Question

In: Advanced Math

Compute the following: (a) 13^2018 (mod 12) (b) 8^11111 (mod 9) (c) 7^256 (mod 11) (d)...

Compute the following:

(a) 13^2018 (mod 12)

(b) 8^11111 (mod 9)

(c) 7^256 (mod 11)

(d) 3^160 (mod 23)

Solutions

Expert Solution


Related Solutions

a) Use Fermat’s little theorem to compute 52003 mod 7, 52003 mod 11, and 52003 mod 13.
  a) Use Fermat’s little theorem to compute 52003 mod 7,52003 mod 11, and 52003 mod 13. b) Use your results from part (a) and the Chinese remaindertheorem to find 52003 mod 1001. (Note that1001 = 7 ⋅ 11 ⋅ 13.)
The following is a sample of 20 measurements. 10 7 6 12 11 9 8 13...
The following is a sample of 20 measurements. 10 7 6 12 11 9 8 13 11 11 12 6 8 7 15 9 12 6 10 10 Compute the Sample mean (x), Sample variance (s2 ), and the Sample standard deviation (s). (round to two decimal places) Count the number of measurements in the intervals x ±s​, x ±2s​, x ±3s. Express each count as a percentage of the total number of measurements.
Sample data: 10 8 7 13 12 9 11 7 13 - calculate the Mean, Variance,...
Sample data: 10 8 7 13 12 9 11 7 13 - calculate the Mean, Variance, Standard Deviation, 25th percentile, Median, and the 75th percentile.
compute 7^-1 mod 11? in details
compute 7^-1 mod 11? in details
Shoe Size 12 6 11 13 8 9 8 8 9 9 11 5 10 8...
Shoe Size 12 6 11 13 8 9 8 8 9 9 11 5 10 8 7 7 11 9 9 9 12 8 8 8 12 9 11 8 11 8 13 5 9 8 11 We need to find the confidence interval for the SHOE SIZE variable. To do this, we need to find the mean and standard deviation with the Week 1 spreadsheet. Then we can the Week 5 spreadsheet to find the confidence interval. This does...
Compute additive and multiplicative inverses of 7 and 9 in Z11 (mod 11). Find out whether...
Compute additive and multiplicative inverses of 7 and 9 in Z11 (mod 11). Find out whether or not 4 and 7 have multiplicative inverse in Z14 (mod 14). Let S be the set of even integers under the operations of addition and multiplication. Is S a ring? Is it commutative? Is it a field? Justify your answer. Compute the multiplicative inverse of 9 under modulo 31 using the extended Euclid’s algorithm.
a = [3, -4, 7] b = [-6, 9, 8] c = [4, 0, 8] d...
a = [3, -4, 7] b = [-6, 9, 8] c = [4, 0, 8] d =[7, 1, 7] e = [3, -5, 2, 1] f =[5, -7, -3, 6] g = [3, -4, 4, 3] P = Projection of ex. C = |g|(gf/gf) C = gf/|f| ex. P g --> f = Cgf = C(gf/f) (1/|f|) (f) =( gf/ff)(f) Find a. Pg --> f b. Pa --> 3b + e Find (cross multiply) a. ||a X b|| b. ||g...
The following sample was taken: 1, 9, 11, 3, 12, 15, 16, 8, 7, 8, 12,...
The following sample was taken: 1, 9, 11, 3, 12, 15, 16, 8, 7, 8, 12, 3, 2, 6, 6, 7, 8, 10, 9, 5, 6, 7, 8, 6, 8, 7 a. Calculate the average b. Estimate the variance c. Build a 95% confidence interval for the standard deviation. Please, give your answer by hand. Thanks in advance.
Use the sample space (5, 6, 7, 8, 9, 10, 11, 12, 13, 14) to find...
Use the sample space (5, 6, 7, 8, 9, 10, 11, 12, 13, 14) to find the probability for a random selected a) P(integer) b) P(less than 10 | less than 13) c) P(greater than 8 | less than 11) d) P(greater than 7 | greater 12)
Match No. 1 2 3 4 5 6 7 8 9 10 11 12 13 14...
Match No. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Player A 8 42 56 68 91 123 12 46 57 137 5 80 14 10 19 Player B 38 44 46 59 57 61 48 42 51 39 58 41 55 45 68 1. For the given data set representing the runs scored by two players in last 15 matches, conduct the following analysis: i. Which average you will use to summarize...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT