0,004 -0,004 -0,004 882 -0,004 -0,004 -0,004 -0,004 -0,004 -0,004 -0,004 -0,004 -0,003 -0,003 -0,003 783 -0,003 -0,003 -0,003 -0,003 -0,003 -0,003 -0,003 -0,003 -0,003 -0,002 -0,002 684 -0,002 -0,002 -0,002 -0,002 -0,002 -0,002 -0,002 -0,002 -0,002 -0,002 -0,002 585 -0,002 -0,002 -0,002 -0,001 -0,001 -0,001 -0,001 -0,001 -0,001 -0,001 -0,001 486 -0,001 -0,001 -1E-03 -9E-04 -9E-04 -8E-04 -8E-04 -7E-04 -7E-04 -6E-04 -6E-04 387 -6E-04 -6E-04 -5E-04 -5E-04 -4E-04 -4E-04 -4E-04 -4E-04 -3E-04 -3E-04 -3E-04 288 -3E-04 -2E-04 -2E-04 -2E-04 -2E-04 -1E-04 -1E-04 -1E-04 -1E-04 -8E-05 -7E-05 189 -7E-05 -5E-05 -4E-05 -3E-05 -2E-05 -2E-05 -1E-05 -6E-06 -3E-06 -7E-07 0 0

0,9 0,8 0,7 0,6 0,5 0,4 0,3 0,2 0,1 0Log Cos


Log Tan0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9

0 -2,758 -2,457 -2,281 -2,156 -2,059 -1,98 -1,913 -1,855 -1,804 -1,758 891 -1,758 -1,717 -1,679 -1,644 -1,612 -1,582 -1,554 -1,528 -1,503 -1,479 -1,457 882 -1,457 -1,436 -1,415 -1,396 -1,378 -1,36 -1,343 -1,326 -1,311 -1,295 -1,281 873 -1,281 -1,266 -1,253 -1,239 -1,226 -1,214 -1,201 -1,189 -1,178 -1,166 -1,155 864 -1,155 -1,145 -1,134 -1,124 -1,114 -1,104 -1,094 -1,085 -1,076 -1,067 -1,058 855 -1,058 -1,049 -1,041 -1,033 -1,024 -1,016 -1,009 -1,001 -0,993 -0,986 -0,978 846 -0,978 -0,971 -0,964 -0,957 -0,95 -0,943 -0,937 -0,93 -0,924 -0,917 -0,911 837 -0,911 -0,905 -0,898 -0,892 -0,886 -0,881 -0,875 -0,869 -0,863 -0,858 -0,852 828 -0,852 -0,847 -0,841 -0,836 -0,831 -0,826 -0,82 -0,815 -0,81 -0,805 -0,8 819 -0,8 -0,795 -0,791 -0,786 -0,781 -0,776 -0,772 -0,767 -0,763 -0,758 -0,754 8010 -0,754 -0,749 -0,745 -0,741 -0,736 -0,732 -0,728 -0,724 -0,72 -0,715 -0,711 7911 -0,711 -0,707 -0,703 -0,699 -0,695 -0,692 -0,688 -0,684 -0,68 -0,676 -0,673 7812 -0,673 -0,669 -0,665 -0,661 -0,658 -0,654 -0,651 -0,647 -0,644 -0,64 -0,637 7713 -0,637 -0,633 -0,63 -0,626 -0,623 -0,62 -0,616 -0,613 -0,61 -0,606 -0,603 7614 -0,603 -0,6 -0,597 -0,594 -0,59 -0,587 -0,584 -0,581 -0,578 -0,575 -0,572 7515 -0,572 -0,569 -0,566 -0,563 -0,56 -0,557 -0,554 -0,551 -0,548 -0,545 -0,543 7416 -0,543 -0,54 -0,537 -0,534 -0,531 -0,528 -0,526 -0,523 -0,52 -0,517 -0,515 7317 -0,515 -0,512 -0,509 -0,507 -0,504 -0,501 -0,499 -0,496 -0,493 -0,491 -0,488 7218 -0,488 -0,486 -0,483 -0,481 -0,478 -0,475 -0,473 -0,47 -0,468 -0,465 -0,463 7119 -0,463 -0,461 -0,458 -0,456 -0,453 -0,451 -0,448 -0,446 -0,444 -0,441 -0,439 7020 -0,439 -0,437 -0,434 -0,432 -0,43 -0,427 -0,425 -0,423 -0,42 -0,418 -0,416 6921 -0,416 -0,414 -0,411 -0,409 -0,407 -0,405 -0,402 -0,4 -0,398 -0,396 -0,394 6822 -0,394 -0,391 -0,389 -0,387 -0,385 -0,383 -0,381 -0,379 -0,376 -0,374 -0,372 6723 -0,372 -0,37 -0,368 -0,366 -0,364 -0,362 -0,36 -0,358 -0,356 -0,353 -0,351 6624 -0,351 -0,349 -0,347 -0,345 -0,343 -0,341 -0,339 -0,337 -0,335 -0,333 -0,331 6525 -0,331 -0,329 -0,327 -0,325 -0,323 -0,322 -0,32 -0,318 -0,316 -0,314 -0,312 6426 -0,312 -0,31 -0,308 -0,306 -0,304 -0,302 -0,3 -0,298 -0,297 -0,295 -0,293 6327 -0,293 -0,291 -0,289 -0,287 -0,285 -0,284 -0,282 -0,28 -0,278 -0,276 -0,274 6228 -0,274 -0,272 -0,271 -0,269 -0,267 -0,265 -0,263 -0,262 -0,26 -0,258 -0,256 6129 -0,256 -0,254 -0,253 -0,251 -0,249 -0,247 -0,246 -0,244 -0,242 -0,24 -0,239 6030 -0,239 -0,237 -0,235 -0,233 -0,232 -0,23 -0,228 -0,226 -0,225 -0,223 -0,221 5931 -0,221 -0,22 -0,218 -0,216 -0,214 -0,213 -0,211 -0,209 -0,208 -0,206 -0,204 5832 -0,204 -0,203 -0,201 -0,199 -0,197 -0,196 -0,194 -0,192 -0,191 -0,189 -0,187 5733 -0,187 -0,186 -0,184 -0,183 -0,181 -0,179 -0,178 -0,176 -0,174 -0,173 -0,171 5634 -0,171 -0,169 -0,168 -0,166 -0,164 -0,163 -0,161 -0,16 -0,158 -0,156 -0,155 5535 -0,155 -0,153 -0,152 -0,15 -0,148 -0,147 -0,145 -0,144 -0,142 -0,14 -0,139 5436 -0,139 -0,137 -0,136 -0,134 -0,132 -0,131 -0,129 -0,128 -0,126 -0,124 -0,123 5337 -0,123 -0,121 -0,12 -0,118 -0,117 -0,115 -0,113 -0,112 -0,11 -0,109 -0,107 5238 -0,107 -0,106 -0,104 -0,103 -0,101 -0,099 -0,098 -0,096 -0,095 -0,093 -0,092 5139 -0,092 -0,09 -0,089 -0,087 -0,085 -0,084 -0,082 -0,081 -0,079 -0,078 -0,076 5040 -0,076 -0,075 -0,073 -0,072 -0,07 -0,069 -0,067 -0,065 -0,064 -0,062 -0,061 4941 -0,061 -0,059 -0,058 -0,056 -0,055 -0,053 -0,052 -0,05 -0,049 -0,047 -0,046 4842 -0,046 -0,044 -0,043 -0,041 -0,039 -0,038 -0,036 -0,035 -0,033 -0,032 -0,03 4743 -0,03 -0,029 -0,027 -0,026 -0,024 -0,023 -0,021 -0,02 -0,018 -0,017 -0,015 4644 -0,015 -0,014 -0,012 -0,011 -0,009 -0,008 -0,006 -0,005 -0,003 -0,002 0 45

0,9 0,8 0,7 0,6 0,5 0,4 0,3 0,2 0,1 0Log Cot


Log Tan0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9

45 -5E-17 0,0015 0,003 0,0045 0,0061 0,0076 0,0091 0,0106 0,0121 0,0136 0,0152 4446 0,0152 0,0167 0,0182 0,0197 0,0212 0,0228 0,0243 0,0258 0,0273 0,0288 0,0303 4347 0,0303 0,0319 0,0334 0,0349 0,0364 0,0379 0,0395 0,041 0,0425 0,044 0,0456 4248 0,0456 0,0471 0,0486 0,0501 0,0517 0,0532 0,0547 0,0562 0,0578 0,0593 0,0608 4149 0,0608 0,0624 0,0639 0,0654 0,067 0,0685 0,07 0,0716 0,0731 0,0746 0,0762 4050 0,0762 0,0777 0,0793 0,0808 0,0824 0,0839 0,0854 0,087 0,0885 0,0901 0,0916 3951 0,0916 0,0932 0,0947 0,0963 0,0978 0,0994 0,101 0,1025 0,1041 0,1056 0,1072 3852 0,1072 0,1088 0,1103 0,1119 0,1135 0,115 0,1166 0,1182 0,1197 0,1213 0,1229 3753 0,1229 0,1245 0,126 0,1276 0,1292 0,1308 0,1324 0,134 0,1356 0,1371 0,1387 3654 0,1387 0,1403 0,1419 0,1435 0,1451 0,1467 0,1483 0,1499 0,1516 0,1532 0,1548 3555 0,1548 0,1564 0,158 0,1596 0,1612 0,1629 0,1645 0,1661 0,1677 0,1694 0,171 3456 0,171 0,1726 0,1743 0,1759 0,1776 0,1792 0,1809 0,1825 0,1842 0,1858 0,1875 3357 0,1875 0,1891 0,1908 0,1925 0,1941 0,1958 0,1975 0,1992 0,2008 0,2025 0,2042 3258 0,2042 0,2059 0,2076 0,2093 0,211 0,2127 0,2144 0,2161 0,2178 0,2195 0,2212 3159 0,2212 0,2229 0,2247 0,2264 0,2281 0,2299 0,2316 0,2333 0,2351 0,2368 0,2386 3060 0,2386 0,2403 0,2421 0,2438 0,2456 0,2474 0,2491 0,2509 0,2527 0,2545 0,2562 2961 0,2562 0,258 0,2598 0,2616 0,2634 0,2652 0,267 0,2689 0,2707 0,2725 0,2743 2862 0,2743 0,2762 0,278 0,2798 0,2817 0,2835 0,2854 0,2872 0,2891 0,291 0,2928 2763 0,2928 0,2947 0,2966 0,2985 0,3004 0,3023 0,3042 0,3061 0,308 0,3099 0,3118 2664 0,3118 0,3137 0,3157 0,3176 0,3196 0,3215 0,3235 0,3254 0,3274 0,3294 0,3313 2565 0,3313 0,3333 0,3353 0,3373 0,3393 0,3413 0,3433 0,3453 0,3473 0,3494 0,3514 2466 0,3514 0,3535 0,3555 0,3576 0,3596 0,3617 0,3638 0,3659 0,3679 0,37 0,3721 2367 0,3721 0,3743 0,3764 0,3785 0,3806 0,3828 0,3849 0,3871 0,3892 0,3914 0,3936 2268 0,3936 0,3958 0,398 0,4002 0,4024 0,4046 0,4068 0,4091 0,4113 0,4136 0,4158 2169 0,4158 0,4181 0,4204 0,4227 0,425 0,4273 0,4296 0,4319 0,4342 0,4366 0,4389 2070 0,4389 0,4413 0,4437 0,4461 0,4484 0,4509 0,4533 0,4557 0,4581 0,4606 0,463 1971 0,463 0,4655 0,468 0,4705 0,473 0,4755 0,478 0,4805 0,4831 0,4857 0,4882 1872 0,4882 0,4908 0,4934 0,496 0,4986 0,5013 0,5039 0,5066 0,5093 0,512 0,5147 1773 0,5147 0,5174 0,5201 0,5229 0,5256 0,5284 0,5312 0,534 0,5368 0,5397 0,5425 1674 0,5425 0,5454 0,5483 0,5512 0,5541 0,557 0,56 0,5629 0,5659 0,5689 0,5719 1575 0,5719 0,575 0,578 0,5811 0,5842 0,5873 0,5905 0,5936 0,5968 0,6 0,6032 1476 0,6032 0,6065 0,6097 0,613 0,6163 0,6196 0,623 0,6264 0,6298 0,6332 0,6366 1377 0,6366 0,6401 0,6436 0,6471 0,6507 0,6542 0,6578 0,6615 0,6651 0,6688 0,6725 1278 0,6725 0,6763 0,68 0,6838 0,6877 0,6915 0,6954 0,6994 0,7033 0,7073 0,7113 1179 0,7113 0,7154 0,7195 0,7236 0,7278 0,732 0,7363 0,7406 0,7449 0,7493 0,7537 1080 0,7537 0,7581 0,7626 0,7672 0,7718 0,7764 0,7811 0,7858 0,7906 0,7954 0,8003 981 0,8003 0,8052 0,8102 0,8152 0,8203 0,8255 0,8307 0,836 0,8413 0,8467 0,8522 882 0,8522 0,8577 0,8633 0,869 0,8748 0,8806 0,8865 0,8924 0,8985 0,9046 0,9109 783 0,9109 0,9172 0,9236 0,9301 0,9367 0,9433 0,9501 0,957 0,964 0,9711 0,9784 684 0,9784 0,9857 0,9932 1,0008 1,0085 1,0164 1,0244 1,0326 1,0409 1,0494 1,058 585 1,058 1,0669 1,0759 1,085 1,0944 1,104 1,1138 1,1238 1,1341 1,1446 1,1554 486 1,1554 1,1664 1,1777 1,1893 1,2012 1,2135 1,2261 1,2391 1,2525 1,2663 1,2806 387 1,2806 1,2954 1,3106 1,3264 1,3429 1,3599 1,3777 1,3962 1,4155 1,4357 1,4569 288 1,4569 1,4792 1,5027 1,5275 1,5539 1,5819 1,6119 1,6441 1,6789 1,7167 1,7581 189 1,7581 1,8038 1,855 1,913 1,98 2,0591 2,1561 2,281 2,4571 2,7581 0

0,9 0,8 0,7 0,6 0,5 0,4 0,3 0,2 0,1 0Log Cot


BEBERAPA NILAI e-λ (e = 2,7183)

λ 0 1 2 3 4 5 6 7 8 90,0 1 0,99 0,9802 0,9704 0,9608 0,9512 0,9418 0,9324 0,9231 0,91390,1 0,9048 0,8958 0,8869 0,8781 0,8694 0,8607 0,8521 0,8437 0,8353 0,8270,2 0,8187 0,8106 0,8025 0,7945 0,7866 0,7788 0,7711 0,7634 0,7558 0,74830,3 0,7408 0,7334 0,7261 0,7189 0,7118 0,7047 0,6977 0,6907 0,6839 0,67710,4 0,6703 0,6637 0,657 0,6505 0,644 0,6376 0,6313 0,625 0,6188 0,61260,5 0,6065 0,6005 0,5945 0,5886 0,5827 0,5769 0,5712 0,5655 0,5599 0,55430,6 0,5488 0,5434 0,5379 0,5326 0,5273 0,522 0,5169 0,5117 0,5066 0,50160,7 0,4966 0,4916 0,4868 0,4819 0,4771 0,4724 0,4677 0,463 0,4584 0,45380,8 0,4493 0,4449 0,4404 0,436 0,4317 0,4274 0,4232 0,419 0,4148 0,41070,9 0,4066 0,4025 0,3985 0,3946 0,3906 0,3867 0,3829 0,3791 0,3753 0,37161,0 0,3679 0,3642 0,3606 0,357 0,3535 0,3499 0,3465 0,343 0,3396 0,33621,1 0,3329 0,3296 0,3263 0,323 0,3198 0,3166 0,3135 0,3104 0,3073 0,30421,2 0,3012 0,2982 0,2952 0,2923 0,2894 0,2865 0,2837 0,2808 0,278 0,27531,3 0,2725 0,2698 0,2671 0,2645 0,2618 0,2592 0,2567 0,2541 0,2516 0,24911,4 0,2466 0,2441 0,2417 0,2393 0,2369 0,2346 0,2322 0,2299 0,2276 0,22541,5 0,2231 0,2209 0,2187 0,2165 0,2144 0,2122 0,2101 0,208 0,206 0,20391,6 0,2019 0,1999 0,1979 0,1959 0,194 0,192 0,1901 0,1882 0,1864 0,18451,7 0,1827 0,1809 0,1791 0,1773 0,1755 0,1738 0,172 0,1703 0,1686 0,1671,8 0,1653 0,1637 0,162 0,1604 0,1588 0,1572 0,1557 0,1541 0,1526 0,15111,9 0,1496 0,1481 0,1466 0,1451 0,1437 0,1423 0,1409 0,1395 0,1381 0,13672,0 0,1353 0,134 0,1327 0,1313 0,13 0,1287 0,1275 0,1262 0,1249 0,12372,1 0,1225 0,1212 0,12 0,1188 0,1177 0,1165 0,1153 0,1142 0,113 0,11192,2 0,1108 0,1097 0,1086 0,1075 0,1065 0,1054 0,1044 0,1033 0,1023 0,10132,3 0,1003 0,0993 0,0983 0,0973 0,0963 0,0954 0,0944 0,0935 0,0926 0,09162,4 0,0907 0,0898 0,0889 0,088 0,0872 0,0863 0,0854 0,0846 0,0837 0,08292,5 0,0821 0,0813 0,0805 0,0797 0,0789 0,0781 0,0773 0,0765 0,0758 0,0752,6 0,0743 0,0735 0,0728 0,0721 0,0714 0,0707 0,0699 0,0693 0,0686 0,06792,7 0,0672 0,0665 0,0659 0,0652 0,0646 0,0639 0,0633 0,0627 0,062 0,06142,8 0,0608 0,0602 0,0596 0,059 0,0584 0,0578 0,0573 0,0567 0,0561 0,05562,9 0,055 0,0545 0,0539 0,0534 0,0529 0,0523 0,0518 0,0513 0,0508 0,05033,0 0,0498 0,0493 0,0488 0,0483 0,0478 0,0474 0,0469 0,0464 0,046 0,04553,1 0,045 0,0446 0,0442 0,0437 0,0433 0,0429 0,0424 0,042 0,0416 0,04123,2 0,0408 0,0404 0,04 0,0396 0,0392 0,0388 0,0384 0,038 0,0376 0,03733,3 0,0369 0,0365 0,0362 0,0358 0,0354 0,0351 0,0347 0,0344 0,034 0,03373,4 0,0334 0,033 0,0327 0,0324 0,0321 0,0317 0,0314 0,0311 0,0308 0,03053,5 0,0302 0,0299 0,0296 0,0293 0,029 0,0287 0,0284 0,0282 0,0279 0,02763,6 0,0273 0,0271 0,0268 0,0265 0,0263 0,026 0,0257 0,0255 0,0252 0,0253,7 0,0247 0,0245 0,0242 0,024 0,0238 0,0235 0,0233 0,0231 0,0228 0,02263,8 0,0224 0,0221 0,0219 0,0217 0,0215 0,0213 0,0211 0,0209 0,0207 0,02043,9 0,0202 0,02 0,0198 0,0196 0,0194 0,0193 0,0191 0,0189 0,0187 0,01854,0 0,0183 0,0181 0,018 0,0178 0,0176 0,0174 0,0172 0,0171 0,0169 0,01674,1 0,0166 0,0164 0,0162 0,0161 0,0159 0,0158 0,0156 0,0155 0,0153 0,01514,2 0,015 0,0148 0,0147 0,0146 0,0144 0,0143 0,0141 0,014 0,0138 0,01374,3 0,0136 0,0134 0,0133 0,0132 0,013 0,0129 0,0128 0,0127 0,0125 0,01244,4 0,0123 0,0122 0,012 0,0119 0,0118 0,0117 0,0116 0,0114 0,0113 0,01124,5 0,0111 0,011 0,0109 0,0108 0,0107 0,0106 0,0105 0,0104 0,0103 0,01024,6 0,0101 0,01 0,0099 0,0098 0,0097 0,0096 0,0095 0,0094 0,0093 0,00924,7 0,0091 0,009 0,0089 0,0088 0,0087 0,0087 0,0086 0,0085 0,0084 0,00834,8 0,0082 0,0081 0,0081 0,008 0,0079 0,0078 0,0078 0,0077 0,0076 0,00754,9 0,0074 0,0074 0,0073 0,0072 0,0072 0,0071 0,007 0,0069 0,0069 0,0068


5,0 0,0067 0,0067 0,0066 0,0065 0,0065 0,0064 0,0063 0,0063 0,0062 0,0062

FAKTORIAL

N N ! N N ! N N !1 1 51 1,5511E+66 101 9,426E+1592 2 52 8,0658E+67 102 9,614E+1613 6 53 4,2749E+69 103 9,903E+1634 24 54 2,3084E+71 104 1,03E+1665 120 55 1,2696E+73 105 1,081E+1686 720 56 7,11E+74 106 1,146E+1707 5040 57 4,0527E+76 107 1,227E+1728 40320 58 2,3506E+78 108 1,325E+1749 362880 59 1,3868E+80 109 1,444E+176

10 3628800 60 8,321E+81 110 1,588E+17811 39916800 61 5,0758E+83 111 1,763E+18012 479001600 62 3,147E+85 112 1,975E+18213 6227020800 63 1,9826E+87 113 2,231E+18414 8,7178E+10 64 1,2689E+89 114 2,544E+18615 1,3077E+12 65 8,2477E+90 115 2,925E+18816 2,0923E+13 66 5,4434E+92 116 3,393E+19017 3,5569E+14 67 3,6471E+94 117 3,97E+19218 6,4024E+15 68 2,48E+96 118 4,685E+19419 1,2165E+17 69 1,7112E+98 119 5,575E+19620 2,4329E+18 70 1,198E+100 120 6,69E+19821 5,1091E+19 71 8,505E+101 121 8,094E+20022 1,124E+21 72 6,123E+103 122 9,875E+20223 2,5852E+22 73 4,47E+105 123 1,215E+20524 6,2045E+23 74 3,308E+107 124 1,506E+20725 1,5511E+25 75 2,481E+109 125 1,883E+20926 4,0329E+26 76 1,885E+111 126 2,372E+21127 1,0889E+28 77 1,452E+113 127 3,013E+21328 3,0489E+29 78 1,132E+115 128 3,856E+21529 8,8418E+30 79 8,946E+116 129 4,975E+21730 2,6525E+32 80 7,157E+118 130 6,467E+21931 8,2228E+33 81 5,797E+120 131 8,472E+22132 2,6313E+35 82 4,754E+122 132 1,118E+22433 8,6833E+36 83 3,946E+124 133 1,487E+22634 2,9523E+38 84 3,314E+126 134 1,993E+22835 1,0333E+40 85 2,817E+128 135 2,69E+23036 3,7199E+41 86 2,423E+130 136 3,659E+23237 1,3764E+43 87 2,108E+132 137 5,013E+23438 5,2302E+44 88 1,855E+134 138 6,918E+23639 2,0398E+46 89 1,651E+136 139 9,616E+23840 8,1592E+47 90 1,486E+138 140 1,346E+24141 3,3453E+49 91 1,352E+140 141 1,898E+24342 1,405E+51 92 1,244E+142 142 2,695E+24543 6,0415E+52 93 1,157E+144 143 3,854E+24744 2,6583E+54 94 1,087E+146 144 5,55E+24945 1,1962E+56 95 1,033E+148 145 8,048E+25146 5,5026E+57 96 9,917E+149 146 1,175E+25447 2,5862E+59 97 9,619E+151 147 1,727E+25648 1,2414E+61 98 9,427E+153 148 2,556E+25849 6,0828E+62 99 9,333E+155 149 3,809E+260


50 3,0414E+64 100 9,333E+157 150 5,713E+262

KONVERSI DERAJAT KE RADIAN

DERAJAT RADIAN DERAJAT RADIAN DERAJAT RADIAN DERAJAT RADIAN1 0,01745 51 0,89012 101 1,76278 151 2,635452 0,03491 52 0,90757 102 1,78024 152 2,65293 0,05236 53 0,92502 103 1,79769 153 2,670354 0,06981 54 0,94248 104 1,81514 154 2,687815 0,08727 55 0,95993 105 1,8326 155 2,705266 0,10472 56 0,97738 106 1,85005 156 2,722717 0,12217 57 0,99484 107 1,8675 157 2,740178 0,13963 58 1,01229 108 1,88496 158 2,757629 0,15708 59 1,02974 109 1,90241 159 2,77507

10 0,17453 60 1,0472 110 1,91986 160 2,7925311 0,19199 61 1,06465 111 1,93732 161 2,8099812 0,20944 62 1,0821 112 1,95477 162 2,8274313 0,22689 63 1,09956 113 1,97222 163 2,8448914 0,24435 64 1,11701 114 1,98968 164 2,8623415 0,2618 65 1,13446 115 2,00713 165 2,8797916 0,27925 66 1,15192 116 2,02458 166 2,8972517 0,29671 67 1,16937 117 2,04204 167 2,914718 0,31416 68 1,18682 118 2,05949 168 2,9321519 0,33161 69 1,20428 119 2,07694 169 2,9496120 0,34907 70 1,22173 120 2,0944 170 2,9670621 0,36652 71 1,23918 121 2,11185 171 2,9845122 0,38397 72 1,25664 122 2,1293 172 3,0019723 0,40143 73 1,27409 123 2,14675 173 3,0194224 0,41888 74 1,29154 124 2,16421 174 3,0368725 0,43633 75 1,309 125 2,18166 175 3,0543326 0,45379 76 1,32645 126 2,19911 176 3,0717827 0,47124 77 1,3439 127 2,21657 177 3,0892328 0,48869 78 1,36136 128 2,23402 178 3,1066929 0,50615 79 1,37881 129 2,25147 179 3,1241430 0,5236 80 1,39626 130 2,26893 180 3,1415931 0,54105 81 1,41372 131 2,2863832 0,55851 82 1,43117 132 2,3038333 0,57596 83 1,44862 133 2,3212934 0,59341 84 1,46608 134 2,3387435 0,61087 85 1,48353 135 2,3561936 0,62832 86 1,50098 136 2,3736537 0,64577 87 1,51844 137 2,391138 0,66323 88 1,53589 138 2,4085539 0,68068 89 1,55334 139 2,4260140 0,69813 90 1,5708 140 2,4434641 0,71558 91 1,58825 141 2,4609142 0,73304 92 1,6057 142 2,4783743 0,75049 93 1,62316 143 2,4958244 0,76794 94 1,64061 144 2,5132745 0,7854 95 1,65806 145 2,5307346 0,80285 96 1,67552 146 2,5481847 0,8203 97 1,69297 147 2,5656348 0,83776 98 1,71042 148 2,5830949 0,85521 99 1,72788 149 2,6005450 0,87266 100 1,74533 150 2,61799

KONVERSI RADIAN KE DERAJAT


RADIAN DERAJAT RADIAN DERAJAT RADIAN DERAJAT1 57,29578 51 2922,0848 101 5786,87372 114,59156 52 2979,3805 102 5844,16953 171,88734 53 3036,6763 103 5901,46534 229,18312 54 3093,9721 104 5958,76115 286,4789 55 3151,2679 105 6016,05686 343,77468 56 3208,5637 106 6073,35267 401,07046 57 3265,8594 107 6130,64848 458,36624 58 3323,1552 108 6187,94429 515,66202 59 3380,451 109 6245,2410 572,9578 60 3437,7468 110 6302,535711 630,25357 61 3495,0426 111 6359,831512 687,54935 62 3552,3383 112 6417,127313 744,84513 63 3609,6341 113 6474,423114 802,14091 64 3666,9299 114 6531,718915 859,43669 65 3724,2257 115 6589,014616 916,73247 66 3781,5214 116 6646,310417 974,02825 67 3838,8172 117 6703,606218 1031,324 68 3896,113 118 6760,90219 1088,6198 69 3953,4088 119 6818,197820 1145,9156 70 4010,7046 120 6875,493521 1203,2114 71 4068,0003 121 6932,789322 1260,5071 72 4125,2961 122 6990,085123 1317,8029 73 4182,5919 123 7047,380924 1375,0987 74 4239,8877 124 7104,676725 1432,3945 75 4297,1835 125 7161,972426 1489,6903 76 4354,4792 126 7219,268227 1546,986 77 4411,775 127 7276,56428 1604,2818 78 4469,0708 128 7333,859829 1661,5776 79 4526,3666 129 7391,155630 1718,8734 80 4583,6624 130 7448,451331 1776,1692 81 4640,9581 131 7505,747132 1833,4649 82 4698,2539 132 7563,042933 1890,7607 83 4755,5497 133 7620,338734 1948,0565 84 4812,8455 134 7677,634535 2005,3523 85 4870,1413 135 7734,930236 2062,6481 86 4927,437 136 7792,22637 2119,9438 87 4984,7328 137 7849,521838 2177,2396 88 5042,0286 138 7906,817639 2234,5354 89 5099,3244 139 7964,113440 2291,8312 90 5156,6202 140 8021,409141 2349,127 91 5213,9159 141 8078,704942 2406,4227 92 5271,2117 142 8136,000743 2463,7185 93 5328,5075 143 8193,296544 2521,0143 94 5385,8033 144 8250,592245 2578,3101 95 5443,0991 145 8307,88846 2635,6059 96 5500,3948 146 8365,183847 2692,9016 97 5557,6906 147 8422,479648 2750,1974 98 5614,9864 148 8479,775449 2807,4932 99 5672,2822 149 8537,071150 2864,789 100 5729,578 150 8594,3669

KUADRAT, PANGKAT TIGA, KEBALIKAN, KELILING LINGKARAN DAN LUAS LINGKARAN

N N2 N3 √N 1/N 2πN πN2

1 1 1 1 1 6,28 3,142 4 8 1,41421356 0,5 12,56 12,56


3 9 27 1,73205081 0,33333333 18,84 28,264 16 64 2 0,25 25,12 50,245 25 125 2,23606798 0,2 31,4 78,56 36 216 2,44948974 0,16666667 37,68 113,047 49 343 2,64575131 0,14285714 43,96 153,868 64 512 2,82842712 0,125 50,24 200,969 81 729 3 0,11111111 56,52 254,34

10 100 1000 3,16227766 0,1 62,8 31411 121 1331 3,31662479 0,09090909 69,08 379,9412 144 1728 3,46410162 0,08333333 75,36 452,1613 169 2197 3,60555128 0,07692308 81,64 530,6614 196 2744 3,74165739 0,07142857 87,92 615,4415 225 3375 3,87298335 0,06666667 94,2 706,516 256 4096 4 0,0625 100,48 803,8417 289 4913 4,12310563 0,05882353 106,76 907,46

18 324 5832 4,24264069 0,05555556 113,041017,3

6

19 361 6859 4,35889894 0,05263158 119,32 1133,54

20 400 8000 4,47213595 0,05 125,6 1256

21 441 9261 4,58257569 0,04761905 131,881384,7

4

22 484 10648 4,69041576 0,04545455 138,16 1519,76

23 529 12167 4,79583152 0,04347826 144,441661,0

6

24 576 13824 4,89897949 0,04166667 150,72 1808,64

25 625 15625 5 0,04 157 1962,5

26 676 17576 5,09901951 0,03846154 163,282122,6

4

27 729 19683 5,19615242 0,03703704 169,56 2289,06

28 784 21952 5,29150262 0,03571429 175,842461,7

6

29 841 24389 5,38516481 0,03448276 182,12 2640,74

30 900 27000 5,47722558 0,03333333 188,4 2826

31 961 29791 5,56776436 0,03225806 194,683017,5

4

32 1024 32768 5,65685425 0,03125 200,96 3215,36

33 1089 35937 5,74456265 0,03030303 207,243419,4

6

34 1156 39304 5,83095189 0,02941176 213,52 3629,84

35 1225 42875 5,91607978 0,02857143 219,8 3846,5

36 1296 46656 6 0,02777778 226,084069,4

4

37 1369 50653 6,08276253 0,02702703 232,36 4298,66

38 1444 54872 6,164414 0,02631579 238,644534,1

6

39 1521 59319 6,244998 0,02564103 244,92 4775,94

40 1600 64000 6,32455532 0,025 251,2 5024

41 1681 68921 6,40312424 0,02439024 257,485278,3

442 1764 74088 6,4807407 0,02380952 263,76 5538,9


6

43 1849 79507 6,55743852 0,02325581 270,045805,8

6

44 1936 85184 6,63324958 0,02272727 276,32 6079,04

45 2025 91125 6,70820393 0,02222222 282,6 6358,5

46 2116 97336 6,78232998 0,02173913 288,886644,2

4

47 2209 103823 6,8556546 0,0212766 295,16 6936,26

48 2304 110592 6,92820323 0,02083333 301,447234,5

6

49 2401 117649 7 0,02040816 307,72 7539,14

50 2500 125000 7,07106781 0,02 314 7850


51 2601 132651 7,14142843 0,01960784 320,28 8167,1452 2704 140608 7,21110255 0,01923077 326,56 8490,5653 2809 148877 7,28010989 0,01886792 332,84 8820,2654 2916 157464 7,34846923 0,01851852 339,12 9156,2455 3025 166375 7,41619849 0,01818182 345,4 9498,556 3136 175616 7,48331477 0,01785714 351,68 9847,0457 3249 185193 7,54983444 0,01754386 357,96 10201,8658 3364 195112 7,61577311 0,01724138 364,24 10562,9659 3481 205379 7,68114575 0,01694915 370,52 10930,3460 3600 216000 7,74596669 0,01666667 376,8 1130461 3721 226981 7,81024968 0,01639344 383,08 11683,9462 3844 238328 7,87400787 0,01612903 389,36 12070,1663 3969 250047 7,93725393 0,01587302 395,64 12462,6664 4096 262144 8 0,015625 401,92 12861,4465 4225 274625 8,06225775 0,01538462 408,2 13266,566 4356 287496 8,1240384 0,01515152 414,48 13677,8467 4489 300763 8,18535277 0,01492537 420,76 14095,4668 4624 314432 8,24621125 0,01470588 427,04 14519,3669 4761 328509 8,30662386 0,01449275 433,32 14949,5470 4900 343000 8,36660027 0,01428571 439,6 1538671 5041 357911 8,42614977 0,01408451 445,88 15828,7472 5184 373248 8,48528137 0,01388889 452,16 16277,7673 5329 389017 8,54400375 0,01369863 458,44 16733,0674 5476 405224 8,60232527 0,01351351 464,72 17194,6475 5625 421875 8,66025404 0,01333333 471 17662,576 5776 438976 8,71779789 0,01315789 477,28 18136,6477 5929 456533 8,77496439 0,01298701 483,56 18617,0678 6084 474552 8,83176087 0,01282051 489,84 19103,7679 6241 493039 8,88819442 0,01265823 496,12 19596,7480 6400 512000 8,94427191 0,0125 502,4 2009681 6561 531441 9 0,01234568 508,68 20601,5482 6724 551368 9,05538514 0,01219512 514,96 21113,3683 6889 571787 9,11043358 0,01204819 521,24 21631,4684 7056 592704 9,16515139 0,01190476 527,52 22155,8485 7225 614125 9,21954446 0,01176471 533,8 22686,586 7396 636056 9,2736185 0,01162791 540,08 23223,4487 7569 658503 9,32737905 0,01149425 546,36 23766,6688 7744 681472 9,38083152 0,01136364 552,64 24316,1689 7921 704969 9,43398113 0,01123596 558,92 24871,9490 8100 729000 9,48683298 0,01111111 565,2 25434


91 8281 753571 9,53939201 0,01098901 571,48 26002,3492 8464 778688 9,59166305 0,01086957 577,76 26576,9693 8649 804357 9,64365076 0,01075269 584,04 27157,8694 8836 830584 9,69535971 0,0106383 590,32 27745,0495 9025 857375 9,74679434 0,01052632 596,6 28338,596 9216 884736 9,79795897 0,01041667 602,88 28938,2497 9409 912673 9,8488578 0,01030928 609,16 29544,2698 9604 941192 9,89949494 0,01020408 615,44 30156,5699 9801 970299 9,94987437 0,01010101 621,72 30775,14100 10000 1000000 10 0,01 628 31400


101 10201 1030301 10,0498756 0,00990099 634,28 32031,14102 10404 1061208 10,0995049 0,00980392 640,56 32668,56103 10609 1092727 10,1488916 0,00970874 646,84 33312,26104 10816 1124864 10,198039 0,00961538 653,12 33962,24105 11025 1157625 10,2469508 0,00952381 659,4 34618,5106 11236 1191016 10,2956301 0,00943396 665,68 35281,04107 11449 1225043 10,3440804 0,00934579 671,96 35949,86108 11664 1259712 10,3923048 0,00925926 678,24 36624,96109 11881 1295029 10,4403065 0,00917431 684,52 37306,34110 12100 1331000 10,4880885 0,00909091 690,8 37994111 12321 1367631 10,5356538 0,00900901 697,08 38687,94112 12544 1404928 10,5830052 0,00892857 703,36 39388,16113 12769 1442897 10,6301458 0,00884956 709,64 40094,66114 12996 1481544 10,6770783 0,00877193 715,92 40807,44115 13225 1520875 10,7238053 0,00869565 722,2 41526,5116 13456 1560896 10,7703296 0,00862069 728,48 42251,84117 13689 1601613 10,8166538 0,00854701 734,76 42983,46118 13924 1643032 10,8627805 0,00847458 741,04 43721,36119 14161 1685159 10,9087121 0,00840336 747,32 44465,54120 14400 1728000 10,9544512 0,00833333 753,6 45216121 14641 1771561 11 0,00826446 759,88 45972,74122 14884 1815848 11,045361 0,00819672 766,16 46735,76123 15129 1860867 11,0905365 0,00813008 772,44 47505,06124 15376 1906624 11,1355287 0,00806452 778,72 48280,64125 15625 1953125 11,1803399 0,008 785 49062,5126 15876 2000376 11,2249722 0,00793651 791,28 49850,64127 16129 2048383 11,2694277 0,00787402 797,56 50645,06128 16384 2097152 11,3137085 0,0078125 803,84 51445,76129 16641 2146689 11,3578167 0,00775194 810,12 52252,74130 16900 2197000 11,4017543 0,00769231 816,4 53066131 17161 2248091 11,4455231 0,00763359 822,68 53885,54132 17424 2299968 11,4891253 0,00757576 828,96 54711,36133 17689 2352637 11,5325626 0,0075188 835,24 55543,46134 17956 2406104 11,5758369 0,00746269 841,52 56381,84135 18225 2460375 11,61895 0,00740741 847,8 57226,5136 18496 2515456 11,6619038 0,00735294 854,08 58077,44137 18769 2571353 11,7046999 0,00729927 860,36 58934,66138 19044 2628072 11,7473401 0,00724638 866,64 59798,16139 19321 2685619 11,7898261 0,00719424 872,92 60667,94140 19600 2744000 11,8321596 0,00714286 879,2 61544141 19881 2803221 11,8743421 0,0070922 885,48 62426,34142 20164 2863288 11,9163753 0,00704225 891,76 63314,96143 20449 2924207 11,9582607 0,00699301 898,04 64209,86144 20736 2985984 12 0,00694444 904,32 65111,04


145 21025 3048625 12,0415946 0,00689655 910,6 66018,5146 21316 3112136 12,083046 0,00684932 916,88 66932,24147 21609 3176523 12,1243557 0,00680272 923,16 67852,26148 21904 3241792 12,1655251 0,00675676 929,44 68778,56149 22201 3307949 12,2065556 0,00671141 935,72 69711,14150 22500 3375000 12,2474487 0,00666667 942 70650151 22801 12,2882057 0,00662252 948,28 71595,14152 23104 12,328828 0,00657895 954,56 72546,56153 23409 12,3693169 0,00653595 960,84 73504,26154 23716 12,4096736 0,00649351 967,12 74468,24155 24025 12,4498996 0,00645161 973,4 75438,5156 24336 12,489996 0,00641026 979,68 76415,04157 24649 12,5299641 0,00636943 985,96 77397,86158 24964 12,5698051 0,00632911 992,24 78386,96159 25281 12,6095202 0,00628931 998,52 79382,34160 25600 12,6491106 0,00625 1004,8 80384161 25921 12,6885775 0,00621118 1011,08 81391,94162 26244 12,7279221 0,00617284 1017,36 82406,16163 26569 12,7671453 0,00613497 1023,64 83426,66164 26896 12,8062485 0,00609756 1029,92 84453,44165 27225 12,8452326 0,00606061 1036,2 85486,5166 27556 12,8840987 0,0060241 1042,48 86525,84167 27889 12,922848 0,00598802 1048,76 87571,46168 28224 12,9614814 0,00595238 1055,04 88623,36169 28561 13 0,00591716 1061,32 89681,54170 28900 13,0384048 0,00588235 1067,6 90746171 29241 13,0766968 0,00584795 1073,88 91816,74172 29584 13,114877 0,00581395 1080,16 92893,76173 29929 13,1529464 0,00578035 1086,44 93977,06174 30276 13,190906 0,00574713 1092,72 95066,64175 30625 13,2287566 0,00571429 1099 96162,5176 30976 13,2664992 0,00568182 1105,28 97264,64177 31329 13,3041347 0,00564972 1111,56 98373,06178 31684 13,3416641 0,00561798 1117,84 99487,76179 32041 13,3790882 0,00558659 1124,12 100608,74180 32400 13,4164079 0,00555556 1130,4 101736181 32761 13,453624 0,00552486 1136,68 102869,54182 33124 13,4907376 0,00549451 1142,96 104009,36183 33489 13,5277493 0,00546448 1149,24 105155,46184 33856 13,56466 0,00543478 1155,52 106307,84185 34225 13,6014705 0,00540541 1161,8 107466,5186 34596 13,6381817 0,00537634 1168,08 108631,44187 34969 13,6747943 0,00534759 1174,36 109802,66188 35344 13,7113092 0,00531915 1180,64 110980,16189 35721 13,7477271 0,00529101 1186,92 112163,94190 36100 13,7840488 0,00526316 1193,2 113354191 36481 13,820275 0,0052356 1199,48 114550,34192 36864 13,8564065 0,00520833 1205,76 115752,96193 37249 13,892444 0,00518135 1212,04 116961,86194 37636 13,9283883 0,00515464 1218,32 118177,04195 38025 13,96424 0,00512821 1224,6 119398,5196 38416 14 0,00510204 1230,88 120626,24197 38809 14,0356688 0,00507614 1237,16 121860,26198 39204 14,0712473 0,00505051 1243,44 123100,56199 39601 14,106736 0,00502513 1249,72 124347,14200 40000 14,1421356 0,005 1256 125600


I. Daftar Untuk (1,015)n ; (1,02)n ; (1,025)n ; (1,03)n ; (1,035)n ; (1,04)n ; (1,045)n ; (1,05)n ; (1,055)n ; (1,06)n

n 1,50% 2% 2,50% 3% 3,50% 4,00% 4.5% 5,00% 5.5% 6,00%1 1,015 1,02 1,025 1,03 1,035 1,04 1,045 1,05 1,055 1,062 1,0302 1,0404 1,0506 1,0609 1,0712 1,0816 1,092 1,1025 1,113 1,12363 1,0457 1,0612 1,0769 1,0927 1,1087 1,1249 1,1412 1,1576 1,1742 1,1914 1,0614 1,0824 1,1038 1,1255 1,1475 1,1699 1,1925 1,2155 1,2388 1,26255 1,0773 1,1041 1,1314 1,1593 1,1877 1,2167 1,2462 1,2763 1,307 1,33826 1,0934 1,1262 1,1597 1,1941 1,2293 1,2653 1,3023 1,3401 1,3788 1,41857 1,1098 1,1487 1,1887 1,2299 1,2723 1,3159 1,3609 1,4071 1,4547 1,50368 1,1265 1,1717 1,2184 1,2668 1,3168 1,3686 1,4221 1,4775 1,5347 1,59389 1,1434 1,1951 1,2489 1,3048 1,3629 1,4233 1,4861 1,5513 1,6191 1,6895

10 1,1605 1,219 1,2801 1,3439 1,4106 1,4802 1,553 1,6289 1,7081 1,790811 1,1779 1,2434 1,3121 1,3842 1,46 1,5395 1,6229 1,7103 1,8021 1,898312 1,1956 1,2682 1,3449 1,4258 1,5111 1,601 1,6959 1,7959 1,9012 2,012213 1,2136 1,2936 1,3785 1,4685 1,564 1,6651 1,7722 1,8856 2,0058 2,132914 1,2318 1,3195 1,413 1,5126 1,6187 1,7317 1,8519 1,9799 2,1161 2,260915 1,2502 1,3459 1,4483 1,558 1,6753 1,8009 1,9353 2,0789 2,2325 2,396616 1,269 1,3728 1,4845 1,6047 1,734 1,873 2,0224 2,1829 2,3553 2,540417 1,288 1,4002 1,5216 1,6528 1,7947 1,9479 2,1134 2,292 2,4848 2,692818 1,3073 1,4282 1,5597 1,7024 1,8575 2,0258 2,2085 2,4066 2,6215 2,854319 1,327 1,4568 1,5987 1,7535 1,9225 2,1068 2,3079 2,527 2,7656 3,025620 1,3469 1,4859 1,6386 1,8061 1,9898 2,1911 2,4117 2,6533 2,9178 3,207121 1,3671 1,5157 1,6796 1,8603 2,0594 2,2788 2,5202 2,786 3,0782 3,399622 1,3876 1,546 1,7216 1,9161 2,1315 2,3699 2,6337 2,9253 3,2475 3,603523 1,4084 1,5769 1,7646 1,9736 2,2061 2,4647 2,7522 3,0715 3,4262 3,819724 1,4295 1,6084 1,8087 2,0328 2,2833 2,5633 2,876 3,2251 3,6146 4,048925 1,4509 1,6406 1,8539 2,0938 2,3632 2,6658 3,0054 3,3864 3,8134 4,291926 1,4727 1,6734 1,9003 2,1566 2,446 2,7725 3,1407 3,5557 4,0231 4,549427 1,4948 1,7069 1,9478 2,2213 2,5316 2,8834 3,282 3,7335 4,2444 4,822328 1,5172 1,741 1,9965 2,2879 2,6202 2,9987 3,4297 3,9201 4,4778 5,111729 1,54 1,7758 2,0464 2,3566 2,7119 3,1187 3,584 4,1161 4,7241 5,418430 1,5631 1,8114 2,0976 2,4273 2,8068 3,2434 3,7453 4,3219 4,984 5,743531 1,5865 1,8476 2,15 2,5001 2,905 3,3731 3,9139 4,538 5,2581 6,088132 1,6103 1,8845 2,2038 2,5751 3,0067 3,5081 4,09 4,7649 5,5473 6,453433 1,6345 1,9222 2,2589 2,6523 3,1119 3,6484 4,274 5,0032 5,8524 6,840634 1,659 1,9607 2,3153 2,7319 3,2209 3,7943 4,4664 5,2533 6,1742 7,25135 1,6839 1,9999 2,3732 2,8139 3,3336 3,9461 4,6673 5,516 6,5138 7,686136 1,7091 2,0399 2,4325 2,8983 3,4503 4,1039 4,8774 5,7918 6,8721 8,147337 1,7348 2,0807 2,4933 2,9852 3,571 4,2681 5,0969 6,0814 7,2501 8,636138 1,7608 2,1223 2,5557 3,0748 3,696 4,4388 5,3262 6,3855 7,6488 9,154339 1,7872 2,1647 2,6196 3,167 3,8254 4,6164 5,5659 6,7048 8,0695 9,703540 1,814 2,208 2,6851 3,262 3,9593 4,801 5,8164 7,04 8,5133 10,28641 1,8412 2,2522 2,7522 3,3599 4,0978 4,9931 6,0781 7,392 8,9815 10,90342 1,8688 2,2972 2,821 3,4607 4,2413 5,1928 6,3516 7,7616 9,4755 11,55743 1,8969 2,3432 2,8915 3,5645 4,3897 5,4005 6,6374 8,1497 9,9967 12,2544 1,9253 2,3901 2,9638 3,6715 4,5433 5,6165 6,9361 8,5572 10,546 12,98545 1,9542 2,4379 3,0379 3,7816 4,7024 5,8412 7,2482 8,985 11,127 13,76546 1,9835 2,4866 3,1139 3,895 4,8669 6,0748 7,5744 9,4343 11,739 14,5947 2,0133 2,5363 3,1917 4,0119 5,0373 6,3178 7,9153 9,906 12,384 15,466


48 2,0435 2,5871 3,2715 4,1323 5,2136 6,5705 8,2715 10,401 13,065 16,39449 2,0741 2,6388 3,3533 4,2562 5,3961 6,8333 8,6437 10,921 13,784 17,37850 2,1052 2,6916 3,4371 4,3839 5,5849 7,1067 9,0326 11,467 14,542 18,42

II. Daftar Untuk (1,015)-n ; (1,02)-n ; (1,025)-n ; (1,03)-n ; (1,035)-n ; (1,04)-n ; (1,045)-n ; (1,05)-n ; (1,055)-n ; (1,06)-n

n 1,50% 2% 2,50% 3% 3,50% 4,00% 4.5% 5,00% 5.5% 6,00%1 0,9852 0,9804 0,9756 0,9709 0,9662 0,9615 0,9569 0,9524 0,9479 0,94342 0,9707 0,9612 0,9518 0,9426 0,9335 0,9246 0,9157 0,907 0,8985 0,893 0,9563 0,9423 0,9286 0,9151 0,9019 0,889 0,8763 0,8638 0,8516 0,83964 0,9422 0,9238 0,906 0,8885 0,8714 0,8548 0,8386 0,8227 0,8072 0,79215 0,9283 0,9057 0,8839 0,8626 0,842 0,8219 0,8025 0,7835 0,7651 0,74736 0,9145 0,888 0,8623 0,8375 0,8135 0,7903 0,7679 0,7462 0,7252 0,7057 0,901 0,8706 0,8413 0,8131 0,786 0,7599 0,7348 0,7107 0,6874 0,66518 0,8877 0,8535 0,8207 0,7894 0,7594 0,7307 0,7032 0,6768 0,6516 0,62749 0,8746 0,8368 0,8007 0,7664 0,7337 0,7026 0,6729 0,6446 0,6176 0,5919

10 0,8617 0,8203 0,7812 0,7441 0,7089 0,6756 0,6439 0,6139 0,5854 0,558411 0,8489 0,8043 0,7621 0,7224 0,6849 0,6496 0,6162 0,5847 0,5549 0,526812 0,8364 0,7885 0,7436 0,7014 0,6618 0,6246 0,5897 0,5568 0,526 0,49713 0,824 0,773 0,7254 0,681 0,6394 0,6006 0,5643 0,5303 0,4986 0,468814 0,8118 0,7579 0,7077 0,6611 0,6178 0,5775 0,54 0,5051 0,4726 0,442315 0,7999 0,743 0,6905 0,6419 0,5969 0,5553 0,5167 0,481 0,4479 0,417316 0,788 0,7284 0,6736 0,6232 0,5767 0,5339 0,4945 0,4581 0,4246 0,393617 0,7764 0,7142 0,6572 0,605 0,5572 0,5134 0,4732 0,4363 0,4024 0,371418 0,7649 0,7002 0,6412 0,5874 0,5384 0,4936 0,4528 0,4155 0,3815 0,350319 0,7536 0,6864 0,6255 0,5703 0,5202 0,4746 0,4333 0,3957 0,3616 0,330520 0,7425 0,673 0,6103 0,5537 0,5026 0,4564 0,4146 0,3769 0,3427 0,311821 0,7315 0,6598 0,5954 0,5375 0,4856 0,4388 0,3968 0,3589 0,3249 0,294222 0,7207 0,6468 0,5809 0,5219 0,4692 0,422 0,3797 0,3418 0,3079 0,277523 0,71 0,6342 0,5667 0,5067 0,4533 0,4057 0,3634 0,3256 0,2919 0,261824 0,6995 0,6217 0,5529 0,4919 0,438 0,3901 0,3477 0,3101 0,2767 0,24725 0,6892 0,6095 0,5394 0,4776 0,4231 0,3751 0,3327 0,2953 0,2622 0,23326 0,679 0,5976 0,5262 0,4637 0,4088 0,3607 0,3184 0,2812 0,2486 0,219827 0,669 0,5859 0,5134 0,4502 0,395 0,3468 0,3047 0,2678 0,2356 0,207428 0,6591 0,5744 0,5009 0,4371 0,3817 0,3335 0,2916 0,2551 0,2233 0,195629 0,6494 0,5631 0,4887 0,4243 0,3687 0,3207 0,279 0,2429 0,2117 0,184630 0,6398 0,5521 0,4767 0,412 0,3563 0,3083 0,267 0,2314 0,2006 0,174131 0,6303 0,5412 0,4651 0,4 0,3442 0,2965 0,2555 0,2204 0,1902 0,164332 0,621 0,5306 0,4538 0,3883 0,3326 0,2851 0,2445 0,2099 0,1803 0,15533 0,6118 0,5202 0,4427 0,377 0,3213 0,2741 0,234 0,1999 0,1709 0,146234 0,6028 0,51 0,4319 0,366 0,3105 0,2636 0,2239 0,1904 0,162 0,137935 0,5939 0,5 0,4214 0,3554 0,3 0,2534 0,2143 0,1813 0,1535 0,130136 0,5851 0,4902 0,4111 0,345 0,2898 0,2437 0,205 0,1727 0,1455 0,122737 0,5764 0,4806 0,4011 0,335 0,28 0,2343 0,1962 0,1644 0,1379 0,115838 0,5679 0,4712 0,3913 0,3252 0,2706 0,2253 0,1878 0,1566 0,1307 0,109239 0,5595 0,4619 0,3817 0,3158 0,2614 0,2166 0,1797 0,1491 0,1239 0,103140 0,5513 0,4529 0,3724 0,3066 0,2526 0,2083 0,1719 0,142 0,1175 0,097241 0,5431 0,444 0,3633 0,2976 0,244 0,2003 0,1645 0,1353 0,1113 0,091742 0,5351 0,4353 0,3545 0,289 0,2358 0,1926 0,1574 0,1288 0,1055 0,086543 0,5272 0,4268 0,3458 0,2805 0,2278 0,1852 0,1507 0,1227 0,1 0,081644 0,5194 0,4184 0,3374 0,2724 0,2201 0,178 0,1442 0,1169 0,0948 0,07745 0,5117 0,4102 0,3292 0,2644 0,2127 0,1712 0,138 0,1113 0,0899 0,072746 0,5042 0,4022 0,3211 0,2567 0,2055 0,1646 0,132 0,106 0,0852 0,068547 0,4967 0,3943 0,3133 0,2493 0,19m85 0,1583 0,1263 0,1009 0,0807 0,0647


48 0,4894 0,3865 0,3057 0,242 0,1918 0,1522 0,1209 0,0961 0,0765 0,06149 0,4821 0,379 0,2982 0,235 0,1853 0,1463 0,1157 0,0916 0,0725 0,057550 0,475 0,3715 0,2909 0,2281 0,1791 0,1407 0,1107 0,0872 0,0688 0,0543

III. Daftar Untuk ∑(1,015)n ; ∑ (1,02)n ; ∑(1,025)n ; ∑(1,03)n ; ∑ (1,035)n ; ∑ (1,04)n ; ∑ (1,045)n ; ∑ (1,05)n ; ∑ (1,055)n ; ∑ (1,06)n

n 1,50% 2% 2,50% 3% 3,50% 4,00% 4.5% 5,00% 5.5% 6,00%1 1,015 1,02 1,025 1,03 1,035 1,04 1,045 1,05 1,055 1,062 2,0452 2,0604 2,0756 2,0909 2,1062 2,1216 2,137 2,1525 2,168 2,18363 3,0909 3,1216 3,1525 3,1836 3,2149 3,2465 3,2782 3,3101 3,3423 3,37464 4,1523 4,204 4,2563 4,3091 4,3625 4,4163 4,4707 4,5256 4,5811 4,63715 5,2296 5,3081 5,3877 5,4684 5,5502 5,633 5,7169 5,8019 5,8881 5,97536 6,323 6,4343 6,5474 6,6625 6,7794 6,8983 7,0192 7,142 7,2669 7,39387 7,4328 7,583 7,7361 7,8923 8,0517 8,2142 8,38 8,5491 8,7216 8,89758 8,5593 8,7546 8,9545 9,1591 9,3685 9,5828 9,8021 10,027 10,256 10,4919 9,7027 9,9497 10,203 10,464 10,731 11,006 11,288 11,578 11,875 12,181

10 10,863 11,169 11,483 11,808 12,142 12,486 12,841 13,207 13,583 13,97211 12,041 12,412 12,796 13,192 13,602 14,026 14,464 14,917 15,386 15,8712 13,237 13,68 14,14 14,618 15,113 15,627 16,16 16,713 17,287 17,88213 14,45 14,974 15,519 16,086 16,677 17,292 17,932 18,599 19,293 20,01514 15,682 16,293 16,932 17,599 18,296 19,024 19,784 20,579 21,409 22,27615 16,932 17,639 18,38 19,157 19,971 20,825 21,719 22,657 23,641 24,67316 18,201 19,012 19,865 20,762 21,705 22,698 23,742 24,84 25,996 27,21317 19,489 20,412 21,386 22,414 23,5 24,645 25,855 27,132 28,481 29,90618 20,797 21,841 22,946 24,117 25,357 26,671 28,064 29,539 31,103 32,7619 22,124 23,297 24,545 25,87 27,28 28,778 30,371 32,066 33,868 35,78620 23,471 24,783 26,183 27,676 29,269 30,969 32,783 34,719 36,786 38,99321 24,838 26,299 27,863 29,537 31,329 33,248 35,303 37,505 39,864 42,39222 26,225 27,845 29,584 31,453 33,46 35,618 37,937 40,43 43,112 45,99623 27,634 29,422 31,349 33,426 35,667 38,083 40,689 43,502 46,538 49,81624 29,063 31,03 33,158 35,459 37,95 40,646 43,565 46,727 50,153 53,86525 30,514 32,671 35,012 37,553 40,313 43,312 46,571 50,113 53,966 58,15626 31,987 34,344 36,912 39,71 42,759 46,084 49,711 53,669 57,989 62,70627 33,481 36,051 38,86 41,931 45,291 48,968 52,993 57,403 62,234 67,52828 34,999 37,792 40,856 44,219 47,911 51,966 56,423 61,323 66,711 72,6429 36,539 39,568 42,903 46,575 50,623 55,085 60,007 65,439 71,435 78,05830 38,102 41,379 45 49,003 53,429 58,328 63,752 69,761 76,419 83,80231 39,688 43,227 47,15 51,503 56,335 61,701 67,666 74,299 81,677 89,8932 41,299 45,112 49,354 54,078 59,341 65,21 71,756 79,064 87,225 96,34333 42,933 47,034 51,613 56,73 62,453 68,858 76,03 84,067 93,077 103,1834 44,592 48,994 53,928 59,462 65,674 72,652 80,497 89,32 99,251 110,4335 46,276 50,994 56,301 62,276 69,008 76,598 85,164 94,836 105,77 118,1236 47,985 53,034 58,734 65,174 72,458 80,702 90,041 100,63 112,64 126,2737 49,72 55,115 61,227 68,159 76,029 84,97 95,138 106,71 119,89 134,938 51,481 57,237 63,783 71,234 79,725 89,409 100,46 113,1 127,54 144,0639 53,268 59,402 66,403 74,401 83,55 94,026 106,03 119,8 135,61 153,7640 55,082 61,61 69,088 77,663 87,51 98,827 111,85 126,84 144,12 164,0541 56,923 63,862 71,84 81,023 91,607 103,82 117,92 134,23 153,1 174,9542 58,792 66,159 74,661 84,484 95,849 109,01 124,28 141,99 162,58 186,5143 60,689 68,503 77,552 88,048 100,24 114,41 130,91 150,14 172,57 198,7644 62,614 70,893 80,516 91,72 104,78 120,03 137,85 158,7 183,12 211,7445 64,568 73,331 83,554 95,501 109,48 125,87 145,1 167,69 194,25 225,51


46 66,552 75,817 86,668 99,397 114,35 131,95 152,67 177,12 205,98 240,147 68,565 78,354 89,86 103,41 119,39 138,26 160,59 187,03 218,37 255,5648 70,609 80,941 93,131 107,54 124,6 144,83 168,86 197,43 231,43 271,9649 72,683 83,579 96,484 111,8 130 151,67 177,5 208,35 245,22 289,3450 74,788 86,271 99,921 116,18 135,58 158,77 186,54 219,82 259,76 307,76

IV. Daftar Untuk ∑(1,015)-n ; ∑(1,02)-n ; ∑(1,025)-n ; ∑(1,03)-n ; ∑(1,035)-n ; ∑(1,04)-n ; ∑(1,045)-n ; ∑(1,05)-n ; ∑(1,055)-n ; ∑(1,06)-n

n 1,50% 2% 2,50% 3% 3,50% 4,00% 4.5% 5,00% 5.5% 6,00%1 0,9852 0,9804 0,9756 0,9709 0,9662 0,9615 0,9569 0,9524 0,9479 0,94342 1,9559 1,9416 1,9274 1,9135 1,8997 1,8861 1,8727 1,8594 1,8463 1,83343 2,9122 2,8839 2,856 2,8286 2,8016 2,7751 2,749 2,7232 2,6979 2,6734 3,8544 3,8077 3,762 3,7171 3,6731 3,6299 3,5875 3,546 3,5052 3,46515 4,7826 4,7135 4,6458 4,5797 4,5151 4,4518 4,39 4,3295 4,2703 4,21246 5,6972 5,6014 5,5081 5,4172 5,3286 5,2421 5,1579 5,0757 4,9955 4,91737 6,5982 6,472 6,3494 6,2303 6,1145 6,0021 5,8927 5,7864 5,683 5,58248 7,4859 7,3255 7,1701 7,0197 6,874 6,7327 6,5959 6,4632 6,3346 6,20989 8,3605 8,1622 7,9709 7,7861 7,6077 7,4353 7,2688 7,1078 6,9522 6,8017

10 9,2222 8,9826 8,7521 8,5302 8,3166 8,1109 7,9127 7,7217 7,5376 7,360111 10,071 9,7868 9,5142 9,2526 9,0016 8,7605 8,5289 8,3064 8,0925 7,886912 10,908 10,575 10,258 9,954 9,6633 9,3851 9,1186 8,8633 8,6185 8,383813 11,732 11,348 10,983 10,635 10,303 9,9856 9,6829 9,3936 9,1171 8,852714 12,543 12,106 11,691 11,296 10,921 10,563 10,223 9,8986 9,5896 9,29515 13,343 12,849 12,381 11,938 11,517 11,118 10,74 10,38 10,038 9,712216 14,131 13,578 13,055 12,561 12,094 11,652 11,234 10,838 10,462 10,10617 14,908 14,292 13,712 13,166 12,651 12,166 11,707 11,274 10,865 10,47718 15,673 14,992 14,353 13,754 13,19 12,659 12,16 11,69 11,246 10,82819 16,426 15,678 14,979 14,324 13,71 13,134 12,593 12,085 11,608 11,15820 17,169 16,351 15,589 14,877 14,212 13,59 13,008 12,462 11,95 11,4721 17,9 17,011 16,185 15,415 14,698 14,029 13,405 12,821 12,275 11,76422 18,621 17,658 16,765 15,937 15,167 14,451 13,784 13,163 12,583 12,04223 19,331 18,292 17,332 16,444 15,62 14,857 14,148 13,489 12,875 12,30324 20,03 18,914 17,885 16,936 16,058 15,247 14,495 13,799 13,152 12,5525 20,72 19,523 18,424 17,413 16,482 15,622 14,828 14,094 13,414 12,78326 21,399 20,121 18,951 17,877 16,89 15,983 15,147 14,375 13,662 13,00327 22,068 20,707 19,464 18,327 17,285 16,33 15,451 14,643 13,898 13,21128 22,727 21,281 19,965 18,764 17,667 16,663 15,743 14,898 14,121 13,40629 23,376 21,844 20,454 19,188 18,036 16,984 16,022 15,141 14,333 13,59130 24,016 22,396 20,93 19,6 18,392 17,292 16,289 15,372 14,534 13,76531 24,646 22,938 21,395 20 18,736 17,588 16,544 15,593 14,724 13,92932 25,267 23,468 21,849 20,389 19,069 17,874 16,789 15,803 14,904 14,08433 25,879 23,989 22,292 20,766 19,39 18,148 17,023 16,003 15,075 14,2334 26,482 24,499 22,724 21,132 19,701 18,411 17,247 16,193 15,237 14,36835 27,076 24,999 23,145 21,487 20,001 18,665 17,461 16,374 15,391 14,49836 27,661 25,489 23,556 21,832 20,29 18,908 17,666 16,547 15,536 14,62137 28,237 25,969 23,957 22,167 20,571 19,143 17,862 16,711 15,674 14,73738 28,805 26,441 24,349 22,492 20,841 19,368 18,05 16,868 15,805 14,84639 29,365 26,903 24,73 22,808 21,102 19,584 18,23 17,017 15,929 14,94940 29,916 27,355 25,103 23,115 21,355 19,793 18,402 17,159 16,046 15,04641 30,459 27,799 25,466 23,412 21,599 19,993 18,566 17,294 16,157 15,13842 30,994 28,235 25,821 23,701 21,835 20,186 18,724 17,423 16,263 15,22543 31,521 28,662 26,166 23,982 22,063 20,371 18,874 17,546 16,363 15,30644 32,041 29,08 26,504 24,254 22,283 20,549 19,018 17,663 16,458 15,38345 32,552 29,49 26,833 24,519 22,495 20,72 19,156 17,774 16,548 15,45646 33,056 29,892 27,154 24,775 22,701 20,885 19,288 17,88 16,633 15,524


47 33,553 30,287 27,467 25,025 22,899 21,043 19,415 17,981 16,714 15,58948 34,043 30,673 27,773 25,267 23,091 21,195 19,536 18,077 16,79 15,6549 34,525 31,052 28,071 25,502 23,277 21,341 19,651 18,169 16,863 15,70850 35 31,424 28,362 25,73 23,456 21,482 19,762 18,256 16,932 15,762

V. DAFTAR ANUITET 1/∑(1,015)-n ; 1/∑(1,02)-n ; 1/∑(1,025)-n ; 1/∑(1,03)-n ; 1/∑(1,035)-n ; 1/∑(1,04)-n ; 1/∑(1,045)-n ; 1/∑(1,05)-n ; 1/∑(1,055)-n ; 1/∑(1,06)-n

n 1,50% 2% 2,50% 3% 3,50% 4,00% 4.5% 5,00% 5.5% 6,00%1 1,015 1,02 1,025 1,03 1,035 1,04 1,045 1,05 1,055 1,062 0,5113 0,515 0,5188 0,5226 0,5264 0,5302 0,534 0,5378 0,5416 0,54543 0,3434 0,3468 0,3501 0,3535 0,3569 0,3603 0,3638 0,3672 0,3707 0,37414 0,2594 0,2626 0,2658 0,269 0,2723 0,2755 0,2787 0,282 0,2853 0,28865 0,2091 0,2122 0,2152 0,2184 0,2215 0,2246 0,2278 0,231 0,2342 0,23746 0,1755 0,1785 0,1815 0,1846 0,1877 0,1908 0,1939 0,197 0,2002 0,20347 0,1516 0,1545 0,1575 0,1605 0,1635 0,1666 0,1697 0,1728 0,176 0,17918 0,1336 0,1365 0,1395 0,1425 0,1455 0,1485 0,1516 0,1547 0,1579 0,1619 0,1196 0,1225 0,1255 0,1284 0,1314 0,1345 0,1376 0,1407 0,1438 0,147

10 0,1084 0,1113 0,1143 0,1172 0,1202 0,1233 0,1264 0,1295 0,1327 0,135911 0,0993 0,1022 0,1051 0,1081 0,1111 0,1141 0,1172 0,1204 0,1236 0,126812 0,0917 0,0946 0,0975 0,1005 0,1035 0,1066 0,1097 0,1128 0,116 0,119313 0,0852 0,0881 0,091 0,094 0,0971 0,1001 0,1033 0,1065 0,1097 0,11314 0,0797 0,0826 0,0855 0,0885 0,0916 0,0947 0,0978 0,101 0,1043 0,107615 0,0749 0,0778 0,0808 0,0838 0,0868 0,0899 0,0931 0,0963 0,0996 0,10316 0,0708 0,0737 0,0766 0,0796 0,0827 0,0858 0,089 0,0923 0,0956 0,09917 0,0671 0,07 0,0729 0,076 0,079 0,0822 0,0854 0,0887 0,092 0,095418 0,0638 0,0667 0,0697 0,0727 0,0758 0,079 0,0822 0,0855 0,0889 0,092419 0,0609 0,0638 0,0668 0,0698 0,0729 0,0761 0,0794 0,0827 0,0862 0,089620 0,0582 0,0612 0,0641 0,0672 0,0704 0,0736 0,0769 0,0802 0,0837 0,087221 0,0559 0,0588 0,0618 0,0649 0,068 0,0713 0,0746 0,078 0,0815 0,08522 0,0537 0,0566 0,0596 0,0627 0,0659 0,0692 0,0725 0,076 0,0795 0,08323 0,0517 0,0547 0,0577 0,0608 0,064 0,0673 0,0707 0,0741 0,0777 0,081324 0,0499 0,0529 0,0559 0,059 0,0623 0,0656 0,069 0,0725 0,076 0,079725 0,0483 0,0512 0,0543 0,0574 0,0607 0,064 0,0674 0,071 0,0745 0,078226 0,0467 0,0497 0,0528 0,0559 0,0592 0,0626 0,066 0,0696 0,0732 0,076927 0,0453 0,0483 0,0514 0,0546 0,0579 0,0612 0,0647 0,0683 0,072 0,075728 0,044 0,047 0,0501 0,0533 0,0566 0,06 0,0635 0,0671 0,0708 0,074629 0,0428 0,0458 0,0489 0,0521 0,0554 0,0589 0,0624 0,066 0,0698 0,073630 0,0416 0,0446 0,0478 0,051 0,0544 0,0578 0,0614 0,0651 0,0688 0,072631 0,0406 0,0436 0,0467 0,05 0,0534 0,0569 0,0604 0,0641 0,0679 0,071832 0,0396 0,0426 0,0458 0,049 0,0524 0,0559 0,0596 0,0633 0,0671 0,07133 0,0386 0,0417 0,0449 0,0482 0,0516 0,0551 0,0587 0,0625 0,0663 0,070334 0,0378 0,0408 0,044 0,0473 0,0508 0,0543 0,058 0,0618 0,0656 0,069635 0,0369 0,04 0,0432 0,0465 0,05 0,0536 0,0573 0,0611 0,065 0,06936 0,0362 0,0392 0,0425 0,0458 0,0493 0,0529 0,0566 0,0604 0,0644 0,068437 0,0354 0,0385 0,0417 0,0451 0,0486 0,0522 0,056 0,0598 0,0638 0,067938 0,0347 0,0378 0,0411 0,0445 0,048 0,0516 0,0554 0,0593 0,0633 0,067439 0,0341 0,0372 0,0404 0,0438 0,0474 0,0511 0,0549 0,0588 0,0628 0,066940 0,0334 0,0366 0,0398 0,0433 0,0468 0,0505 0,0543 0,0583 0,0623 0,066541 0,0328 0,036 0,0393 0,0427 0,0463 0,05 0,0539 0,0578 0,0619 0,066142 0,0323 0,0354 0,0387 0,0422 0,0458 0,0495 0,0534 0,0574 0,0615 0,065743 0,0317 0,0349 0,0382 0,0417 0,0453 0,0491 0,053 0,057 0,0611 0,065344 0,0312 0,0344 0,0377 0,0412 0,0449 0,0487 0,0526 0,0566 0,0608 0,06545 0,0307 0,0339 0,0373 0,0408 0,0445 0,0483 0,0522 0,0563 0,0604 0,064746 0,0303 0,0335 0,0368 0,0404 0,0441 0,0479 0,0518 0,0559 0,0601 0,064447 0,0298 0,033 0,0364 0,04 0,0437 0,0475 0,0515 0,0556 0,0598 0,0641


48 0,0294 0,0326 0,036 0,0396 0,0433 0,0472 0,0512 0,0553 0,0596 0,063949 0,029 0,0322 0,0356 0,0392 0,043 0,0469 0,0509 0,055 0,0593 0,063750 0,0286 0,0318 0,0353 0,0389 0,0426 0,0466 0,0506 0,0548 0,0591 0,0634


LUAS DIBAWAH LENGKUNGAN NORMAL STANDAR Dari 0 ke z(DIHITUNG MENGGUNAKAN Ms. EXCEL DENGAN FORMULA “=NORMDIST”)

z 0 1 2 3 4 5 6 7 8 90 0,0000 0,0040 0,0080 0,0120 0,0160 0,0199 0,0239 0,0279 0,0319 0,0359

0,1 0,0398 0,0438 0,0478 0,0517 0,0557 0,0596 0,0636 0,0675 0,0714 0,07530,2 0,0793 0,0832 0,0871 0,0910 0,0948 0,0987 0,1026 0,1064 0,1103 0,11410,3 0,1179 0,1217 0,1255 0,1293 0,1331 0,1368 0,1406 0,1443 0,1480 0,15170,4 0,1554 0,1591 0,1628 0,1664 0,1700 0,1736 0,1772 0,1808 0,1844 0,18790,5 0,1915 0,1950 0,1985 0,2019 0,2054 0,2088 0,2123 0,2157 0,2190 0,22240,6 0,2257 0,2291 0,2324 0,2357 0,2389 0,2422 0,2454 0,2486 0,2517 0,25490,7 0,2580 0,2611 0,2642 0,2673 0,2704 0,2734 0,2764 0,2794 0,2823 0,28520,8 0,2881 0,2910 0,2939 0,2967 0,2995 0,3023 0,3051 0,3078 0,3106 0,31330,9 0,3159 0,3186 0,3212 0,3238 0,3264 0,3289 0,3315 0,334 0,3365 0,33891 0,3413 0,3438 0,3461 0,3485 0,3508 0,3531 0,3554 0,3577 0,3599 0,3621

1,1 0,3643 0,3665 0,3686 0,3708 0,3729 0,3749 0,3770 0,3790 0,3810 0,38301,2 0,3849 0,3869 0,3888 0,3907 0,3925 0,3944 0,3962 0,3980 0,3997 0,40151,3 0,4032 0,4049 0,4066 0,4082 0,4099 0,4115 0,4131 0,4147 0,4162 0,41771,4 0,4192 0,4207 0,4222 0,4236 0,4251 0,4265 0,4279 0,4292 0,4306 0,43191,5 0,4332 0,4345 0,4357 0,4370 0,4382 0,4394 0,4406 0,4418 0,4429 0,44411,6 0,4452 0,4463 0,4474 0,4484 0,4495 0,4505 0,4515 0,4525 0,4535 0,45451,7 0,4554 0,4564 0,4573 0,4582 0,4591 0,4599 0,4608 0,4616 0,4625 0,46331,8 0,4641 0,4649 0,4656 0,4664 0,4671 0,4678 0,4686 0,4693 0,4699 0,47061,9 0,4713 0,4719 0,4726 0,4732 0,4738 0,4744 0,475 0,4756 0,4761 0,47672 0,4772 0,4778 0,4783 0,4788 0,4793 0,4798 0,4803 0,4808 0,4812 0,4817

2,1 0,4821 0,4826 0,4830 0,4834 0,4838 0,4842 0,4846 0,4850 0,4854 0,48572,2 0,4861 0,4864 0,4868 0,4871 0,4875 0,4878 0,4881 0,4884 0,4887 0,48902,3 0,4893 0,4896 0,4898 0,4901 0,4904 0,4906 0,4909 0,4911 0,4913 0,49162,4 0,4918 0,4920 0,4922 0,4925 0,4927 0,4929 0,4931 0,4932 0,4934 0,49362,5 0,4938 0,4940 0,4941 0,4943 0,4945 0,4946 0,4948 0,4949 0,4951 0,49522,6 0,4953 0,4955 0,4956 0,4957 0,4959 0,4960 0,4961 0,4962 0,4963 0,49642,7 0,4965 0,4966 0,4967 0,4968 0,4969 0,4970 0,4971 0,4972 0,4973 0,49742,8 0,4974 0,4975 0,4976 0,4977 0,4977 0,4978 0,4979 0,4979 0,4980 0,49812,9 0,4981 0,4982 0,4982 0,4983 0,4984 0,4984 0,4985 0,4985 0,4986 0,49863 0,4987 0,4987 0,4987 0,4988 0,4988 0,4989 0,4989 0,4989 0,4990 0,4990

3,1 0,4990 0,4991 0,4991 0,4991 0,4992 0,4992 0,4992 0,4992 0,4993 0,49933,2 0,4993 0,4993 0,4994 0,4994 0,4994 0,4994 0,4994 0,4995 0,4995 0,49953,3 0,4995 0,4995 0,4995 0,4996 0,4996 0,4996 0,4996 0,4996 0,4996 0,49973,4 0,4997 0,4997 0,4997 0,4997 0,4997 0,4997 0,4997 0,4997 0,4997 0,49983,5 0,4998 0,4998 0,4998 0,4998 0,4998 0,4998 0,4998 0,4998 0,4998 0,49983,6 0,4998 0,4998 0,4999 0,4999 0,4999 0,4999 0,4999 0,4999 0,4999 0,49993,7 0,4999 0,4999 0,4999 0,4999 0,4999 0,4999 0,4999 0,4999 0,4999 0,49993,8 0,4999 0,4999 0,4999 0,4999 0,4999 0,4999 0,4999 0,4999 0,4999 0,49993,9 0,5000 0,5000 0,5000 0,5000 0,5000 0,5000 0,5000 0,5000 0,5000 0,5000

ondisaondi.wordpress.com / department of mathematics 51

TABEL DEVIASI NORMAL(DIHITUNG MENGGUNAKAN Ms. EXCEL DENGAN FORMULA “=NORMINV”)

p 0 1 2 3 4 5 6 7 8 9

0,49 -0,0251 -0,0226-

0,0201-0,0175 -0,015

-0,0125

-0,01 -0,0075 -0,005 -0,0025

0,48 -0,0502 -0,0476 -0,0451

-0,0426 -0,0401 -0,0376

-0,0351 -0,0326 -0,0301 -0,0276

0,47 -0,0753 -0,0728-

0,0702-0,0677 -0,0652

-0,0627

-0,0602 -0,0577 -0,0552 -0,0527

0,46 -0,1004 -0,0979 -0,0954

-0,0929 -0,0904 -0,0878

-0,0853 -0,0828 -0,0803 -0,0778

0,45 -0,1257 -0,1231-

0,1206-0,1181 -0,1156 -0,113 -0,1105 -0,108 -0,1055 -0,103

0,44 -0,151 -0,1484 -0,1459

-0,1434 -0,1408 -0,1383

-0,1358 -0,1332 -0,1307 -0,1282

0,43 -0,1764 -0,1738-

0,1713-0,1687 -0,1662

-0,1637

-0,1611 -0,1586 -0,156 -0,1535

0,42 -0,2019 -0,1993 -0,1968

-0,1942 -0,1917 -0,1891

-0,1866 -0,184 -0,1815 -0,1789

0,41 -0,2275 -0,225-

0,2224-0,2198 -0,2173

-0,2147

-0,2121 -0,2096 -0,207 -0,2045

0,4 -0,2533 -0,2508 -0,2482

-0,2456 -0,243 -0,2404

-0,2378 -0,2353 -0,2327 -0,2301

0,39 -0,2793 -0,2767-

0,2741-0,2715 -0,2689

-0,2663

-0,2637 -0,2611 -0,2585 -0,2559

0,38 -0,3055 -0,3029 -0,3002

-0,2976 -0,295 -0,2924

-0,2898 -0,2871 -0,2845 -0,2819

0,37 -0,3319 -0,3292-

0,3266-0,3239 -0,3213

-0,3186

-0,316 -0,3134 -0,3107 -0,3081

0,36 -0,3585 -0,3558 -0,3531

-0,3505 -0,3478 -0,3451

-0,3425 -0,3398 -0,3372 -0,3345

0,35 -0,3853 -0,3826-

0,3799-0,3772 -0,3745

-0,3719

-0,3692 -0,3665 -0,3638 -0,3611

0,34 -0,4125 -0,4097 -0,407 -0,4043 -0,4016 -0,3989

-0,3961 -0,3934 -0,3907 -0,388

0,33 -0,4399 -0,4372-

0,4344-0,4316 -0,4289

-0,4261

-0,4234 -0,4207 -0,4179 -0,4152

0,32 -0,4677 -0,4649 -0,4621

-0,4593 -0,4565 -0,4538

-0,451 -0,4482 -0,4454 -0,4427

0,31 -0,4958 -0,493-

0,4902-0,4874 -0,4845

-0,4817

-0,4789 -0,4761 -0,4733 -0,4705

0,3 -0,5244 -0,5215 -0,5187

-0,5158 -0,5129 -0,5101

-0,5072 -0,5044 -0,5015 -0,4987

0,29 -0,5534 -0,5505-

0,5476-0,5446 -0,5417

-0,5388

-0,5359 -0,533 -0,5302 -0,5273

0,28 -0,5828 -0,5799 -0,5769

-0,574 -0,571 -0,5681

-0,5651 -0,5622 -0,5592 -0,5563

0,27 -0,6128 -0,6098-

0,6068-0,6038 -0,6008

-0,5978

-0,5948 -0,5918 -0,5888 -0,5858

0,26 -0,6433 -0,6403 -0,6372

-0,6341 -0,6311 -0,628 -0,625 -0,6219 -0,6189 -0,6158

0,25 -0,6745 -0,6713-

0,6682-0,6651 -0,662

-0,6588

-0,6557 -0,6526 -0,6495 -0,6464

0,24 -0,7063 -0,7031 -0,6999

-0,6967 -0,6935 -0,6903

-0,6871 -0,684 -0,6808 -0,6776

0,23 -0,7388 -0,7356-

0,7323-0,729 -0,7257

-0,7225

-0,7192 -0,716 -0,7128 -0,7095


0,22 -0,7722 -0,7688-

0,7655-0,7621 -0,7588

-0,7554

-0,7521 -0,7488 -0,7454 -0,7421

0,21 -0,8064 -0,803 -0,7995

-0,7961 -0,7926 -0,7892

-0,7858 -0,7824 -0,779 -0,7756

0,2 -0,8416 -0,8381-

0,8345-0,831 -0,8274

-0,8239

-0,8204 -0,8169 -0,8134 -0,8099

0,19 -0,8779 -0,8742 -0,8706

-0,8669 -0,8632 -0,8596

-0,856 -0,8524 -0,8488 -0,8452

0,18 -0,9154 -0,9116-

0,9078-0,904 -0,9002

-0,8965

-0,8927 -0,889 -0,8853 -0,8816

0,17 -0,9542 -0,9502 -0,9463

-0,9424 -0,9385 -0,9346

-0,9307 -0,9269 -0,923 -0,9192

0,16 -0,9945 -0,9904-

0,9863-0,9822 -0,9782

-0,9741

-0,9701 -0,9661 -0,9621 -0,9581

0,15 -1,0364 -1,0322 -1,0279

-1,0237 -1,0194 -1,0152

-1,011 -1,0069 -1,0027 -0,9986

0,14 -1,0803 -1,0758-

1,0714-1,0669 -1,0625

-1,0581

-1,0537 -1,0494 -1,0451 -1,0407

0,13 -1,1264 -1,1217 -1,117 -1,1123 -1,1077 -1,1031

-1,0985 -1,0939 -1,0893 -1,0848

0,12 -1,175 -1,17 -1,165 -1,1601 -1,1552-

1,1503-1,1455 -1,1407 -1,1359 -1,1311

0,11 -1,2265 -1,2212 -1,216 -1,2107 -1,2055 -1,2004

-1,1952 -1,1901 -1,185 -1,18

0,1 -1,2816 -1,2759-

1,2702-1,2646 -1,2591

-1,2536

-1,2481 -1,2426 -1,2372 -1,2319

0,09 -1,3408 -1,3346 -1,3285

-1,3225 -1,3165 -1,3106

-1,3047 -1,2988 -1,293 -1,2873

0,08 -1,4051 -1,3984-

1,3917-1,3852 -1,3787

-1,3722

-1,3658 -1,3595 -1,3532 -1,3469

0,07 -1,4758 -1,4684 -1,4611

-1,4538 -1,4466 -1,4395

-1,4325 -1,4255 -1,4187 -1,4118

0,06 -1,5548 -1,5464-

1,5382-1,5301 -1,522

-1,5141

-1,5063 -1,4985 -1,4909 -1,4833

0,05 -1,6449 -1,6352 -1,6258

-1,6164 -1,6072 -1,5982

-1,5893 -1,5805 -1,5718 -1,5632

0,04 -1,7507 -1,7392-

1,7279-1,7169 -1,706

-1,6954

-1,6849 -1,6747 -1,6646 -1,6546

0,03 -1,8808 -1,8663 -1,8522

-1,8384 -1,825 -1,8119

-1,7991 -1,7866 -1,7744 -1,7624

0,02 -2,0537 -2,0335-

2,0141-1,9954 -1,9774 -1,96 -1,9431 -1,9268 -1,911 -1,8957

0,01 -2,3263 -2,2904 -2,2571

-2,2262 -2,1973 -2,1701

-2,1444 -2,1201 -2,0969 -2,0748

0 -3,0902-

2,8782-2,7478 -2,6521

-2,5758

-2,5121 -2,4573 -2,4089 -2,3656

NILAI PERSENTIL UNTUK DISTRIBUSI t(DIHITUNG MENGGUNAKAN Ms. EXCEL DENGAN FORMULA “=TINV”)

dfα

0,005

0,01 0,020,02

50,05 0,1 0,2 0,25 0,3 0,4 0,45 0,5 0,6 0,8 0,9

1 127,32

63,656

31,821

25,452

12,706

6,3137

3,0777

2,4142

1,9626

1,3764

1,1708

10,726

50,324

90,158

4

2 14,089

9,925 6,9645

6,2054

4,3027

2,92 1,8856

1,6036

1,3862

1,0607

0,9313

0,8165

0,6172

0,2887

0,1421

3 7,453 5,840 4,540 4,176 3,182 2,353 1,637 1,422 1,249 0,978 0,866 0,764 0,584 0,276 0,136


2 8 7 5 4 4 7 6 8 5 4 9 4 7 6

4 5,5975

4,6041

3,7469

3,4954

2,7765

2,1318

1,5332

1,3444

1,1896

0,941 0,8364

0,7407

0,5686

0,2707

0,1338

5 4,7733

4,0321

3,3649

3,1634

2,5706

2,0151,475

91,300

91,155

80,919

50,819

10,726

70,559

40,267

20,132

2

6 4,3168

3,7074

3,1427

2,9687

2,4469

1,9432

1,4398

1,2733

1,1342

0,9057

0,8079

0,7176

0,5534

0,2648

0,1311

7 4,0294

3,4995

2,9979

2,8412

2,3646

1,8946

1,4149

1,2543

1,1192

0,896 0,80,711

10,549

10,263

20,130

3

8 3,8325

3,3554

2,8965

2,7515

2,306 1,8595

1,3968

1,2403

1,1081

0,8889

0,7942

0,7064

0,5459

0,2619

0,1297

9 3,6896

3,2498

2,8214

2,6852,262

21,833

11,383

1,2297

1,0997

0,8834

0,7897

0,7027

0,5435

0,2610,129

3

10 3,5814

3,1693

2,7638

2,6338

2,2281

1,8125

1,3722

1,2213

1,0931

0,8791

0,7862

0,6998

0,5415

0,2602

0,1289

11 3,4966

3,1058

2,7181

2,5931

2,2011,795

91,363

41,214

51,087

70,875

50,783

30,697

40,539

90,259

60,128

6

12 3,4284

3,0545

2,681 2,56 2,1788

1,7823

1,3562

1,2089

1,0832

0,8726

0,7809

0,6955

0,5386

0,259 0,1283

13 3,3725

3,0123

2,6503

2,5326

2,1604

1,7709

1,3502

1,2041

1,0795

0,8702

0,7789

0,6938

0,5375

0,2586

0,1281

14 3,3257

2,9768

2,6245

2,5096

2,1448

1,7613

1,345 1,2001

1,0763

0,8681

0,7772

0,6924

0,5366

0,2582

0,128

15 3,2862,946

72,602

52,489

92,131

51,753

11,340

61,196

71,073

50,866

20,775

70,691

20,535

70,257

90,127

8

16 3,252 2,9208

2,5835

2,4729

2,1199

1,7459

1,3368

1,1937

1,0711

0,8647

0,7744

0,6901

0,535 0,2576

0,1277

17 3,2224

2,8982

2,5669

2,4581

2,1098

1,7396

1,3334

1,191 1,0690,863

30,773

20,689

20,534

40,257

30,127

6

18 3,1966

2,8784

2,5524

2,445 2,1009

1,7341

1,3304

1,1887

1,0672

0,862 0,7722

0,6884

0,5338

0,2571

0,1274

19 3,1737

2,8609

2,5395

2,4334

2,0931,729

11,327

71,186

61,065

50,861

0,7713

0,6876

0,5333

0,2569

0,1274

20 3,1534

2,8453

2,528 2,4231

2,086 1,7247

1,3253

1,1848

1,064 0,86 0,7705

0,687 0,5329

0,2567

0,1273

21 3,1352

2,8314

2,5176

2,4138

2,0796

1,7207

1,3232

1,1831

1,0627

0,8591

0,7698

0,6864

0,5325

0,2566

0,1272

22 3,1188

2,8188

2,5083

2,4055

2,0739

1,7171

1,3212

1,1815

1,0614

0,8583

0,7691

0,6858

0,5321

0,2564

0,1271

23 3,1042,807

32,499

92,397

92,068

71,713

91,319

51,180

21,060

30,857

50,768

50,685

30,531

70,256

30,127

1

24 3,0905

2,797 2,4922

2,391 2,0639

1,7109

1,3178

1,1789

1,0593

0,8569

0,768 0,6848

0,5314

0,2562

0,127

25 3,0782

2,7874

2,4851

2,3846

2,0595

1,7081

1,3163

1,1777

1,0584

0,8562

0,7675

0,6844

0,5312

0,2561

0,1269

26 3,0669

2,7787

2,4786

2,3788

2,0555

1,7056

1,315 1,1766

1,0575

0,8557

0,767 0,684 0,5309

0,256 0,1269

27 3,0565

2,7707

2,4727

2,3734

2,0518

1,7033

1,3137

1,1756

1,0567

0,8551

0,7665

0,6837

0,5306

0,2559

0,1268

28 3,047 2,7633

2,4671

2,3685

2,0484

1,7011

1,3125

1,1747

1,056 0,8546

0,7661

0,6834

0,5304

0,2558

0,1268

29 3,0382,756

42,462

2,3638

2,0452

1,6991

1,3114

1,1739

1,0553

0,8542

0,7658

0,6830,530

20,255

70,126

8

30 3,0298

2,75 2,4573

2,3596

2,0423

1,6973

1,3104

1,1731

1,0547

0,8538

0,7654

0,6828

0,53 0,2556

0,1267

31 3,022 2,744 2,452 2,355 2,039 1,695 1,309 1,172 1,054 0,853 0,765 0,682 0,529 0,255 0,126


1 8 6 5 5 5 3 1 4 1 5 8 5 7

32 3,0149

2,7385

2,4487

2,3518

2,0369

1,6939

1,3086

1,1716

1,0535

0,853 0,7648

0,6822

0,5297

0,2555

0,1267

33 3,0082

2,7333

2,4448

2,3483

2,0345

1,6924

1,3077

1,171 1,0530,852

60,764

50,682

0,5295

0,2554

0,1266

34 3,002 2,7284

2,4411

2,3451

2,0322

1,6909

1,307 1,1703

1,0525

0,8523

0,7642

0,6818

0,5294

0,2553

0,1266

35 2,9961

2,7238

2,4377

2,3422,030

11,689

61,306

21,169

81,052 0,852 0,764

0,6816

0,5292

0,2553

0,1266

36 2,9905

2,7195

2,4345

2,3391

2,0281

1,6883

1,3055

1,1692

1,0516

0,8517

0,7637

0,6814

0,5291

0,2552

0,1266

37 2,9853

2,7154

2,4314

2,3363

2,0262

1,6871

1,3049

1,1687

1,0512

0,8514

0,7635

0,6812

0,5289

0,2552

0,1265

38 2,9803

2,7116

2,4286

2,3337

2,0244

1,686 1,3042

1,1682

1,0508

0,8512

0,7633

0,681 0,5288

0,2551

0,1265

39 2,9756

2,7079

2,4258

2,3313

2,0227

1,6849

1,3036

1,1677

1,0504

0,8509

0,7631

0,6808

0,5287

0,2551

0,1265

40 2,9712

2,7045

2,4233

2,3289

2,0211

1,6839

1,3031

1,1673

1,05 0,8507

0,7629

0,6807

0,5286

0,255 0,1265

41 2,9672,701

22,420

82,326

72,019

51,682

91,302

51,166

91,049

70,850

50,762

70,680

50,528

50,255

0,1264

42 2,963 2,6981

2,4185

2,3246

2,0181

1,682 1,302 1,1665

1,0494

0,8503

0,7625

0,6804

0,5284

0,255 0,1264

43 2,9592

2,6951

2,4163

2,3226

2,0167

1,6811

1,3016

1,1661

1,0491

0,8501

0,7624

0,6802

0,5283

0,2549

0,1264

44 2,9555

2,6923

2,4141

2,3207

2,0154

1,6802

1,3011

1,1657

1,0488

0,8499

0,7622

0,6801

0,5282

0,2549

0,1264

45 2,9521

2,6896

2,4121

2,3189

2,0141

1,6794

1,3007

1,1654

1,0485

0,8497

0,7621

0,680,528

10,254

90,126

4

46 2,9488

2,687 2,4102

2,3172

2,0129

1,6787

1,3002

1,1651

1,0482

0,8495

0,7619

0,6799

0,5281

0,2548

0,1264

47 2,9456

2,6846

2,4083

2,3155

2,0117

1,6779

1,2998

1,1647

1,0480,849

30,761

80,679

70,528

0,2548

0,1263

48 2,9426

2,6822

2,4066

2,3139

2,0106

1,6772

1,2994

1,1644

1,0478

0,8492

0,7616

0,6796

0,5279

0,2548

0,1263

49 2,9397

2,682,404

92,312

42,009

61,676

61,299

11,164

21,047

50,849

0,7615

0,6795

0,5278

0,2547

0,1263

50 2,937 2,6778

2,4033

2,3109

2,0086

1,6759

1,2987

1,1639

1,0473

0,8489

0,7614

0,6794

0,5278

0,2547

0,1263

51 2,9343

2,6757

2,4017

2,3095

2,0076

1,6753

1,2984

1,1636

1,0471

0,8487

0,7613

0,6793

0,5277

0,2547

0,1263

52 2,9318

2,6737

2,4002

2,3082

2,0066

1,6747

1,298 1,1633

1,0469

0,8486

0,7612

0,6792

0,5276

0,2546

0,1263

53 2,9293

2,6718

2,3988

2,3069

2,0057

1,6741

1,2977

1,1631

1,0467

0,8485

0,7611

0,6791

0,5276

0,2546

0,1263

54 2,927 2,67 2,3974

2,3056

2,0049

1,6736

1,2974

1,1629

1,0465

0,8483

0,7609

0,6791

0,5275

0,2546

0,1263

55 2,9247

2,6682

2,3961

2,3044

2,004 1,6731,297

11,162

61,046

30,848

20,760

80,679

0,5275

0,2546

0,1262

56 2,9225

2,6665

2,3948

2,3033

2,0032

1,6725

1,2969

1,1624

1,0461

0,8481

0,7607

0,6789

0,5274

0,2546

0,1262

57 2,9204

2,6649

2,3936

2,3022

2,0025

1,6721,296

61,162

21,045

90,848

0,7607

0,6788

0,5273

0,2545

0,1262

58 2,9184

2,6633

2,3924

2,3011

2,0017

1,6716

1,2963

1,162 1,0458

0,8479

0,7606

0,6787

0,5273

0,2545

0,1262

59 2,916 2,661 2,391 2,3 2,001 1,671 1,296 1,161 1,045 0,847 0,760 0,678 0,527 0,254 0,126


4 8 2 1 1 8 6 8 5 7 2 5 2

60 2,9146

2,6603

2,3901

2,299 2,0003

1,6706

1,2958

1,1616

1,0455

0,8477

0,7604

0,6786

0,5272

0,2545

0,1262

61 2,9127

2,6589

2,3892,298

11,999

61,670

21,295

61,161

41,045

30,847

60,760

30,678

50,527

20,254

50,126

2

62 2,911 2,6575

2,388 2,2971

1,999 1,6698

1,2954

1,1612

1,0452

0,8475

0,7602

0,6785

0,5271

0,2544

0,1262

63 2,9093

2,6561

2,3872,296

21,998

31,669

41,295

11,161

11,045

0,8474

0,7602

0,6784

0,5271

0,2544

0,1262

64 2,9076

2,6549

2,386 2,2954

1,9977

1,669 1,2949

1,1609

1,0449

0,8473

0,7601

0,6783

0,527 0,2544

0,1262

65 2,9062,653

62,385

12,294

51,997

11,668

61,294

71,160

71,044

80,847

20,76

0,6783

0,5270,254

40,126

2

66 2,9045

2,6524

2,3842

2,2937

1,9966

1,6683

1,2945

1,1606

1,0446

0,8471

0,7599

0,6782

0,5269

0,2544

0,1261

67 2,9032,651

22,383

32,292

91,996

1,6679

1,2943

1,1604

1,0445

0,8470,759

90,678

20,526

90,254

40,126

1

68 2,9015

2,6501

2,3824

2,2921

1,9955

1,6676

1,2941

1,1603

1,0444

0,8469

0,7598

0,6781

0,5269

0,2543

0,1261

69 2,9001

2,6492,381

62,291

41,994

91,667

21,293

91,160

11,044

30,846

90,759

70,678

10,526

80,254

30,126

1

70 2,8987

2,6479

2,3808

2,2906

1,9944

1,6669

1,2938

1,16 1,0442

0,8468

0,7597

0,678 0,5268

0,2543

0,1261

71 2,8974

2,6469

2,382,289

91,993

91,666

61,293

61,159

81,044

10,846

70,759

60,678

0,5268

0,2543

0,1261

72 2,8961

2,6458

2,3793

2,2892

1,9935

1,6663

1,2934

1,1597

1,044 0,8466

0,7596

0,6779

0,5267

0,2543

0,1261

73 2,8948

2,6449

2,3785

2,2886

1,993 1,6661,293

31,159

61,043

80,846

60,759

50,677

90,526

70,254

30,126

1

74 2,8936

2,6439

2,3778

2,2879

1,9925

1,6657

1,2931

1,1595

1,0437

0,8465

0,7594

0,6778

0,5267

0,2543

0,1261

75 2,8924

2,6432,377

12,287

31,992

11,665

41,292

91,159

31,043

60,846

40,759

40,677

80,526

60,254

20,126

1

76 2,8913

2,6421

2,3764

2,2867

1,9917

1,6652

1,2928

1,1592

1,0436

0,8464

0,7593

0,6777

0,5266

0,2542

0,1261

77 2,8902

2,6412

2,3758

2,2861

1,9913

1,6649

1,2926

1,1591

1,0435

0,8463

0,7593

0,6777

0,5266

0,2542

0,1261

78 2,8891

2,6403

2,3751

2,2855

1,9908

1,6646

1,2925

1,159 1,0434

0,8463

0,7592

0,6776

0,5266

0,2542

0,1261

79 2,8882,639

52,374

52,284

91,990

51,664

41,292

41,158

91,043

30,846

20,759

20,677

60,526

50,254

20,126

1

80 2,887 2,6387

2,3739

2,2844

1,9901

1,6641

1,2922

1,1588

1,0432

0,8461

0,7591

0,6776

0,5265

0,2542

0,1261

81 2,8862,637

92,373

32,283

81,989

71,663

91,292

11,158

71,043

10,846

10,759

10,677

50,526

50,254

20,126

1

82 2,885 2,6371

2,3727

2,2833

1,9893

1,6636

1,292 1,1586

1,043 0,846 0,759 0,6775

0,5264

0,2542

0,1261

83 2,8842,636

42,372

12,282

81,989

1,6634

1,2918

1,1585

1,0429

0,846 0,7590,677

50,526

40,254

20,126

84 2,8831

2,6356

2,3716

2,2823

1,9886

1,6632

1,2917

1,1584

1,0429

0,8459

0,759 0,6774

0,5264

0,2542

0,126

85 2,8822

2,6349

2,3712,281

81,988

31,663

1,2916

1,1583

1,0428

0,8459

0,7589

0,6774

0,5264

0,2541

0,126

86 2,8813

2,6342

2,3705

2,2813

1,9879

1,6628

1,2915

1,1582

1,0427

0,8458

0,7589

0,6774

0,5263

0,2541

0,126

87 2,880 2,633 2,37 2,280 1,987 1,662 1,291 1,158 1,042 0,845 0,758 0,677 0,526 0,254 0,126


4 5 9 6 6 4 1 6 8 8 3 3 1

88 2,8795

2,6329

2,3695

2,2804

1,9873

1,6624

1,2912

1,158 1,0426

0,8457

0,7588

0,6773

0,5263

0,2541

0,126

89 2,8787

2,6322

2,369 2,28 1,9871,662

21,291

11,157

91,042

50,845

70,758

80,677

30,526

30,254

10,126

90 2,8779

2,6316

2,3685

2,2795

1,9867

1,662 1,291 1,1578

1,0424

0,8456

0,7587

0,6772

0,5263

0,2541

0,126

91 2,8771

2,6309

2,3682,279

11,986

41,661

81,290

91,157

71,042

40,845

60,758

70,677

20,526

20,254

10,126

92 2,8763

2,6303

2,3676

2,2787

1,9861

1,6616

1,2908

1,1577

1,0423

0,8455

0,7587

0,6772

0,5262

0,2541

0,126

93 2,8755

2,6297

2,3671

2,2783

1,9858

1,6614

1,2907

1,1576

1,0422

0,8455

0,7586

0,6771

0,5262

0,2541

0,126

94 2,8748

2,6291

2,3667

2,2779

1,9855

1,6612

1,2906

1,1575

1,0422

0,8455

0,7586

0,6771

0,5262

0,2541

0,126

95 2,8741

2,6286

2,3662

2,2775

1,9852

1,6611

1,2905

1,1574

1,0421

0,8454

0,7585

0,6771

0,5262

0,2541

0,126

96 2,8733

2,628 2,3658

2,2771

1,985 1,6609

1,2904

1,1574

1,0421

0,8454

0,7585

0,6771

0,5261

0,2541

0,126

97 2,8727

2,6275

2,3654

2,2767

1,9847

1,6607

1,2903

1,1573

1,0420,845

30,758

50,677

0,5261

0,254 0,126

98 2,872 2,6269

2,365 2,2764

1,9845

1,6606

1,2903

1,1572

1,0419

0,8453

0,7585

0,677 0,5261

0,254 0,126

99 2,8713

2,6264

2,3646

2,2761,984

21,660

41,290

21,157

11,041

90,845

30,758

40,677

0,5261

0,254 0,126

100 2,8707

2,6259

2,3642

2,2757

1,984 1,6602

1,2901

1,1571

1,0418

0,8452

0,7584

0,677 0,5261

0,254 0,126

120 2,8599

2,6174

2,3578

2,2699

1,9799

1,6576

1,2886

1,1559

1,0409

0,8446

0,7579

0,6765

0,5258

0,2539

0,1259

140 2,8522

2,6114

2,3533

2,2658

1,9771

1,6558

1,2876

1,1551

1,0403

0,8442

0,7575

0,6762

0,5256

0,2538

0,1259

160 2,8465

2,6069

2,3499

2,2627

1,9749

1,6544

1,2869

1,1545

1,0398

0,8439

0,7573

0,6760,525

40,253

80,125

9

180 2,8421

2,6034

2,3472

2,2603

1,9732

1,6534

1,2863

1,1541

1,0394

0,8436

0,7571

0,6759

0,5253

0,2537

0,1258

200 2,8385

2,6006

2,3451

2,2584

1,9719

1,6525

1,2858

1,1537

1,0391

0,8434

0,7569

0,6757

0,5252

0,2537

0,1258

250 2,8322

2,5956

2,3414

2,255 1,9695

1,651 1,2849

1,153 1,0386

0,8431

0,7566

0,6755

0,5251

0,2536

0,1258

300 2,8279

2,5923

2,3388

2,2527

1,9679

1,6499

1,2844

1,1526

1,0382

0,8428

0,7564

0,6753

0,5250,253

60,125

8

400 2,8227

2,5882

2,3357

2,2499

1,9659

1,6487

1,2837

1,152 1,0378

0,8425

0,7562

0,6751

0,5248

0,2535

0,1257

500 2,8195

2,5857

2,3338

2,2482

1,9647

1,6479

1,2832

1,1517

1,0375

0,8423

0,756 0,6750,524

70,253

50,125

7

1000 2,8133

2,5807

2,3301

2,2448

1,9623

1,6464

1,2824

1,151 1,037 0,842 0,7557

0,6747

0,5246

0,2534

0,1257

2000 2,8102

2,5783

2,3282

2,2431

1,9612

1,6456

1,2821,150

71,036

70,841

80,755

60,674

60,524

50,253

40,125

7

5000 2,8083

2,5768

2,3271

2,2421

1,9604

1,6452

1,2817

1,1505

1,0365

0,8417

0,7555

0,6745

0,5244

0,2534

0,1257


10000

2,8076

2,5763

2,3267

2,2417

1,9602

1,645 1,2816

1,1504

1,0365

0,8417

0,7554

0,6745

0,5244

0,2534

0,1257

20000

2,8074

2,5761

2,3265

2,2416

1,9601

1,6449

1,2816

1,1504

1,0365

0,8416

0,7554

0,6745

0,5244

0,2534

0,1257

50000

2,8072

2,5759

2,3264

2,2415

1,96 1,6449

1,2816

1,1504

1,0364

0,8416

0,7554

0,6745

0,5244

0,2533

0,1257

1E+06

2,8072,575

82,326

42,241

41,96

1,6449

1,2816

1,1503

1,0364

0,8416

0,7554

0,6745

0,5244

0,2533

0,1257

1E+07

2,807 2,5758

2,3264

2,2414

1,96 1,6449

1,2816

1,1503

1,0364

0,8416

0,7554

0,6745

0,5244

0,2533

0,1257

NILAI PERSENTIL UNTUK DISTRIBUSI F (p = 0,01)(DIHITUNG MENGGUNAKAN Ms. EXCEL DENGAN FORMULA “=FINV”)

df2df1 (pembilang)

1 2 4 6 8 10 14 34 40 50 75 100 200 500

1 4052,2

4999,3

5624,3

5859 5981 6055,9

6143 6272,9

6286,4

6302,3

6323,7

6333,9

6349,8

6359,5

298,50

299

99,251

99,331

99,375

99,397

99,426

99,4799,47

799,47

799,48

499,49

199,49

199,49

9

3 34,116

30,816

28,71 27,911

27,489

27,228

26,924

26,461

26,411

26,354

26,278

26,241

26,183

26,148

421,19

818

15,977

15,207

14,799

14,546

14,249

13,794

13,745

13,6913,61

513,57

713,52

13,486

5 16,258

13,274

11,392

10,672

10,289

10,051

9,77 9,338 9,2912

9,2377

9,1661

9,13 9,0754

9,0424

613,74

510,92

59,148

48,466

8,1017

7,8742

7,6057,188

57,143

27,091

47,021

86,986

76,933

56,901

5ondisaondi.wordpress.com / department of mathematics 58

712,24

69,546

57,846

77,191

46,840

16,620

16,359

5,9529

5,9084

5,8577

5,7893

5,7546

5,7024

5,6707

8 11,259

8,6491

7,0061

6,3707

6,0288

5,8143

5,5588

5,1594

5,1156

5,0654

4,9976

4,9633

4,9114

4,8799

910,56

28,021

56,422

15,801

85,467

15,256

55,005

24,610

24,566

74,516

74,449

24,415

4,3631

4,3317

10 10,044

7,5595

5,9944

5,3858

5,0567

4,8491

4,6008

4,2087

4,1653

4,1155

4,0479

4,0137

3,9618

3,9302

119,646

17,205

75,668

35,069

24,744

54,539

34,293

33,903

3,8596

3,8097

3,7421

3,7077

3,6555

3,6238

12 9,3303

6,9266

5,4119

4,8205

4,4994

4,2961

4,0517

3,6626

3,6192

3,5692

3,5014

3,4668

3,4143

3,3824

139,073

86,700

95,205

34,620

34,302

14,100

33,857

33,468

83,425

33,375

23,307

3,2723

3,2194

3,1871

14 8,8617

6,5149

5,0354

4,4558

4,14 3,9394

3,6976

3,3093

3,2657

3,2153

3,1468

3,1118

3,0585

3,026

158,683

26,358

84,893

24,318

34,004

43,804

93,563

93,175

73,131

93,081

43,012

42,977

22,923

52,890

6

16 8,5309

6,2263

4,7726

4,2016

3,8896

3,6909

3,4506

3,0622

3,0182

2,9675

2,8981

2,8627

2,8084

2,7752

178,399

86,112

14,668

94,101

53,790

93,593

13,353

32,964

62,920

42,869

42,799

72,763

92,709

22,675

7

18 8,2855

6,0129

4,579 4,0146

3,7054

3,5081

3,2689

2,8798

2,8354

2,7841

2,7139

2,6779

2,6228

2,5889

19 8,1855,925

94,500

23,938

63,630

53,433

83,194

92,805

32,760

82,709

22,638

62,602

32,546

62,512

5

20 8,096 5,849 4,4307

3,8714

3,5644

3,3682

3,1296

2,7395

2,6947

2,643 2,5719

2,5353

2,4792

2,4446

218,016

65,780

44,368

83,811

73,505

63,309

83,071

52,680

82,635

92,583

82,512

32,475

52,418

92,384

22 7,9453

5,719 4,3134

3,7583

3,453 3,2576

3,0195

2,6282

2,5831

2,5308

2,4588

2,4218

2,3646

2,3294

237,881

15,663

74,263

53,710

23,405

73,210

62,972

72,580

72,535

52,482

92,410

52,373

22,315

62,28

24 7,8229

5,6136

4,2185

3,6667

3,3629

3,1681

2,9303

2,5378

2,4923

2,4395

2,3667

2,3291

2,271 2,2351

257,769

85,568

4,1774

3,6272

3,3239

3,1294

2,8917

2,4986

2,4532,399

92,326

72,288

82,230

32,194

1

26 7,7213

5,5263

4,14 3,5911

3,2884

3,0941

2,8566

2,4628

2,417 2,3637

2,2901

2,2519

2,193 2,1564

277,676

75,488

14,105

63,558

3,2558

3,0618

2,8243

2,4299

2,3842,330

42,256

42,218

2,1586

2,1217

28 7,6357

5,4529

4,074 3,5276

3,2259

3,032 2,7946

2,3996

2,3535

2,2997

2,2253

2,1867

2,1268

2,0896

297,597

75,420

54,044

93,499

53,198

23,004

52,767

22,371

62,325

32,271

32,196

52,157

72,097

42,059

8

30 7,5624

5,3903

4,0179

3,4735

3,1726

2,9791

2,7418

2,3457

2,2992

2,245 2,1698

2,1307

2,07 2,0321

317,529

75,362

43,992

83,449

33,148

92,955

52,718

22,321

52,274

92,220

52,144

92,105

62,044

42,006

3

32 7,4992

5,3363

3,9695

3,4269

3,1267

2,9335

2,6963

2,299 2,2522

2,1976

2,1217

2,0821

2,0206

1,9821


337,470

85,312

3,9477

3,4059

3,1061

2,9132,675

82,278

2,2311

2,1763

2,0999

2,0602

1,9982

1,9594

34 7,4441

5,2893

3,9273

3,3863

3,0868

2,8938

2,6566

2,2583

2,2112

2,1562

2,0795

2,0396

1,9772

1,9381

357,419

15,267

93,908

23,367

93,068

72,875

82,638

72,239

82,192

62,137

42,060

42,020

21,957

41,918

36 7,3956

5,2479

3,8903

3,3507

3,0517

2,8589

2,6218

2,2224

2,1751

2,1197

2,0423

2,0019

1,9387

1,8991

377,373

55,229

3,8734

3,3344

3,0357

2,8431

2,6059

2,2062,158

52,103

2,0253

1,9847

1,9211

1,8812

38 7,3526

5,2112

3,8575

3,3191

3,0207

2,8281

2,5909

2,1905

2,143 2,0872

2,0092

1,9684

1,9045

1,8642

397,332

85,194

43,842

53,304

73,006

42,813

92,576

82,175

92,128

22,072

31,994 1,953

1,8887

1,8482

40 7,3142

5,1785

3,8283

3,291 2,993 2,8005

2,5634

2,1621

2,1142

2,0581

1,9795

1,9383

1,8736

1,8329

417,296

45,163

43,814

83,278

12,980

22,787

92,550

72,148

92,101

2,0447

1,9658

1,9244

1,8594

1,8183

42 7,2796

5,1491

3,8021

3,2658

2,9681

2,7758

2,5387

2,1364

2,0884

2,0319

1,9528

1,9112

1,8458

1,8045

437,263

65,135

63,789

93,254

12,956

72,764

42,527

32,124

62,076

42,019

81,940

41,898

61,832

91,791

3

44 7,2483

5,1226

3,7784

3,243 2,9457

2,7536

2,5164

2,1133

2,065 2,0083

1,9285

1,8866

1,8205

1,7786

457,233

95,110

33,767

43,232

52,935

32,743

22,506

12,102

52,054

21,997

21,917

21,875

11,808

71,766

6

46 7,22 5,0986

3,757 3,2224

2,9254

2,7334

2,4962

2,0923

2,0438

1,9867

1,9065

1,8642

1,7974

1,755

477,206

85,087

43,746

93,212

82,916 2,724

2,4868

2,0825

2,0339

1,9766

1,8961

1,8537

1,7866

1,744

48 7,1942

5,0767

3,7374

3,2036

2,9069

2,715 2,4777

2,0731

2,0244

1,967 1,8862

1,8436

1,7762

1,7333

497,182

25,066

53,728

33,194

82,898

32,706

42,469

12,064

12,015

31,957

81,876

81,834

1,7663

1,7231

50 7,1706

5,0566

3,7195

3,1864

2,89 2,6981

2,4609

2,0555

2,0066

1,949 1,8677

1,8248

1,7567

1,7133

517,159

55,047

23,711

23,178

42,882

12,690

32,453

2,0472

1,9982

1,9405

1,8591,815

91,747

51,703

9

52 7,1489

5,0382

3,7031

3,1707

2,8745

2,6827

2,4454

2,0393

1,9902

1,9323

1,8506

1,8073

1,7387

1,6948

537,138

65,029

53,695

43,163

32,867

22,675

42,438

12,031

71,982

51,924

51,842

51,799

11,730

21,686

1

54 7,1288

5,0212

3,688 3,1561

2,8602

2,6685

2,4311

2,0244

1,9751

1,917 1,8348

1,7912

1,722 1,6777

557,119

45,013

23,680

93,149

32,853

42,661

72,424

42,017

31,968

1,9097

1,8273

1,7836

1,7141

1,6695

56 7,1103

5,0055

3,674 3,1427

2,8469

2,6553

2,4179

2,0105

1,9611

1,9027

1,8201

1,7763

1,7064

1,6617

577,101

64,998

13,667

53,136

42,840

72,649

12,411

72,004

1,9545

1,8961,813

21,769

21,699

11,654

1

58 7,0931

4,991 3,6611

3,1303

2,8347

2,6431

2,4057

1,9977

1,9481

1,8895

1,8065

1,7623

1,692 1,6467


59 7,0854,984

13,655

3,1243

2,8289

2,6373

2,3999

1,9916

1,9421,883

21,8

1,7557

1,6851

1,6396

60 7,0771

4,9774

3,6491

3,1187

2,8233

2,6318

2,3943

1,9858

1,936 1,8772

1,7937

1,7493

1,6784

1,6327

617,069

54,971

3,6433

3,1132

2,8179

2,6264

2,3891,980

11,930

31,871

31,787

71,743

11,672

1,6261

62 7,0622

4,9648

3,6378

3,1079

2,8127

2,6212

2,3837

1,9746

1,9247

1,8657

1,7818

1,7372

1,6657

1,6196

637,055

14,958

83,632

53,102

82,807

62,616

22,378

71,969

31,919

31,860

21,776

21,731

41,659

71,613

4

64 7,0482

4,953 3,6273

3,0978

2,8027

2,6113

2,3738

1,9642

1,9141

1,8549

1,7707

1,7258

1,6538

1,6073

657,041

64,947

43,622

33,093 2,798

2,6066

2,3691

1,9592

1,9091

1,8498

1,7653

1,7203

1,6481

1,6014

66 7,0352

4,942 3,6175

3,0884

2,7935

2,6021

2,3646

1,9544

1,9042

1,8448

1,7602

1,715 1,6426

1,5956

677,028

94,936

73,612

93,083

92,789

2,5977

2,3601

1,9497

1,8995

1,841,755

21,709

91,637

21,590

1

68 7,0229

4,9316

3,6083

3,0795

2,7847

2,5934

2,3558

1,9452

1,8949

1,8353

1,7503

1,7049

1,632 1,5847

697,017

14,926

73,603

93,075

32,780

62,589

22,351

71,940

81,890

41,830

71,745

61,700

11,626

91,579

4

70 7,0114

4,9218

3,5997

3,0712

2,7765

2,5852

2,3477

1,9365

1,8861

1,8263

1,741 1,6954

1,622 1,5743

717,005

84,917

23,595

53,067

22,772

62,581

32,343

81,932

41,881

91,822

1,7366

1,6908

1,6172

1,5693

72 7,0005

4,9127

3,5915

3,0634

2,7688

2,5775

2,34 1,9284

1,8778

1,8179

1,7322

1,6864

1,6125

1,5644

736,995

44,908

33,587

63,059

62,765

12,573

92,336

31,924

51,873

91,813

81,728

1,6821

1,6081,559

7

74 6,9903

4,904 3,5838

3,056 2,7615

2,5703

2,3327

1,9207

1,87 1,8099

1,7239

1,6779

1,6036

1,5551

756,985

44,899

93,580

13,052

42,758

2,5668

2,3292

1,9171,866

31,806 1,72

1,6738

1,5992

1,5506

76 6,9806

4,8958

3,5765

3,049 2,7547

2,5634

2,3258

1,9134

1,8626

1,8023

1,7161

1,6698

1,595 1,5462

776,975

94,891

93,573

3,0456

2,7513

2,5602

2,3225

1,9099

1,8591,798

71,712

31,665

91,590

91,541

9

78 6,9714

4,8881

3,5697

3,0424

2,7481

2,557 2,3193

1,9065

1,8556

1,7951

1,7086

1,6621

1,5869

1,5377

79 6,9674,884

43,566

33,039

22,745

2,5538

2,3162

1,9031

1,8522

1,7917

1,7051,658

41,583

1,5336

80 6,9626

4,8807

3,5631

3,0361

2,742 2,5508

2,3131

1,8999

1,8489

1,7883

1,7015

1,6548

1,5792

1,5296

816,958

54,877

23,56

3,0331

2,7392,547

92,310

11,896

81,845

71,785

1,6981

1,6513

1,5755

1,5257

82 6,9545

4,8738

3,5569

3,0302

2,7361

2,545 2,3072

1,8937

1,8426

1,7818

1,6948

1,6479

1,5719

1,5219

836,950

54,870

43,553

93,027

32,733

32,542

22,304

41,890

71,839

61,778

71,691

51,644

51,568

31,518

2

84 6,9466

4,8672

3,551 3,0245

2,7305

2,5394

2,3017

1,8877

1,8366

1,7757

1,6883

1,6413

1,5649

1,5146


856,942

74,863

93,548

23,021

82,727

92,536

82,299

1,8849

1,8337

1,7727

1,6852

1,6381

1,5615

1,511

86 6,9391

4,8608

3,5454

3,0191

2,7252

2,5342

2,2964

1,8821

1,8308

1,7698

1,6822

1,6349

1,5582

1,5075

876,935

54,857

83,542

73,016

52,722

72,531

62,293

81,879

41,828

11,767

1,6792

1,6319

1,5549

1,5041

88 6,9319

4,8548

3,5401

3,014 2,7202

2,5291

2,2913

1,8767

1,8254

1,7642

1,6763

1,6289

1,5518

1,5008

896,928

54,851

93,537

53,011

52,717

72,526

72,288

91,874

11,822

71,761

51,673

51,626

1,5486

1,4975

90 6,9251

4,8491

3,535 3,0091

2,7154

2,5243

2,2865

1,8716

1,8201

1,7588

1,6707

1,6231

1,5456

1,4943

916,921

84,846

33,532

53,006

72,713 2,522

2,2842

1,8691

1,8176

1,7562

1,6681,620

31,542

61,491

2

92 6,9186

4,8436

3,5301

3,0044

2,7108

2,5197

2,2819

1,8667

1,8151

1,7537

1,6654

1,6176

1,5397

1,4881

936,915

54,840

93,527

83,002

22,708

52,517

52,279

71,864

31,812

71,751

21,662

81,614

91,536

91,485

1

94 6,9124

4,8383

3,5255

3 2,7064

2,5154

2,2775

1,862 1,8104

1,7488

1,6602

1,6123

1,5341

1,4822

956,909

44,835

83,523

22,997

82,704

22,513

22,275

41,859

71,808

1,7464

1,6578

1,6097

1,5313

1,4793

96 6,9065

4,8333

3,521 2,9957

2,7022

2,5112

2,2733

1,8575

1,8058

1,7441

1,6553

1,6072

1,5287

1,4764

976,903

64,830

93,518

92,993

62,700

12,509

22,271

21,855

31,803

61,741

81,652

91,604

81,526

1,4736

98 6,9008

4,8285

3,5168

2,9916

2,6981

2,5072

2,2692

1,8532

1,8014

1,7396

1,6506

1,6024

1,5234

1,4709

996,898

14,826

23,514

72,989

62,696

22,505

22,267

31,851

11,799

31,737

41,648

31,6

1,5209

1,4682

100 6,8953

4,8239

3,5127

2,9877

2,6943

2,5033

2,2654

1,849 1,7972

1,7353

1,6461

1,5977

1,5184

1,4656

125 6,8424,779

13,473

2,9495

2,6567

2,4659

2,2277

1,8086

1,756 1,6931,601

51,551

51,468

71,412

5

150 6,8069

4,7495

3,4468

2,9244

2,6319

2,4412

2,2028

1,7818

1,7286

1,6648

1,5716

1,5204

1,4347

1,3757

175 6,7824,728

53,428

22,906

52,614

32,423

72,185

21,762

71,709

11,644

61,550

21,498 1,41

1,3486

200 6,7633

4,7128

3,4143

2,8933

2,6012

2,4106

2,1721

1,7484

1,6945

1,6295

1,5341

1,4811

1,3912

1,3277

4006,698

74,658

63,366

42,847

22,555

92,365

42,126

51,698

51,643

41,576

41,477

1,4207

1,3225

1,2489

1000

6,6603

4,6264

3,338 2,82 2,529 2,3386

2,0994

1,6687

1,6127

1,5445

1,4421

1,3835

1,2784

1,1947


NILAI PERSENTIL UNTUK DISTRIBUSI F (p = 0,05) (DIHITUNG MENGGUNAKAN Ms. EXCEL DENGAN FORMULA “=FINV”)

df2df1 (pembilang)

1 2 4 6 8 10 14 34 40 50 75 100 200 500

1161,4

5199,5

224,58

233,99

238,88

241,88

245,36

250,59

251,14

251,77

252,62

253,04

253,68

254,06

2 18,513

19 19,247

19,329

19,371

19,396

19,424

19,466

19,471

19,476

19,482

19,486

19,491

19,494

310,12

89,552

19,117

28,940

78,845

28,785

58,714

98,606

28,594

48,581 8,563

8,5539

8,5402

8,532

4 7,7086

6,9443

6,3882

6,1631

6,041 5,9644

5,8733

5,7323

5,717 5,6995

5,6759

5,664 5,6461

5,6353

56,607

95,786

15,192

24,950

34,818

34,735

14,635

84,480

74,463

84,444

44,418

34,405

14,385

14,373

1

6 5,9874

5,1432

4,5337

4,2839

4,1468

4,06 3,9559

3,7923

3,7743

3,7537

3,7258

3,7117

3,6904

3,6775

75,591

54,737

44,120

33,866

3,7257

3,6365

3,5292

3,3592

3,3404

3,3189

3,2897

3,2749

3,2525

3,2389

8 5,3176

4,459 3,8379

3,5806

3,4381

3,3472

3,2374

3,0623

3,0428

3,0204

2,9901

2,9747

2,9513

2,9371

9 5,117 4,256 3,633 3,373 3,229 3,137 3,025 2,846 2,825 2,802 2,771 2,755 2,731 2,716ondisaondi.wordpress.com / department of mathematics 63

4 5 1 8 6 3 5 9 8 5 6 3 6

104,964

64,102

83,478

3,2172

3,0717

2,9782

2,8647

2,6815

2,6609

2,6371

2,6048

2,5884

2,5634

2,5481

11 4,8443

3,9823

3,3567

3,0946

2,948 2,8536

2,7386

2,552 2,5309

2,5066

2,4734

2,4566

2,4308

2,4151

124,747

23,885

33,259

22,996

12,848

62,753

42,637

12,447

42,425

92,401

2,3671

2,3498

2,3233

2,3071

13 4,6672

3,8056

3,1791

2,9153

2,7669

2,671 2,5536

2,3611

2,3392

2,3138

2,2791

2,2614

2,2343

2,2176

144,600

13,738

93,112

22,847

72,698

72,602

22,483

72,288

72,266

32,240

52,205

12,187

2,1592

2,1422

15 4,5431

3,6823

3,0556

2,7905

2,6408

2,5437

2,4244

2,227 2,2043

2,178 2,1419

2,1234

2,095 2,0776

16 4,4943,633

73,006

92,741

32,591

12,493

52,373

32,173

72,150

72,124

2,0873

2,0685

2,0395

2,0217

17 4,4513

3,5915

2,9647

2,6987

2,548 2,4499

2,329 2,1274

2,104 2,0769

2,0396

2,0204

1,9909

1,9727

184,413

93,554

62,927

72,661

32,510

22,411

72,29

2,0865

2,0629

2,0354

1,9975

1,9781,947

91,929

4

19 4,3808

3,5219

2,8951

2,6283

2,4768

2,3779

2,2556

2,0504

2,0264

1,9986

1,9601

1,9403

1,9097

1,8909

204,351

33,492

82,866

12,599

2,4471

2,3479

2,225 2,0181,993

81,965

61,926

71,906

61,875

51,856

3

21 4,3248

3,4668

2,8401

2,5727

2,4205

2,321 2,1975

1,989 1,9645

1,936 1,8965

1,8761

1,8446

1,825

224,300

93,443

42,816

72,549

12,396

52,296

72,172

71,962

71,938

1,9092

1,8692

1,8486

1,8165

1,7966

23 4,2793

3,4221

2,7955

2,5277

2,3748

2,2747

2,1502

1,9389

1,9139

1,8848

1,8444

1,8234

1,7909

1,7708

244,259

73,402

82,776

32,508

22,355

12,254

72,129

81,917

11,892

1,8625

1,8217

1,8005

1,7675

1,747

25 4,2417

3,3852

2,7587

2,4904

2,3371

2,2365

2,1111

1,8972

1,8718

1,8421

1,8008

1,7794

1,746 1,7252

264,225

23,369

2,7426

2,4741

2,3205

2,2197

2,0939

1,8789

1,8533

1,8233

1,7816

1,7599

1,7261

1,705

27 4,21 3,3541

2,7278

2,4591

2,3053

2,2043

2,0781

1,8619

1,8361

1,8059

1,7638

1,7419

1,7077

1,6863

28 4,1963,340

42,714

12,445

32,291

32,19

2,0635

1,8462

1,8203

1,7898

1,7473

1,7251

1,6905

1,6689

29 4,183 3,3277

2,7014

2,4324

2,2782

2,1768

2,05 1,8317

1,8055

1,7748

1,732 1,7096

1,6746

1,6527

304,170

93,315

82,689

62,420

52,266

22,164

62,037

41,818

11,791

81,760

91,717

61,695

1,6597

1,6375

31 4,1596

3,3048

2,6787

2,4094

2,2549

2,1532

2,0257

1,8055

1,779 1,7478

1,7043

1,6814

1,6457

1,6233

324,149

13,294

52,668

42,399

12,244

42,142

52,014

71,793

61,767

1,7356

1,6917

1,6687

1,6326

1,6099

33 4,1393

3,2849

2,6589

2,3894

2,2346

2,1325

2,0045

1,7825

1,7557

1,7241

1,6799

1,6567

1,6202

1,5973

34 4,133,275

92,649

92,380

32,225

32,123

11,994

91,772

11,745

11,713

41,668

81,645

41,608

61,585

435 4,121 3,267 2,641 2,371 2,216 2,114 1,985 1,762 1,735 1,703 1,658 1,634 1,597 1,574


3 4 5 8 7 3 8 2 1 2 3 7 6 2

364,113

23,259

42,633

52,363

72,208

52,106

11,977

31,753

1,7257

1,6936

1,6484

1,6246

1,5872

1,5635

37 4,1055

3,2519

2,6261

2,3562

2,2008

2,0982

1,9692

1,7442

1,7168

1,6845

1,639 1,6151

1,5773

1,5534

384,098

23,244

82,619 2,349

2,1936

2,0909

1,9616

1,7359

1,7084

1,6759

1,6301

1,6061,567

91,543

8

39 4,0913

3,2381

2,6123

2,3423

2,1867

2,0839

1,9545

1,728 1,7004

1,6678

1,6217

1,5974

1,559 1,5347

404,084

73,231

72,606

2,3359

2,1802

2,0773

1,9476

1,7206

1,6928

1,661,613

71,589

21,550

51,526

41 4,0785

3,2257

2,6 2,3298

2,174 2,071 1,9412

1,7135

1,6856

1,6526

1,6061

1,5814

1,5424

1,5176

424,072

73,219

92,594

32,324

2,1681

2,065 1,9351,706

71,678

71,645

61,598

81,574

1,5347

1,5097

43 4,067 3,2145

2,5888

2,3185

2,1625

2,0593

1,9292

1,7003

1,6722

1,6389

1,5918

1,5669

1,5273

1,5021

444,061

73,209

32,583

72,313

32,157

22,053

91,923

61,694

11,665

91,632

51,585

21,560

11,520

31,494

8

45 4,0566

3,2043

2,5787

2,3083

2,1521

2,0487

1,9182

1,6883

1,6599

1,6264

1,5789

1,5536

1,5135

1,4879

464,051

73,199

62,574

2,3035

2,1473

2,0438

1,9132

1,6827

1,6542

1,6206

1,5728

1,5474

1,5071,481

2

47 4,0471

3,1951

2,5695

2,299 2,1427

2,0391

1,9083

1,6773

1,6488

1,615 1,5669

1,5414

1,5008

1,4747

484,042

63,190

72,565

22,294

62,138

22,034

61,903

71,672

11,643

51,609

61,561

41,535

71,494

81,468

6

49 4,0384

3,1866

2,5611

2,2904

2,134 2,0303

1,8992

1,6672

1,6385

1,6044

1,556 1,5302

1,489 1,4626

504,034

33,182

62,557

22,286

42,129

92,026

11,894

91,662

51,633

71,599

51,550

81,524

91,483

51,456

9

51 4,0304

3,1788

2,5534

2,2826

2,126 2,0222

1,8908

1,6579

1,629 1,5947

1,5459

1,5198

1,4782

1,4514

524,026

63,175

12,549

82,278

92,122

32,018

41,886

91,653

61,624

61,590

21,541

11,514

91,473

1,4461

53 4,023 3,1716

2,5463

2,2754

2,1187

2,0147

1,8831

1,6494

1,6203

1,5858

1,5365

1,5102

1,4681

1,4409

544,019

53,168

22,542

92,272

2,1152

2,0112

1,8795

1,6453

1,6162

1,5815

1,5321

1,5056

1,4633

1,4359

55 4,0162

3,165 2,5397

2,2687

2,1119

2,0078

1,876 1,6414

1,6122

1,5774

1,5278

1,5013

1,4587

1,4311

56 4,0133,161

92,536

62,265

62,108

72,004

51,872

61,637

71,608

41,573

51,523

71,497

1,4542

1,4265

57 4,0099

3,1588

2,5336

2,2625

2,1056

2,0014

1,8693

1,634 1,6046

1,5697

1,5197

1,4929

1,4499

1,422

584,006

93,155

92,530

72,259

62,102

61,998

31,866

21,630

51,601

11,566

1,5158

1,4889

1,4457

1,4176

59 4,004 3,1531

2,5279

2,2568

2,0997

1,9954

1,8632

1,6271

1,5976

1,5624

1,5121

1,4851

1,4416

1,4134

604,001

23,150

42,525

22,254

12,097

1,9926

1,8602

1,6239

1,5943

1,5591,508

51,481

41,437

71,409

361 3,998 3,147 2,522 2,251 2,094 1,989 1,857 1,620 1,591 1,555 1,505 1,477 1,433 1,405


5 8 6 4 3 9 4 7 7 8 9 4

623,995

93,145

32,520

12,248

92,091

71,987

21,854

71,617

61,587

91,552

51,501

61,474

31,430

21,401

5

63 3,9934

3,1428

2,5177

2,2464

2,0892

1,9847

1,852 1,6147

1,5849

1,5493

1,4983

1,4709

1,4266

1,3978

643,990

93,140

42,515

32,244

2,0868

1,9822

1,8495

1,6118

1,5819

1,5463

1,4952

1,4676

1,4232

1,3941

65 3,9886

3,1381

2,513 2,2417

2,0844

1,9798

1,847 1,609 1,5791

1,5434

1,4921

1,4645

1,4198

1,3906

663,986

33,135

92,510

82,239

52,082

11,977

51,844

61,606

31,576

31,540

51,489

11,461

41,416

51,387

2

67 3,984 3,1338

2,5087

2,2373

2,0799

1,9752

1,8423

1,6037

1,5737

1,5378

1,4862

1,4584

1,4133

1,3838

683,981

93,131

72,506

62,235

22,077

81,973 1,84

1,6012

1,5711

1,5351

1,4834

1,4554

1,4102

1,3806

69 3,9798

3,1296

2,5046

2,2332

2,0757

1,9709

1,8378

1,5987

1,5685

1,5325

1,4806

1,4526

1,4072

1,3774

703,977

83,127

72,502

72,231

22,073

71,968

91,835

71,596

31,566

11,53

1,4779

1,4498

1,4042

1,3743

71 3,9758

3,1258

2,5008

2,2293

2,0717

1,9669

1,8336

1,594 1,5637

1,5275

1,4753

1,4472

1,4014

1,3713

723,973

93,123

92,498

92,227

42,069

81,964

91,831

61,591

71,561

41,525

11,472

81,444

51,398

61,368

3

73 3,972 3,1221

2,4971

2,2256

2,068 1,9631

1,8297

1,5895

1,5591

1,5228

1,4704

1,442 1,3959

1,3655

743,970

23,120

32,495

42,223

82,066

21,961

21,827

81,587

31,556

91,520

51,468

1,4395

1,3932

1,3627

75 3,9685

3,1186

2,4937

2,2221

2,0644

1,9594

1,8259

1,5853

1,5548

1,5183

1,4656

1,4371

1,3906

1,36

763,966

83,117

2,4921

2,2204

2,0627

1,9577

1,8241

1,5832

1,5527

1,5161

1,4633

1,4347

1,3881

1,3573

77 3,9651

3,1154

2,4904

2,2188

2,0611

1,956 1,8224

1,5812

1,5507

1,514 1,4611

1,4324

1,3856

1,3547

783,963

53,113

82,488

92,217

22,059

51,954

41,820

71,579

31,548

71,512 1,459

1,4302

1,3832

1,3521

79 3,9619

3,1123

2,4874

2,2157

2,0579

1,9528

1,819 1,5774

1,5468

1,51 1,4569

1,428 1,3809

1,3497

803,960

43,110

82,485

92,214

22,056

41,951

21,817

41,575

61,544

91,508

11,454

81,425

91,378

61,347

2

81 3,9589

3,1093

2,4844

2,2127

2,0549

1,9497

1,8158

1,5738

1,5431

1,5062

1,4528

1,4238

1,3763

1,3449

823,957

43,107

92,483

2,2113

2,0534

1,9482

1,8143

1,5721

1,5413

1,5043

1,4508

1,4217

1,3741

1,3425

83 3,956 3,1065

2,4817

2,2099

2,052 1,9468

1,8128

1,5704

1,5395

1,5025

1,4489

1,4197

1,372 1,3403

843,954

63,105

22,480

32,208

62,050

61,945

41,811

31,568

71,537

81,500

71,447

1,4178

1,3699

1,338

85 3,9532

3,1038

2,479 2,2072

2,0493

1,944 1,8099

1,5671

1,5361

1,499 1,4452

1,4159

1,3678

1,3359

863,951

93,102

62,477

72,205

92,048

1,9426

1,8085

1,5655

1,5345

1,4973

1,4434

1,4141,365

81,333

787 3,950 3,101 2,476 2,204 2,046 1,941 1,807 1,563 1,532 1,495 1,441 1,412 1,363 1,331


6 3 5 7 7 3 1 9 9 7 7 2 9 6

883,949

33,100

12,475

32,203

42,045

41,94

1,8058

1,5624

1,5314

1,4941

1,441,410

41,362

1,3296

89 3,9481

3,0989

2,4741

2,2022

2,0442

1,9388

1,8045

1,5609

1,5299

1,4925

1,4383

1,4087

1,3601

1,3276

903,946

93,097

72,472

92,201

12,043

1,9376

1,8032

1,5595

1,5284

1,4911,436

61,407

1,3582

1,3256

91 3,9457

3,0966

2,4718

2,1999

2,0418

1,9364

1,802 1,5581

1,5269

1,4895

1,435 1,4053

1,3564

1,3237

923,944

53,095

42,470

72,198

82,040

71,935

21,800

71,556

71,525

51,488

1,4335

1,4037

1,3546

1,3218

93 3,9434

3,0943

2,4696

2,1977

2,0395

1,9341

1,7996

1,5553

1,5241

1,4865

1,4319

1,4021

1,3529

1,3199

943,942

33,093

32,468

52,196

62,038

41,932

91,798

41,554

1,5227

1,4851

1,4304

1,4005

1,3512

1,3181

95 3,9412

3,0922

2,4675

2,1955

2,0374

1,9318

1,7973

1,5527

1,5214

1,4837

1,4289

1,399 1,3495

1,3163

963,940

23,091

22,466

52,194

52,036

31,930

81,796

11,551

41,520

11,482

41,427

51,397

51,347

91,314

6

97 3,9391

3,0902

2,4655

2,1935

2,0353

1,9297

1,7951

1,5502

1,5188

1,4811

1,4261

1,396 1,3463

1,3129

983,938

13,089

22,464

52,192

52,034

31,928

71,794 1,549

1,5176

1,4798

1,4247

1,3945

1,3447

1,3112

99 3,9371

3,0882

2,4636

2,1915

2,0333

1,9277

1,7929

1,5478

1,5163

1,4785

1,4233

1,3931

1,3432

1,3095

1003,936

23,087

32,462

62,190

62,032

31,926

71,791

91,546

61,515

11,477

21,422

1,3917

1,3416

1,3079

125 3,9169

3,0687

2,4442

2,1719

2,0133

1,9072

1,7717

1,5234

1,4912

1,4524

1,3953

1,3638

1,311 1,2748

1503,904

23,056

42,432

2,1595

2,0006

1,8943

1,7582

1,5078

1,4752

1,4357

1,3773

1,3448

1,2899

1,2516

175 3,8951

3,0476

2,4233

2,1507

1,9916

1,8851

1,7487

1,4967

1,4637

1,4237

1,3643

1,3311

1,2745

1,2344

2003,888

43,041

12,416

82,144

11,984

91,878

31,741

51,488

41,455

11,414

61,354

51,320

61,262

61,221

1

400 3,8648

3,0183

2,3943

2,1212

1,9616

1,8544

1,7166

1,459 1,4247

1,3827

1,3193

1,2831

1,2189

1,17

1000

3,8508

3,0047

2,3808

2,1076

1,9476

1,8402

1,7017

1,4413

1,4063

1,3632

1,2976

1,2596

1,1903

1,1342


NILAI PERSENTIL UNTUK DISTRIBUSI χ2

(DIHITUNG MENGGUNAKAN Ms. EXCEL DENGAN FORMULA “=CHIINV”)

dfα

0,005 0,01 0,025 0,05 0,1 0,25 0,5 0,75 0,9 0,95 0,975 0,99 0,995

17,879

46,634

95,023

93,841

52,705

51,323

30,454

90,101

50,015

80,003

90,001

0,0002

0,0000

2 10,597

9,2104

7,3778

5,9915

4,6052

2,7726

1,3863

0,5754

0,2107

0,1026

0,0506

0,0201

0,01

312,83

811,34

59,348

47,814

76,251

44,108

32,366

1,2125

0,5844

0,3518

0,2158

0,1148

0,0717

4 14,86 13,277

11,143

9,4877

7,7794

5,3853

3,3567

1,9226

1,0636

0,7107

0,4844

0,2971

0,207

5 16,7515,08

612,83

211,07

9,2363

6,6257

4,3515

2,6746

1,6103

1,1455

0,8312

0,5543

0,4118

6 18,548

16,812

14,449

12,592

10,645

7,8408

5,3481

3,4546

2,2041

1,6354

1,2373

0,8721

0,6757

720,27

818,47

516,01

314,06

712,01

79,037

16,345

84,254

92,833

12,167

31,689

91,239

0,9893

8 21,955

20,09 17,535

15,507

13,362

10,219

7,3441

5,0706

3,4895

2,7326

2,1797

1,6465

1,3444

923,58

921,66

619,02

316,91

914,68

411,38

98,342

85,898

84,168

23,325

12,700

42,087

91,734

910 25,18 23,20 20,48 18,30 15,98 12,54 9,341 6,737 4,865 3,940 3,247 2,558 2,155


8 9 3 7 7 9 8 2 2 3 2 8

1126,75

724,72

521,92

19,675

17,275

13,701

10,341

7,5841

5,5778

4,5748

3,8157

3,0535

2,6032

12 28,3 26,217

23,337

21,026

18,549

14,845

11,34 8,4384

6,3038

5,226 4,4038

3,5706

3,0738

1329,81

927,68

824,73

622,36

219,81

215,98

412,34

9,2991

7,0415

5,8919

5,0087

4,1069

3,565

14 31,319

29,141

26,119

23,685

21,064

17,117

13,339

10,165

7,7895

6,5706

5,6287

4,6604

4,0747

1532,80

130,57

827,48

824,99

622,30

718,24

514,33

911,03

78,546

87,260

96,262

15,229

44,600

9

16 34,267

32 28,845

26,296

23,542

19,369

15,338

11,912

9,3122

7,9616

6,9077

5,8122

5,1422

1735,71

833,40

930,19

127,58

724,76

920,48

916,33

812,79

210,08

58,671

87,564

26,407

75,697

3

18 37,156

34,805

31,526

28,869

25,989

21,605

17,338

13,675

10,865

9,3904

8,2307

7,0149

6,2648

1938,58

236,19

132,85

230,14

427,20

422,71

818,33

814,56

211,65

110,11

78,906

57,632

76,843

9

20 39,997

37,566

34,17 31,41 28,412

23,828

19,337

15,452

12,443

10,851

9,5908

8,2604

7,4338

2141,40

138,93

235,47

932,67

129,61

524,93

520,33

716,34

413,24

11,591

10,283

8,8972

8,0336

22 42,796

40,289

36,781

33,924

30,813

26,039

21,337

17,24 14,041

12,338

10,982

9,5425

8,6427

2344,18

141,63

838,07

635,17

232,00

727,14

122,33

718,13

714,84

813,09

111,68

910,19

69,260

4

24 45,558

42,98 39,364

36,415

33,196

28,241

23,337

19,037

15,659

13,848

12,401

10,856

9,8862

2546,92

844,31

440,64

637,65

234,38

229,33

924,33

719,93

916,47

314,61

113,12

11,524

10,52

26 48,29 45,642

41,923

38,885

35,563

30,435

25,336

20,843

17,292

15,379

13,844

12,198

11,16

2749,64

546,96

343,19

540,11

336,74

131,52

826,33

621,74

918,11

416,15

114,57

312,87

811,80

8

28 50,994

48,278

44,461

41,337

37,916

32,62 27,336

22,657

18,939

16,928

15,308

13,565

12,461

2952,33

549,58

845,72

242,55

739,08

733,71

128,33

623,56

719,76

817,70

816,04

714,25

613,12

1

30 53,672

50,892

46,979

43,773

40,256

34,8 29,336

24,478

20,599

18,493

16,791

14,953

13,787

3155,00

252,19

148,23

244,98

541,42

235,88

730,33

625,39

21,434

19,281

17,539

15,655

14,458

32 56,328

53,486

49,48 46,194

42,585

36,973

31,336

26,304

22,271

20,072

18,291

16,362

15,134

3357,64

854,77

550,72

547,4

43,745

38,058

32,336

27,219

23,1120,86

719,04

717,07

315,81

5

34 58,964

56,061

51,966

48,602

44,903

39,141

33,336

28,136

23,952

21,664

19,806

17,789

16,501

3560,27

557,34

253,20

349,80

246,05

940,22

334,33

629,05

424,79

722,46

520,56

918,50

917,19

236 61,58 58,61 54,43 50,99 47,21 41,30 35,33 29,97 25,64 23,26 21,33 19,23 17,88


1 9 7 8 2 4 6 3 3 9 6 3 7

3762,88

359,89

355,66

852,19

248,36

342,38

336,33

630,89

326,49

224,07

522,10

619,96

18,586

38 64,181

61,162

56,895

53,384

49,513

43,462

37,335

31,815

27,343

24,884

22,878

20,691

19,289

3965,47

562,42

858,12

54,572

50,6644,53

938,33

532,73

728,19

625,69

523,65

421,42

619,99

6

40 66,766

63,691

59,342

55,758

51,805

45,616

39,335

33,66 29,051

26,509

24,433

22,164

20,707

4168,05

364,95

60,561

56,942

52,949

46,692

40,335

34,585

29,907

27,326

25,215

22,906

21,421

42 69,336

66,206

61,777

58,124

54,09 47,766

41,335

35,51 30,765

28,144

25,999

23,65 22,138

4370,61

667,45

962,99

59,304

55,23 48,8442,33

536,43

631,62

528,96

526,78

524,39

822,86

44 71,892

68,71 64,201

60,481

56,369

49,913

43,335

37,363

32,487

29,787

27,575

25,148

23,584

4573,16

669,95

765,41

61,656

57,505

50,985

44,335

38,291

33,3530,61

228,36

625,90

124,31

1

46 74,437

71,201

66,616

62,83 58,641

52,056

45,335

39,22 34,215

31,439

29,16 26,657

25,041

4775,70

472,44

367,82

164,00

159,77

453,12

746,33

540,14

935,08

132,26

829,95

627,41

625,77

5

48 76,969

73,683

69,023

65,171

60,907

54,196

47,335

41,079

35,949

33,098

30,754

28,177

26,511

4978,23

174,91

970,22

266,33

962,03

855,26

548,33

542,01

36,818

33,9331,55

528,94

127,24

9

50 79,49 76,154

71,42 67,505

63,167

56,334

49,335

42,942

37,689

34,764

32,357

29,707

27,991

5180,74

677,38

672,61

668,66

964,29

557,40

150,33

543,87

438,56 35,6

33,162

30,475

28,735

52 82,001

78,616

73,81 69,832

65,422

58,468

51,335

44,807

39,433

36,437

33,968

31,246

29,481

5383,25

379,84

375,00

270,99

366,54

859,53

452,33

545,74

140,30

837,27

634,77

632,01

930,23

54 84,502

81,069

76,192

72,153

67,673

60,6 53,335

46,676

41,183

38,116

35,586

32,793

30,981

5585,74

982,29

277,38

73,311

68,796

61,665

54,335

47,61 42,0638,95

836,39

833,57

131,73

5

56 86,994

83,514

78,567

74,468

69,919

62,729

55,335

48,546

42,937

39,801

37,212

34,35 32,491

5788,23

784,73

379,75

275,62

471,04

63,793

56,335

49,482

43,816

40,646

38,027

35,131

33,248

58 89,477

85,95 80,936

76,778

72,16 64,857

57,335

50,419

44,696

41,492

38,844

35,914

34,008

5990,71

587,16

682,11

777,93

73,279

65,919

58,335

51,356

45,577

42,339

39,662

36,698

34,77

60 91,952

88,379

83,298

79,082

74,397

66,981

59,335

52,294

46,459

43,188

40,482

37,485

35,534

6193,18

689,59

184,47

680,23

275,51

468,04

360,33

553,23

247,34

244,03

841,30

338,27

336,3


6294,41

990,80

285,65

481,38

176,63

69,104

61,335

54,171

48,226

44,889

42,126

39,063

37,068

63 95,649

92,01 86,83 82,529

77,745

70,165

62,335

55,11 49,111

45,741

42,95 39,855

37,838

6496,87

893,21

788,00

483,67

578,86

71,225

63,335

56,0549,99

646,59

543,77

640,64

938,61

65 98,105

94,422

89,177

84,821

79,973

72,285

64,335

56,99 50,883

47,45 44,603

41,444

39,383

66 99,3395,62

690,34

985,96

581,08

573,34

465,33

557,93

151,77

48,305

45,431

42,2440,15

8

67 100,55

96,828

91,519

87,108

82,197

74,403

66,335

58,872

52,659

49,162

46,261

43,038

40,935

68101,7

898,02

892,68

888,25

83,308

75,461

67,335

59,814

53,548

50,0247,09

243,83

841,71

4

69 103 99,227

93,856

89,391

84,418

76,519

68,334

60,756

54,438

50,879

47,924

44,639

42,493

70104,2

1100,4

395,02

390,53

185,52

777,57

769,33

461,69

855,32

951,73

948,75

845,44

243,27

5

71 105,43

101,62

96,189

91,67 86,635

78,634

70,334

62,641

56,221

52,6 49,592

46,246

44,058

72106,6

5102,8

297,35

392,80

887,74

379,69

71,334

63,585

57,113

53,462

50,428

47,051

44,843

73 107,86

104,01

98,516

93,945

88,85 80,747

72,334

64,528

58,006

54,325

51,265

47,858

45,629

74109,0

7105,2

99,678

95,081

89,956

81,803

73,334

65,472

58,955,18

952,10

348,66

646,41

7

75 110,29

106,39

100,84

96,217

91,061

82,858

74,334

66,417

59,795

56,054

52,942

49,475

47,206

76 111,5107,5

8102

97,351

92,166

83,913

75,334

67,362

60,69 56,9253,78

250,28

647,99

6

77 112,7 108,77

103,16

98,484

93,27 84,968

76,334

68,307

61,586

57,786

54,623

51,097

48,788

78113,9

1109,9

6104,3

299,61

794,37

486,02

277,33

469,25

262,48

358,65

455,46

651,91

49,581

79 115,12

111,14

105,47

100,75

95,476

87,077

78,334

70,198

63,38 59,522

56,309

52,725

50,376

80116,3

2112,3

3106,6

3101,8

896,57

888,13

79,334

71,145

64,278

60,391

57,153

53,5451,17

2

81 117,52

113,51

107,78

103,01

97,68 89,184

80,334

72,091

65,176

61,262

57,998

54,357

51,969

82118,7

3114,6

9108,9

4104,1

498,78

90,237

81,334

73,038

66,076

62,132

58,845

55,174

52,767

83 119,93

115,88

110,09

105,27

99,88 91,289

82,334

73,985

66,976

63,004

59,692

55,993

53,567

84121,1

3117,0

6111,2

4106,3

9100,9

892,34

283,33

474,93

367,87

663,87

660,54

56,813

54,368

85 122,32

118,24

112,39

107,52

102,08

93,394

84,334

75,881

68,777

64,749

61,389

57,634

55,17

86123,5

2119,4

1113,5

4108,6

5103,1

894,44

685,33

476,82

969,67

965,62

362,23

958,45

655,97

3

87 124,72

120,59

114,69

109,77

104,28

95,497

86,334

77,777

70,581

66,498

63,089

59,279

56,777


88125,9

1121,7

7115,8

4110,9

105,37

96,548

87,334

78,726

71,484

67,373

63,941

60,103

57,582

89 127,11

122,94

116,99

112,02

106,47

97,599

88,334

79,675

72,387

68,249

64,793

60,928

58,389

90 128,3124,1

2118,1

4113,1

5107,5

798,65

89,334

80,625

73,291

69,126

65,647

61,754

59,196

91 129,49

125,29

119,28

114,27

108,66

99,7 90,334

81,574

74,196

70,003

66,501

62,581

60,005

92130,6

8126,4

6120,4

3115,3

9109,7

6100,7

591,33

482,52

475,1

70,882

67,356

63,409

60,815

93 131,87

127,63

121,57

116,51

110,85

101,8 92,334

83,474

76,006

71,76 68,211

64,238

61,625

94133,0

6128,8

122,72

117,63

111,94

102,85

93,334

84,425

76,912

72,6469,06

865,06

862,43

7

95 134,25

129,97

123,86

118,75

113,04

103,9 94,334

85,376

77,818

73,52 69,925

65,898

63,25

96135,4

3131,1

4125

119,87

114,13

104,95

95,334

86,327

78,725

74,401

70,783

66,7364,06

3

97 136,62

132,31

126,14

120,99

115,22

106 96,334

87,278

79,633

75,282

71,642

67,562

64,878

98 137,8133,4

8127,2

8122,1

1116,3

2107,0

597,33

488,22

980,54

176,16

472,50

168,39

665,69

3

99 138,99

134,64

128,42

123,23

117,41

108,09

98,334

89,181

81,449

77,046

73,361

69,23 66,51

100140,1

7135,8

1129,5

6124,3

4118,5

109,14

99,334

90,133

82,358

77,929

74,222

70,065

67,328


NILAI KRITIS L UNTUK UJI LILIEFORS

nTaraf Nyata (α )

0,01 0,05 0,1 0,15 0,24 0,417 0,381 0,352 0,319 0,35 0,405 0,337 0,315 0,299 0,2856 0,364 0,319 0,294 0,277 0,2657 0,348 0,3 0,276 0,258 0,2478 0,331 0,285 0,261 0,244 0,2339 0,311 0,271 0,249 0,233 0,223

10 0,294 0,258 0,239 0,224 0,21511 0,284 0,249 0,23 0,217 0,20612 0,275 0,242 0,223 0,212 0,19913 0,268 0,234 0,214 0,202 0,1914 0,261 0,227 0,207 0,194 0,18315 0,257 0,22 0,201 0,187 0,17716 0,25 0,213 0,195 0,182 0,17317 0,245 0,206 0,289 0,177 0,16918 0,239 0,2 0,184 0,173 0,16619 0,235 0,195 0,179 0,169 0,16320 0,231 0,19 0,174 0,166 0,1625 0,2 0,173 0,158 0,147 0,14230 0,187 0,161 0,144 0,136 0,131

n > 30 1,031/√ n 0,886/√ n 0,805/√ n 0,768/√ n 0,736/√ n

Sumber : Sudjana. 1992. METODA STATISTIKA. TARSITO : BANDUNG


BATAS NILAI KRITIS UNTUK UJI KORELASI BERDASARKAN KOEFISIEN KORELASI RANK

nNilai Kritis untuk Taraf Nyata (α)

0,01 0,05

4 - 1

5 1 0,9

6 0,943 0,829

7 0,893 0,714

8 0,833 0,643

9 0,783 0,6

10 0,746 0,564

12 0,701 0,504

14 0,645 0,456

16 0,601 0,425

18 0,564 0,399

20 0,534 0,377

22 0,508 0,359

24 0,485 0,343

26 0,465 0,329

28 0,448 0,317

30 0,432 0,306


Sumber : Sudjana. 1992. METODA STATISTIKA. Tarsito : Bandung.

NILAI KRITIS h UNTUK UJI TANDA

nALPHA

nALPHA

nALPHA

0,01 0,05 0,01 0,05 0,01 0,056 - 0 36 9 11 66 22 247 - 0 37 10 12 67 22 258 0 0 38 10 12 68 22 259 0 1 39 11 12 69 23 25

10 0 1 40 11 13 70 23 2611 0 1 41 11 13 71 24 2612 1 2 42 12 14 72 24 2713 1 2 43 12 14 73 25 2714 1 2 44 13 15 74 25 2815 2 3 45 13 15 75 25 2816 2 3 46 13 15 76 26 2817 2 4 47 14 16 77 26 2918 3 4 48 14 16 78 27 2919 3 4 49 15 17 79 27 3020 3 5 50 15 17 80 28 3021 4 5 51 15 18 81 28 3122 4 5 52 16 18 82 28 3123 4 6 53 16 18 83 29 3224 5 6 54 17 19 84 29 3225 5 7 55 17 19 85 30 3226 6 7 56 17 20 86 30 3327 6 7 57 18 20 87 31 3328 6 8 58 18 21 88 31 3429 7 8 59 19 21 89 31 3430 7 9 60 19 21 90 32 3531 7 9 61 20 22 91 32 3532 8 9 62 20 22 92 33 3633 8 10 63 20 23 93 33 36


34 9 10 64 21 23 94 34 3735 9 11 65 21 24 95 34 37


NILAI – NILAI FUNGSI DISTRIBUSI KUMULATIF BINOMIAL(DIHITUNG MENGGUNAKAN Ms. EXCEL DENGAN FORMULA “=BINOMDIST”)

( ) ( ) ( ) xxnc

xxn ppCcXPcF −

=

−=≤= ∑ 10

Contoh : Jika p = 0,05, n = 5, c = 0 , maka F(0) = P (X ≤ 0) = 0,7738

n cp

0,05 0,1 0,15 0,2 0,25 0,3 0,35 0,4 0,45 0,5

20 0,9025 0,81 0,7225 0,64 0,5625 0,49 0,4225 0,36 0,3025 0,251 0,9975 0,99 0,9775 0,96 0,9375 0,91 0,8775 0,84 0,7975 0,75

3

0 0,8574 0,729 0,6141 0,512 0,4219 0,343 0,2746 0,216 0,1664 0,1251 0,9928 0,972 0,9393 0,896 0,8438 0,784 0,7183 0,648 0,5748 0,52 0,9999 0,999 0,9966 0,992 0,9844 0,973 0,9571 0,936 0,9089 0,875

4

0 0,8145 0,6561 0,522 0,4096 0,3164 0,2401 0,1785 0,1296 0,0915 0,06251 0,986 0,9477 0,8905 0,8192 0,7383 0,6517 0,563 0,4752 0,391 0,31252 0,9995 0,9963 0,988 0,9728 0,9492 0,9163 0,8735 0,8208 0,7585 0,68753 1 0,9999 0,9995 0,9984 0,9961 0,9919 0,985 0,9744 0,959 0,9375

5 0 0,7738 0,5905 0,4437 0,3277 0,2373 0,1681 0,116 0,0778 0,0503 0,0313

1 0,9774 0,9185 0,8352 0,7373 0,6328 0,5282 0,4284 0,337 0,2562 0,18752 0,9988 0,9914 0,9734 0,9421 0,8965 0,8369 0,7648 0,6826 0,5931 0,53 1 0,9995 0,9978 0,9933 0,9844 0,9692 0,946 0,913 0,8688 0,81254 1 1 0,9999 0,9997 0,999 0,9976 0,9947 0,9898 0,9815 0,9688


6

0 0,7351 0,5314 0,3771 0,2621 0,178 0,1176 0,0754 0,0467 0,0277 0,01561 0,9672 0,8857 0,7765 0,6554 0,5339 0,4202 0,3191 0,2333 0,1636 0,10942 0,9978 0,9842 0,9527 0,9011 0,8306 0,7443 0,6471 0,5443 0,4415 0,34383 0,9999 0,9987 0,9941 0,983 0,9624 0,9295 0,8826 0,8208 0,7447 0,65634 1 0,9999 0,9996 0,9984 0,9954 0,9891 0,9777 0,959 0,9308 0,8906

5 1 1 1 0,9999 0,9998 0,9993 0,9982 0,9959 0,9917 0,9844

7

0 0,6983 0,4783 0,3206 0,2097 0,1335 0,0824 0,049 0,028 0,0152 0,00781 0,9556 0,8503 0,7166 0,5767 0,4449 0,3294 0,2338 0,1586 0,1024 0,06252 0,9962 0,9743 0,9262 0,852 0,7564 0,6471 0,5323 0,4199 0,3164 0,22663 0,9998 0,9973 0,9879 0,9667 0,9294 0,874 0,8002 0,7102 0,6083 0,54 1 0,9998 0,9988 0,9953 0,9871 0,9712 0,9444 0,9037 0,8471 0,7734

5 1 1 0,9999 0,9996 0,9987 0,9962 0,991 0,9812 0,9643 0,93756 1 1 1 1 0,9999 0,9998 0,9994 0,9984 0,9963 0,9922

8

0 0,6634 0,4305 0,2725 0,1678 0,1001 0,0576 0,0319 0,0168 0,0084 0,00391 0,9428 0,8131 0,6572 0,5033 0,3671 0,2553 0,1691 0,1064 0,0632 0,03522 0,9942 0,9619 0,8948 0,7969 0,6785 0,5518 0,4278 0,3154 0,2201 0,14453 0,9996 0,995 0,9786 0,9437 0,8862 0,8059 0,7064 0,5941 0,477 0,36334 1 0,9996 0,9971 0,9896 0,9727 0,942 0,8939 0,8263 0,7396 0,6367

5 1 1 0,9998 0,9988 0,9958 0,9887 0,9747 0,9502 0,9115 0,85556 1 1 1 0,9999 0,9996 0,9987 0,9964 0,9915 0,9819 0,96487 1 1 1 1 1 0,9999 0,9998 0,9993 0,9983 0,9961

9

0 0,6302 0,3874 0,2316 0,1342 0,0751 0,0404 0,0207 0,0101 0,0046 0,0021 0,9288 0,7748 0,5995 0,4362 0,3003 0,196 0,1211 0,0705 0,0385 0,01952 0,9916 0,947 0,8591 0,7382 0,6007 0,4628 0,3373 0,2318 0,1495 0,08983 0,9994 0,9917 0,9661 0,9144 0,8343 0,7297 0,6089 0,4826 0,3614 0,25394 1 0,9991 0,9944 0,9804 0,9511 0,9012 0,8283 0,7334 0,6214 0,5

5 1 0,9999 0,9994 0,9969 0,99 0,9747 0,9464 0,9006 0,8342 0,74616 1 1 1 0,9997 0,9987 0,9957 0,9888 0,975 0,9502 0,91027 1 1 1 1 0,9999 0,9996 0,9986 0,9962 0,9909 0,98058 1 1 1 1 1 1 0,9999 0,9997 0,9992 0,998

10

0 0,5987 0,3487 0,1969 0,1074 0,0563 0,0282 0,0135 0,006 0,0025 0,0011 0,9139 0,7361 0,5443 0,3758 0,244 0,1493 0,086 0,0464 0,0233 0,01072 0,9885 0,9298 0,8202 0,6778 0,5256 0,3828 0,2616 0,1673 0,0996 0,05473 0,999 0,9872 0,95 0,8791 0,7759 0,6496 0,5138 0,3823 0,266 0,17194 0,9999 0,9984 0,9901 0,9672 0,9219 0,8497 0,7515 0,6331 0,5044 0,377

5 1 0,9999 0,9986 0,9936 0,9803 0,9527 0,9051 0,8338 0,7384 0,6236 1 1 0,9999 0,9991 0,9965 0,9894 0,974 0,9452 0,898 0,82817 1 1 1 0,9999 0,9996 0,9984 0,9952 0,9877 0,9726 0,94538 1 1 1 1 1 0,9999 0,9995 0,9983 0,9955 0,9893


9 1 1 1 1 1 1 1 0,9999 0,9997 0,999

11

0 0,5688 0,3138 0,1673 0,0859 0,0422 0,0198 0,0088 0,0036 0,0014 0,00051 0,8981 0,6974 0,4922 0,3221 0,1971 0,113 0,0606 0,0302 0,0139 0,00592 0,9848 0,9104 0,7788 0,6174 0,4552 0,3127 0,2001 0,1189 0,0652 0,03273 0,9984 0,9815 0,9306 0,8389 0,7133 0,5696 0,4256 0,2963 0,1911 0,11334 0,9999 0,9972 0,9841 0,9496 0,8854 0,7897 0,6683 0,5328 0,3971 0,2744

5 1 0,9997 0,9973 0,9883 0,9657 0,9218 0,8513 0,7535 0,6331 0,56 1 1 0,9997 0,998 0,9924 0,9784 0,9499 0,9006 0,8262 0,72567 1 1 1 0,9998 0,9988 0,9957 0,9878 0,9707 0,939 0,88678 1 1 1 1 0,9999 0,9994 0,998 0,9941 0,9852 0,96739 1 1 1 1 1 1 0,9998 0,9993 0,9978 0,9941

10 1 1 1 1 1 1 1 1 0,9998 0,9995

12

0 0,5404 0,2824 0,1422 0,0687 0,0317 0,0138 0,0057 0,0022 0,0008 0,00021 0,8816 0,659 0,4435 0,2749 0,1584 0,085 0,0424 0,0196 0,0083 0,00322 0,9804 0,8891 0,7358 0,5583 0,3907 0,2528 0,1513 0,0834 0,0421 0,01933 0,9978 0,9744 0,9078 0,7946 0,6488 0,4925 0,3467 0,2253 0,1345 0,0734 0,9998 0,9957 0,9761 0,9274 0,8424 0,7237 0,5833 0,4382 0,3044 0,1938

5 1 0,9995 0,9954 0,9806 0,9456 0,8822 0,7873 0,6652 0,5269 0,38726 1 0,9999 0,9993 0,9961 0,9857 0,9614 0,9154 0,8418 0,7393 0,61287 1 1 0,9999 0,9994 0,9972 0,9905 0,9745 0,9427 0,8883 0,80628 1 1 1 0,9999 0,9996 0,9983 0,9944 0,9847 0,9644 0,9279 1 1 1 1 1 0,9998 0,9992 0,9972 0,9921 0,9807

10 1 1 1 1 1 1 0,9999 0,9997 0,9989 0,996811 1 1 1 1 1 1 1 1 0,9999 0,9998

13

0 0,5133 0,2542 0,1209 0,055 0,0238 0,0097 0,0037 0,0013 0,0004 0,00011 0,8646 0,6213 0,3983 0,2336 0,1267 0,0637 0,0296 0,0126 0,0049 0,00172 0,9755 0,8661 0,692 0,5017 0,3326 0,2025 0,1132 0,0579 0,0269 0,01123 0,9969 0,9658 0,882 0,7473 0,5843 0,4206 0,2783 0,1686 0,0929 0,04614 0,9997 0,9935 0,9658 0,9009 0,794 0,6543 0,5005 0,353 0,2279 0,1334

5 1 0,9991 0,9925 0,97 0,9198 0,8346 0,7159 0,5744 0,4268 0,29056 1 0,9999 0,9987 0,993 0,9757 0,9376 0,8705 0,7712 0,6437 0,57 1 1 0,9998 0,9988 0,9944 0,9818 0,9538 0,9023 0,8212 0,70958 1 1 1 0,9998 0,999 0,996 0,9874 0,9679 0,9302 0,86669 1 1 1 1 0,9999 0,9993 0,9975 0,9922 0,9797 0,9539

10 1 1 1 1 1 0,9999 0,9997 0,9987 0,9959 0,988811 1 1 1 1 1 1 1 0,9999 0,9995 0,998312 1 1 1 1 1 1 1 1 1 0,9999

140 0,4877 0,2288 0,1028 0,044 0,0178 0,0068 0,0024 0,0008 0,0002 6E-051 0,847 0,5846 0,3567 0,1979 0,101 0,0475 0,0205 0,0081 0,0029 0,0009


2 0,9699 0,8416 0,6479 0,4481 0,2811 0,1608 0,0839 0,0398 0,017 0,00653 0,9958 0,9559 0,8535 0,6982 0,5213 0,3552 0,2205 0,1243 0,0632 0,02874 0,9996 0,9908 0,9533 0,8702 0,7415 0,5842 0,4227 0,2793 0,1672 0,0898

5 1 0,9985 0,9885 0,9561 0,8883 0,7805 0,6405 0,4859 0,3373 0,2126 1 0,9998 0,9978 0,9884 0,9617 0,9067 0,8164 0,6925 0,5461 0,39537 1 1 0,9997 0,9976 0,9897 0,9685 0,9247 0,8499 0,7414 0,60478 1 1 1 0,9996 0,9978 0,9917 0,9757 0,9417 0,8811 0,7889 1 1 1 1 0,9997 0,9983 0,994 0,9825 0,9574 0,9102

10 1 1 1 1 1 0,9998 0,9989 0,9961 0,9886 0,971311 1 1 1 1 1 1 0,9999 0,9994 0,9978 0,993512 1 1 1 1 1 1 1 0,9999 0,9997 0,999113 1 1 1 1 1 1 1 1 1 0,9999

15

0 0,4633 0,2059 0,0874 0,0352 0,0134 0,0047 0,0016 0,0005 0,0001 3E-051 0,829 0,549 0,3186 0,1671 0,0802 0,0353 0,0142 0,0052 0,0017 0,00052 0,9638 0,8159 0,6042 0,398 0,2361 0,1268 0,0617 0,0271 0,0107 0,00373 0,9945 0,9444 0,8227 0,6482 0,4613 0,2969 0,1727 0,0905 0,0424 0,01764 0,9994 0,9873 0,9383 0,8358 0,6865 0,5155 0,3519 0,2173 0,1204 0,0592

5 0,9999 0,9978 0,9832 0,9389 0,8516 0,7216 0,5643 0,4032 0,2608 0,15096 1 0,9997 0,9964 0,9819 0,9434 0,8689 0,7548 0,6098 0,4522 0,30367 1 1 0,9994 0,9958 0,9827 0,95 0,8868 0,7869 0,6535 0,58 1 1 0,9999 0,9992 0,9958 0,9848 0,9578 0,905 0,8182 0,69649 1 1 1 0,9999 0,9992 0,9963 0,9876 0,9662 0,9231 0,8491

10 1 1 1 1 0,9999 0,9993 0,9972 0,9907 0,9745 0,940811 1 1 1 1 1 0,9999 0,9995 0,9981 0,9937 0,982412 1 1 1 1 1 1 0,9999 0,9997 0,9989 0,996313 1 1 1 1 1 1 1 1 0,9999 0,999514 1 1 1 1 1 1 1 1 1 1


BEBERAPA NILAI KOEFISIEN BINOM(DIHITUNG MENGGUNAKAN Ms. EXCEL DENGAN FORMULA “=COMBIN”)

N NC0 NC1 NC2 NC3 NC4 NC5 NC6 NC7 NC8 NC9 NC10

1 1 12 1 2 13 1 3 3 14 1 4 6 4 15 1 5 10 10 5 16 1 6 15 20 15 6 17 1 7 21 35 35 21 7 18 1 8 28 56 70 56 28 8 19 1 9 36 84 126 126 84 36 9 110 1 10 45 120 210 252 210 120 45 10 111 1 11 55 165 330 462 462 330 165 55 1112 1 12 66 220 495 792 924 792 495 220 6613 1 13 78 286 715 1287 1716 1716 1287 715 28614 1 14 91 364 1001 2002 3003 3432 3003 2002 100115 1 15 105 455 1365 3003 5005 6435 6435 5005 300316 1 16 120 560 1820 4368 8008 11440 12870 11440 800817 1 17 136 680 2380 6188 12376 19448 24310 24310 1944818 1 18 153 816 3060 8568 18564 31824 43758 48620 4375819 1 19 171 969 3876 11628 27132 50388 75582 92378 9237820 1 20 190 1140 4845 15504 38760 77520 125970 167960 18475621 1 21 210 1330 5985 20349 54264 116280 203490 293930 35271622 1 22 231 1540 7315 26334 74613 170544 319770 497420 64664623 1 23 253 1771 8855 33649 100947 245157 490314 817190 114406624 1 24 276 2024 10626 42504 134596 346104 735471 1307504 196125625 1 25 300 2300 12650 53130 177100 480700 1081575 2042975 3268760


26 1 26 325 2600 14950 65780 230230 657800 1562275 3124550 531173527 1 27 351 2925 17550 80730 296010 888030 2220075 4686825 843628528 1 28 378 3276 20475 98280 376740 1184040 3108105 6906900 1312311029 1 29 406 3654 23751 118755 475020 1560780 4292145 10015005 2003001030 1 30 435 4060 27405 142506 593775 2035800 5852925 14307150 30045015

NILAI – NILAI KRITIS J UNTUK UJI WILCOXON

nTaraf Nyata

0,01 0,05

6 - 0

7 - 2

8 0 4

9 2 6

10 3 8

11 5 11

12 7 14

13 10 17

14 13 21

15 16 25

16 20 30

17 23 35

18 28 40

19 32 46

20 38 52

21 43 59

22 49 66


23 55 73

24 61 81

25 68 89


BATAS KRITIS UNTUK RUNTUN uTARAF NYATA 0,05

HARGA TERBESAR ANTARA n1 DAN n2

5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

2 2 2 2 2 2 2 2 2 2 6 6 6 6 6 6 6 6 6

3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8

42 2 2 3 3 3 3 3 3 3 3 4 4 4 4 49 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10

52 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5

10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12

6 3 3 3 4 4 4 4 5 5 5 5 5 5 6 6 11 12 12 13 13 13 13 14 14 14 14 14 14 14 14

7 3 4 4 5 5 5 5 5 6 6 6 6 6 6 13 13 14 14 14 14 15 15 15 16 16 16 16 16

8 4 5 5 5 6 6 6 6 6 7 7 7 7 14 14 15 15 16 16 16 17 17 17 17 17 17

9 5 5 6 6 6 7 7 7 7 8 8 8 15 16 16 16 17 17 18 18 18 18 18 18

10 6 6 7 7 7 7 8 8 8 8 9 16 17 17 18 18 18 19 19 19 20 20

11 7 7 7 8 8 8 9 9 9 9 17 18 19 19 19 20 20 20 21 21

12 7 8 8 8 9 9 9 10 10 19 19 20 20 21 21 21 22 22

13 8 9 9 9 10 10 10 10 20 20 21 21 22 22 23 23

14 9 9 10 10 10 11 11 21 22 22 23 23 23 24

15 10 10 11 11 11 12


22 23 23 24 24 25

16 11 11 11 12 12 23 24 25 25 25

17 11 12 12 13 25 25 26 26

18 12 13 13 26 26 27

19 13 13 27 27

20 14 28


TRASFORMASI FISHER(DIHITUNG MENGGUNAKAN Ms. EXCEL DENGAN FORMULA “=FISHER”)

x 0 1 2 3 4 5 6 7 8 9

-0,9 -1,472 -1,422 -1,376 -1,333 -1,293 -1,256 -1,221 -1,188 -1,157 -1,127

-0,8 -1,099 -1,071 -1,045 -1,02 -0,996 -0,973 -0,95 -0,929 -0,908 -0,887

-0,7 -0,867 -0,848 -0,829 -0,811 -0,793 -0,775 -0,758 -0,741 -0,725 -0,709

-0,6 -0,693 -0,678 -0,662 -0,648 -0,633 -0,618 -0,604 -0,59 -0,576 -0,563

-0,5 -0,549 -0,536 -0,523 -0,51 -0,497 -0,485 -0,472 -0,46 -0,448 -0,436

-0,4 -0,424 -0,412 -0,4 -0,388 -0,377 -0,365 -0,354 -0,343 -0,332 -0,321

-0,3 -0,31 -0,299 -0,288 -0,277 -0,266 -0,255 -0,245 -0,234 -0,224 -0,213

-0,2 -0,203 -0,192 -0,182 -0,172 -0,161 -0,151 -0,141 -0,131 -0,121 -0,11

-0,1 -0,1 -0,09 -0,08 -0,07 -0,06 -0,05 -0,04 -0,03 -0,02 -0,01

0 0 0,01 0,02 0,03 0,04 0,05 0,0601 0,0701 0,0802 0,0902

0,1 0,1003 0,1104 0,1206 0,1307 0,1409 0,1511 0,1614 0,1717 0,182 0,1923

0,2 0,2027 0,2132 0,2237 0,2342 0,2448 0,2554 0,2661 0,2769 0,2877 0,2986

0,3 0,3095 0,3205 0,3316 0,3428 0,3541 0,3654 0,3769 0,3884 0,4001 0,4118

0,4 0,4236 0,4356 0,4477 0,4599 0,4722 0,4847 0,4973 0,5101 0,523 0,5361

0,5 0,5493 0,5627 0,5763 0,5901 0,6042 0,6184 0,6328 0,6475 0,6625 0,6777

0,6 0,6931 0,7089 0,725 0,7414 0,7582 0,7753 0,7928 0,8107 0,8291 0,848

0,7 0,8673 0,8872 0,9076 0,9287 0,9505 0,973 0,9962 1,0203 1,0454 1,0714

0,8 1,0986 1,127 1,1568 1,1881 1,2212 1,2562 1,2933 1,3331 1,3758 1,4219

0,9 1,4722 1,5275 1,589 1,6584 1,738 1,8318 1,9459 2,0923 2,2976 2,6467


INVERS FISHER(DIHITUNG MENGGUNAKAN Ms. EXCEL DENGAN FORMULA “=FISHERINV”)

Y 0 1 2 3 4 5 6 7 8 9

-1,5 -0,90515

-0,90332

-0,90147

-0,89958

-0,89765

-0,89569

-0,8937 -0,89167

-0,8896 -0,88749

-1,4-

0,88535-

0,88317-

0,88095-

0,87869-

0,87639-

0,87405-

0,87167-

0,86925-

0,86678-

0,86428

-1,3 -0,86172

-0,85913

-0,85648

-0,8538 -0,85106

-0,84828

-0,84546

-0,84258

-0,83965

-0,83668

-1,2-

0,83365-

0,83058-

0,82745-

0,82427-

0,82104-

0,81775-

0,81441-

0,81102-

0,80757-

0,80406

-1,1 -0,8005 -0,79688

-0,7932 -0,78946

-0,78566

-0,78181

-0,77789

-0,77391

-0,76987

-0,76576

-1-

0,76159-

0,75736-

0,75307-0,7487

-0,74428

-0,73978

-0,73522

-0,73059

-0,7259-

0,72113

-0,9 -0,7163 -0,71139

-0,70642

-0,70137

-0,69626

-0,69107

-0,68581

-0,68048

-0,67507

-0,66959

-0,8-

0,66404-

0,65841-

0,65271-

0,64693-

0,64108-

0,63515-

0,62915-

0,62307-

0,61691-

0,61068

-0,7 -0,60437

-0,59798

-0,59152

-0,58498

-0,57836

-0,57167

-0,5649 -0,55805

-0,55113

-0,54413

-0,6-

0,53705-0,5299

-0,52267

-0,51536

-0,50798

-0,50052

-0,49299

-0,48538

-0,4777-

0,46995

-0,5 -0,46212

-0,45422

-0,44624

-0,4382 -0,43008

-0,4219 -0,41364

-0,40532

-0,39693

-0,38847

-0,4-

0,37995-

0,37136-

0,36271-

0,35399-

0,34521-

0,33638-

0,32748-

0,31852-

0,30951-

0,30044

-0,3 -0,29131

-0,28213

-0,27291

-0,26362

-0,2543 -0,24492

-0,2355 -0,22603

-0,21652

-0,20697

-0,2-

0,19738-

0,18775-

0,17808-

0,16838-

0,15865-

0,14889-

0,13909-

0,12927-

0,11943-

0,10956

-0,1 -0,09967

-0,08976

-0,07983

-0,06989

-0,05993

-0,04996

-0,03998

-0,02999

-0,02 -0,01


0 0 0,010,01999

70,02999

10,03997

90,04995

80,05992

80,06988

60,07983

0,089758

0,1 0,099668

0,109558

0,119427

0,129273

0,139092

0,148885

0,158649

0,168381

0,178081

0,187746

0,20,19737

50,20696

60,21651

80,22602

80,23549

60,24491

90,25429

60,26362

50,27290

50,28213

5

0,3 0,291313

0,300437

0,309507

0,318521

0,327477

0,336376

0,345214

0,353992

0,362707

0,37136

0,40,37994

90,38847

30,39693

0,405321

0,413644

0,421899

0,430084

0,438199

0,446244

0,454216

0,5 0,462117

0,469945

0,4777 0,485381

0,492988

0,50052 0,507977

0,515359

0,522665

0,529896

0,6 0,537050,54412

70,55112

80,55805

20,5649 0,57167

0,578363

0,584980,59151

90,59798

2

0,7 0,604368

0,610677

0,616909

0,623065

0,629145

0,635149

0,641077

0,646929

0,652707

0,658409

0,80,66403

70,66959 0,67507

0,680476

0,685809

0,691069

0,696258

0,701374

0,706419

0,711394

0,9 0,716298

0,721132

0,725897

0,730594

0,735222

0,739783

0,744277

0,748704

0,753066

0,757362

10,76159

40,76576

20,76986

70,77390

80,77788

80,78180

60,78566

40,78946

10,79319

90,79687

8

1,1 0,800499

0,804062

0,807569

0,811019

0,814414

0,817754

0,82104 0,824272

0,827452

0,830579

1,20,83365

50,83667

90,83965

40,84257

90,84545

60,84828

40,85106

40,85379

80,85648

50,85912

7

1,3 0,861723

0,864275

0,866784

0,869249

0,871672

0,874053

0,876393

0,878692

0,880951

0,883171

1,40,88535

20,88749

40,88959

90,89166

70,89369

80,89569

30,89765

30,89957

70,90146

80,90332

5

1,5 0,905148

0,906939

0,908698

0,910425

0,91212 0,913785

0,91542 0,917026

0,918602

0,920149

1,60,92166

90,92316

0,924624

0,926062

0,927473

0,928858

0,930217

0,931552

0,932862

0,934147

1,7 0,935409

0,936648

0,937863

0,939056

0,940227

0,941376

0,942503

0,943609

0,944695

0,945761

1,80,94680

60,94783

20,94883

80,94982

60,95079

50,95174

60,95267

90,95359

40,95449

20,95537

3

1,9 0,956237

0,957085

0,957917

0,958733

0,959534

0,960319

0,96109 0,961846

0,962587

0,963314

20,96402

80,96472

70,96541

40,96608

70,96674

70,96739

50,96803

0,968653

0,969265

0,969864

2,1 0,970452

0,971029

0,971594

0,972149

0,972693

0,973226

0,973749

0,974262

0,974766

0,975259

2,20,97574

30,97621

80,97668

30,97714

0,977587

0,978026

0,978457

0,978879

0,979293

0,979698

2,3 0,980096

0,980487

0,980869

0,981245

0,981613

0,981973

0,982327

0,982674

0,983014

0,983348

2,40,98367

50,98399

60,98431

0,984618

0,984921

0,985217

0,985508

0,985792

0,986072

0,986346

2,5 0,986614

0,986878

0,987136

0,987389

0,987637

0,98788 0,988119

0,988353

0,988582

0,988807


2,60,98902

70,98924

40,98945

50,98966

30,98986

70,99006

60,99026

20,99045

40,99064

20,99082

7

2,7 0,991007

0,991185

0,991359

0,991529

0,991696

0,99186 0,99202 0,992178

0,992332

0,992483

2,80,99263

20,99277

70,99291

90,99305

90,99319

60,99333

0,993462

0,993591

0,993718

0,993842

2,9 0,993963

0,994082

0,994199

0,994314

0,994426

0,994536

0,994644

0,99475 0,994853

0,994955

30,99505

50,99515

20,99524

80,99534

20,99543

40,99552

40,99561

30,99569

90,99578

40,99586

8


SUDUT

o ' " rad rev1 Derajat 1 60 3600 1,745X10-2 2,778X10-3

1 Menit 1,667X10-2 1 60 2,909X10-4 4,630X10-5

1 Detik 2,778X10-4 1,667X10-2 1 4,848X10-6 7,716X10-7

1 Radian 57,3 3438 2,063X105 1 0,15921 Revolusi 360 2,16X104 1,296X106 6,238 1Sumber : Shortley and Williams. 1959. PHYSICS (VOLUME I). PRENTICE-HALL,INC: Washington, D.C.

PANJANG

cm m km in ft mi

1 centimeter 1 10-2 10-5 0,3937 3,281 X 10-2

6,214 X 10-6

1 meter 100 1 10-3 39.37 3,281 6,214 X 10-4

1 kilometer 105 1000 1 3,937 X 104 3281 0,6214

1 inch 2,540 2,540 X 10-2

2,540 X 10-5 1 8,333 X

10-21,578 X

10-5

1 foot 30,48 0,3048 3,048 X 10-4 12 1 1,894 X

10-4

1 statute mile

1,609 X 105 1609 1,609 6,336 X

104 5280 1

Sumber : Shortley and Williams. 1959. PHYSICS (VOLUME I). PRENTICE-HALL,INC: Washington, D.C.

LUAS

m2 cm2 ft2 in2 cire mil1 m2 1 104 10,76 1550 1,974 X 109

1 cm2 10-4 1 1,076 X 10-3 0,1550 1,974 X 105

1 ft2 9,290 X 10-2 929,0 1 144 1,833 X 108

1 inch2 6,4552 X 10-4 6,452 6,944 X 10-3 1 1,273 X 106

1 circular mil

5,067 X 10-10 5,067 X 10-6 5,454 X 10-9 7,854 X 10-7 1


VOLUME

m3 cm3 l ft3 in3

m3 1 106 1000 35,31 6,102 X 104

cm3 10-6 1 1,000 X 10-3 3,531 X 10-5 6,102 X 10-2

l3 1,0000 X 10-3 1000 1 3,531 X 10-2 61,02ft3 2,832 X 10-2 2,832 X 104 28,32 1 1728in3 1,639 X 10-5 16,39 1,639 X 10-2 5,787 X 10-4 1



MASSA

g kg oz lb slug ton

1 gram 1 0,0013,527 X 10-

22,205 X 10-

26,852 X 10-

61,102 X 10-

6

1 kilogram

1000 1 35,27 2,2056,852 X 10-

91,102 X 10-

3

1 ounce 28,35 2,835 X 10-

2 1 6,250 X 10-

21,943 X 10-

33,125 X 10-

5

1 pound 453,6 0,4536 16 1 3,108 X 10-

2 0,0005

1 slug 1,459 X 104 14,59 514,8 32,17 1 1,609 X 10-

2

1 ton 9,072 X 105 907,2 3,2 X 104 2000 62,16 1


WAKTU

yr day hr min sec1 year 1 365,2 8,766 X 103 5,259 X 105 3,156 X 107

1 day 2,738 X 10-3 1 24 1440 8,640 X 104

1 hour 1,141 X 10-4 4,167 X 10-2 1 60 36001 minute 1,901 X 10-6 6,944 X 10-4 1,667 X 10-2 1 601 second 3,169 X 10-8 1,157 X 10-5 2,778 X 10-4 1,667 X 10-2 1Sumber : Shortley and Williams. 1959. PHYSICS (VOLUME I). PRENTICE-HALL,INC: Washington, D.C.

DENSITAS

slug/ft3 lb/ft3 lb/in3 kg/m3 g/cm3

1 slug per ft3 1 32,17 1,862 X 10-2 515,4 0,51541 pound per ft3 3,108 X 10-2 1 5,787 X 10-4 16,02 1,602 X 10-2

1 pound per in3 53,71 1728 1 2,768 X 104 27,681 kilogram per m3 1,940 X 10-3 6,243 X 10-2 3,613 X 10-5 1 0,001

1 gram per cm3 1,940 62,43 3,613 X 10-2 1000 1Sumber : Shortley and Williams. 1959. PHYSICS (VOLUME I). PRENTICE-HALL,INC: Washington, D.C.


Tentang Penulis

Ondi Saondi. Lahir di oleced Kabupaten Kuningan pada tanggal 4 januari 1976. Lulus dari SD Jaya Mandala pada tahun 1988, melanjutkan ke SMP

Negeri Lebakwangi dan lulus pada tahu 1991. Tahun 1994 lulus dari SMA Negeri Ciawigebang. Menamatkan S-1 tahun 1998 dari Program Studi Pendidikan Matematika FKIP UNSWAGATI Cirebon. S-2 tahun 2002 dari UHAMKA Jakarta pada Magister Administrasi Pendidikan Konsentrasi SIM.

Pekerjaan yang pernah digeluti yakni sebagai guru SMA Korpri Ciawigebang mulai tahun 1996 sampai dengan 2001 untuk mata pelajaran fisika, guru SMU Negeri 1 Ciawigebang mulai tahun 1999 sampai dengan 2003 untuk mata pelajaran kimia, guru MA Ciawigebang (Sekarang MAN Ciawigebang) untuk mata pelajaran matematika ekonomi mulai 1997 sampai dengan 1999, guru MA Miftahul Jannah Luragung (Sekarang MAN Luragung) untuk mata pelajaran Fisika mulai tahun 1997 sampai dengan 1999, guru UPTD SMP Negeri 1 Cilebak Kuningan maret tahun 2000 sampai dengan sekarang mengajar mata pelajaran matematika. Selain mengajar di SMP, mulai tahun 2001 memberikan kuliah pada Program Studi Pendidikan Ekonomi FKIP Universitas Kuningan untuk mata kuliah matematika ekonomi, statistika 1, statistika 2, dan SIM. Serta mulai tahun 2001 mengajar di STMIK Kuningan (sekarang Fakultas Ilmu Komputer UNIKU) sampai dengan tahun 2006 untuk mata kuliah aljabar linear, aljabar

ondisaondi.wordpress.com / teori himpunan 133

vektor dan matrik, statistik, matematika diskrit, metoda numerik, kalkulus 1, kalkulus 2, logika informatika, serta teori bahasa dan otomata. Mulai bulan september 2008 membina mata kuliah teori himpunan dan Matematika Diskrit pada program studi matematika Jurusan Tarbiyah STAIN Cirebon.

Buku yang pernah ditulis antara lain : Statistika 1 ( ISBN ), Pengantar Matematika Ekonomi, Persamaan Differensial, Kalkulus 1, Struktur Data, Metoda Numerik, Matematika Diskrit, teknologi informasi dan komunikasi, kumpulan teori – teori dalam ilmu manajemen, Teori graf, dan Tabel Matematika, Statistika, dan Fisika untuk Pendidikan Dasar sampai Pendidikan Tinggi, Teori Himpunan, Analisis Real, Teori Himpunan, Sistem Informasi Pada Perguruan Tinggi . Juga beberapa makalah dan penelitian antara lain : Perbandingan Hasil Belajar Matematika Siswa Laki – laki dengan Perempuan ( Jurnal ALBAAB CILEBAK Bulan Juli Tahun 2007 ), Structural Equation Modelling (SEM) Dan Penerapannya ( Jurnal ALBAAB CILEBAK Bulan Januari Tahun 2007 ), Perancangan Sistem Informasi Pegawai Di Universitas Kuningan ( Jurnal NUANSA INFORMATIKA Bulan Juli Tahun 2005 ), Model Sistem Informasi Manajemen Untuk Pengelolaan Pendidikan Dasar (Jurnal NUANSA INFORMATIKA Bulan Juli Tahun 2005) , Perbandingan Hasil Belajar statistika ( Jurnal EQUILIBRIUM Bulan Juli 2005 ), Perbandingan Prestasi Belajar Kalkulus mahasiwa (Jurnal EQUILIBRIUM Bulan Maret 2005), Pendekatan Dan Model Ekonometri ( Jurnal EQUILIBRIUM Bulan Januari 2006 ), Pengembangan Manusia Berkarakter Teknologi (Jurnal


EQUILIBRIUM Bulan Juli 2007), Logika dan Statistika (Jurnal EQUILIBRIUM Bulan Januari 2008),.

Pengalaman berorganisasi : Ketua Ikatan Remaja Masjid Al-Hikmah Desa Manggari tahun 1995 dan 1997, Ketua Bidang Pendidikan dan Teknologi Informasi Pemuda Muhammadiyah Kabupaten Kuningan tahun 2005 - sekarang, Pemimpin Redaksi Jurnal Equilibrium tahun 2005 - sekarang , Ketua Penyunting Jurnal ALBAAB CILEBAK tahun 2007 - sekarang.

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