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: (-14) + (–7)

A:

Q: 1. Find L-¹{e-³s} 5}

A: We have to apply the inverse Laplace transform of the second shifting theorem to find the solution…

Q: V(3278)3 + 6230 – 12e90i

A:

Q: (4) y=x +4 -5 -4 -3 6.

A: The given equation is: y=x+4

Q: 4 Evaluate -1 0 5 by: 3 - 2 expanding along the first row expanding along the second column A A 1.…

A:

Q: . 3류 - 2층 : 3% +4/3) 1

A:

Q: a3-16a

A: a³−16a ⇒a(a²−16) ⇒a(a² −4²) ⇒a(a+4)(a−4)

Q: LCM 3 and 5

A:

Q: xp xペ-4xt13

A:

Q: こ (0) of

A:

Q: 9 – 4x > –3

A: The given inequality is 9-4x>-3

Q: If A: find A 2. 3 3. and Show Shat A-3

A: A=1213 Now determinant value is, A=13-12=1 Adjoint of matrix A is, adjA=3-2-11 Now,…

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

A:

Q: х3 — 2х dx х — 1 -3 10. 2

A: Given: I=∫23x3-2xx-1dx For evaluating given integral, we substitute x-1=t…

Q: 9/12+3/24

A:

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

A:

Q: (4 – a2)

A: To integrate.

Q: 2(3+d-1)

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

Q: ne binomial:

A:

Q: 2070 = (16a + 10)15

A: 2070 = (16a+10)15 And (16e+11)17 =3723 To find  the values of a and e

Q: 2.)(-6)-(5(1-3)-6)-4+9)

A: The given equation is as  (-6)-(5((-3)-6)-(-4)+9)

Q: 3. Find L-¹{√534}. (s+3)

A:

Q: 36-9z

A: Given that:36-9z

Q: 3 -5 7 4 8 2 8 -3 -6 find P30, P60 and P95.

A:

Q: 3(c) please

A:

Q: (x 3)k

A:

Q: 1 3. s'+3s²

A: We have to find Laplace inverse by convolution theorem.

Q: X ~ N(1, 2)

A: We have find givan normal distribution...

Q: (-3d6w3)3

A: Evaluate -3d6w33=?

Q: Identify the work done, J. F.dr by an electric field, E = (x + xy)î + (y + 5)f – 5zk V/m to move an…

A: Work done along the curve C by vector field F . Where C is given by parametric equation r(t)…

Q: Find A3 if A = {1, 2, a, b}

A: Given,      A=1, 2, a, b

Q: Evalvate S (4sin co) -8cos co) )do

A: Given that: ∫0π(4sinθ-8cosθ)dθ

Q: (1– 3csc(

A:

Q: –4(–6m – 7).

A:

Q: Z4×Z6 has an element of order 24. true or false ?

A:

Q: 土4 7

A:

Q: 9. x+8

A: For two intersecting chords , the  multiples of the lengths of the line segments on each chord are…

Q: What is the product of 3 and 3?

A: To find the product of given irrational numbers.

Q: -96 6 -7 A = -3 d 4A.

A:

Q: (2n)! 323. 2n

A:

Q: 2 Chapter 8 X 4 9

A:

Q: O 1.4 1.4

A: Given: 4:48

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.