Find all solutions of: (a) 4? ≡ 3 ??? 7 (b) 9? ≡ 11 ??? 26...

Find all solutions of:
(a) 4? ≡ 3 ??? 7
(b) 9? ≡ 11 ??? 26
(c) 8? ≡ 6 ??? 14
(d) 8? ≡ 6 ??? 422

Expert Solution

Colby Messinger answered 1 year ago

Q−3: [5×4 marks] a. Find a, b if a+2b=107 mod 9 and 2a+b=-55 mod 7. b....

Q−3: [5×4 marks] a. Find a, b if a+2b=107 mod 9 and 2a+b=-55 mod 7. b. Write the prime factorization of 229320 and 49140, hence find GCD and LCM. c. Convert the following number (1303)4 to base 5. d. Using the Prime Factorization technique determine whether 173 is a prime. e. Use the cipher: f(x)=(x+7) mod 26 to decrypt “THAO ALZA”.

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...

A. Find all the solutions for the congruence ax ≡ d (mod b) a=123, b=456, d=3

2, 9, 15, 5, 11, 7, 11, 7, 5, 10 find the population mean, the population...

2, 9, 15, 5, 11, 7, 11, 7, 5, 10 find the population mean, the population variance and the population standard deviation

Given the matrix 7 7 -4 12 -5 A = 9 10 2 6 13 8 11 15 4 1 3. a. Sort each column and store the result in an array B.

Given the matrix a. Sort each column and store the result in an array B.b. Sort each row and store the result in an array C.c. Add each column and store the result in an array D.d. Add each row and store the result in an array E.

9. Let f (x) = x^3 − 10. Find all numbers c in the interval (-11,...

9. Let f (x) = x^3 − 10. Find all numbers c in the interval (-11, 11) for which the line tangent to the graph of f is parallel to the line joining (−11, f (−11)) and (11, f(11)). How many such numbers exist in the given interval? . 0 . 1 . 2 (correct) . 3 Enter points in increasing order (smallest first). Enter DNE in any empty answer blank. c = c = c = DNE (correct) 10....

3 6 4 8 1 10 2 9 11 12 15 22 3 6 7 5...

3 6 4 8 1 10 2 9 11 12 15 22 3 6 7 5 8 1 12 14 Each column represents a different treatment given to sick rats. Each cell is a different rat. Use statistical analysis and use post hoc testing using contrasts to find the best treatment. Treatment 1: vitamins Treatment 2: prescription pills Treatment 3: brain surgery Treatment 4: shock therapy Treatment 5: dietary changes

a)find all solutions to 5sin2x+4=8, 0<x<360 b)find all solutions to 5cos^2theta-sin^2theta-cos theta=0 0<theta<2pie

A = [4, 5, 9] B = [-4, 5, -7] C = [2, -7, -8, 5]...

A = [4, 5, 9] B = [-4, 5, -7] C = [2, -7, -8, 5] D = [1, -9, 5, -3] E = [3, 3, -1] Uz = 1/|z| ^z d(X,Y) = (Rθ) d = diameter R = Radius θ = Theta Find a. Uc b. d (D, C) c. Let P = B + 3E, UP = d. A x B e. 3B x E f. C x D

Consider the following. 21, 11, 5, 26, 7, 4 Compute the population standard deviation of the...

Consider the following. 21, 11, 5, 26, 7, 4 Compute the population standard deviation of the numbers. (Round your answer to two decimal place.) _____________ (a) Double each of your original numbers and compute the standard deviation of this new population. (Round your answer to two decimal place.) ___________ (b) Use the results of part (a) and inductive reasoning to state what happens to the standard deviation of a population when each data item is multiplied by a positive constant...

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