3. A divisibility test for divisibility by 13: а. Prove that 13|(10x + y) if and only if 13|(x + 4y). Write a divicibility tost for 13 cimilar to the divisibility tost for 7

Q: 1 -3 4 1 Let A = 1 2 -3 2 4. B = -4 0 -2 [-1 2 5. Find Rank of AB

A:

Q: 3/20 + 13/15 combine.

A:

Q: A curve is given by the equation y = ln (2³+¹). x5

A:

Q: Divide. 3x – 3 7x - 7 Sx2 24 (x - 1) 7x(x - 1)

A:

Q: 4x e 3x

A: I = ∫4x e−3x dx

Q: a = 4

A:

Q: 3s – 7 s- 2s + 3

A:

Q: 2.3 Q13

A: The objective of this question is to use the Squeeze Theorem to show that the limit as x approaches…

Q: 2 3 B={ A= 3 Find: A+B .B+A .A-

A:

Q: 1 7. 27 2.

A:

Q: 1) S7 (1+x*)²

A: Given: I=∫x3dx1+x42 For evaluating given integral, we substitute 1+x4=t…

Q: - 3 4 3 - 13 - 10 - 10 -3 Find the LU factorization of 9 L = U = II

A:

Q: 6 5 3 5 6 2 Let D =| 4 -5 7 and E = 1 0 7 1 0 -3 2 5 Find - 5D- 6E.

A: given matrices are

Q: 目 +8 LI +T 现 +04 +C4 |F|E|F|| ||||4 4 4 2 2

A:

Q: 2(3+d-1)

A: Solve the given expression  given expression is 2(3+d-1)

Q: ne binomial:

A:

Q: 1 3 -2 What is the rank of 2? -81 -1 -2 -6 4 a. 4 с. 2 b. 3 d. 1

A: Given: The matrix, 13-2401-12-2-64-8 To find: The rank of the matrix.

Q: 14. (27 – 3 + 3k ) + 3(7 – !J + k )

A:

Q: Multiply. 5/ x-4 5. 7 6 X+1

A:

Q: 1 + 2n < n° for all integers n² 2

A:

Q: 4.) Which expressions have a negative product? Select all that apply. A. (-1)(2)(-3) B. -(-3)(-2) C.…

A: Solve the following

Q: X ~ N(1, 2)

A: We have find givan normal distribution...

Q: (-3d6w3)3

A: Evaluate -3d6w33=?

Q: find: (m+I) m!

A:

Q: 5 (4k + 3) k 1

A: Given,

Q: 2 0 (49x2+1)3/2 4.) 7dx

A: Given:The indefinite integral given is

Q: Given x(t) = 2t² −1,_y(t)=3t+1. Find: a) The equation of the tangent line at t = 1. b) All points at…

A: Given: xt=2t2-1, yt=3t+1 To find:  (a) The equation of the tangent line at t=1. (b) All points at…

Q: A. 3- 2x 2 x B. (2 - x) 2 3x C. 3(2 - X) 2 3x D. 3-2x2 3x 32. Six is at least the product of three…

A:

Q: f. ā(0)

A: Obtain the velocity vector as shown below: vt→=ddtrt→vt→=ddtsint,t,costvt→=cost,1,-sint

Q: 3. (x³ + 4x² –x – 1) + (x + 3)

A: Here we have to divide two polynomials as shown.

Q: 5х -44 j 2х+ 7 k

A: We have been given that j || k

Q: 5s – 6 Find L s² – 4s + 7.

A:

Q: (7) (-4) + (-4 × 6) x

A: We need to solve algebraic quantity.

Q: 2. (1 + 3/2x − 1)² = 3 + √3/2x − 1

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.