Let gcd(a, b) = d then which of the following is correct (i) (ii) b|d (iii) d|(ax – by) v[p a. All the three O b. only (i) c. only (i)and (ii) O d. only (ii) only (i)and (iii)

Q: 2 Let A= then det(3A") = 6- -2 - 18 -6

A:

Q: Kaye deposited $7.000 into a savings account today. For how long can $680 be withdrawn from the…

A:

Q: c1x1(a) + c2x2(a)+ . . . +cnxn(a) = x(a). Let X (t) be the n x n matrix with column vectors x1, x2,…

A: Given : Xt be any  matrix of n×n           : c be column with component c1 ,c2 , . . .  . . .  ,cn…

Q: • G= *-3 ) • G = , det (G) = 10 %3D 4] Then x=12 O A) TRUE O B) FALSE

A:

Q: Ex: Let X₂ [1,2,3,4,5]. I. [0,X, [1], 82.3, 81.23], Y. [3,4,5,6,73 andl T₁: [0, X, [4], [4,633 if A:…

A:

Q: The following is a valid identity, true or false? P(k): 1+2+22 +23 + .. +2k = (2(k+1)/2) +…

A:

Q: The evaluation of SiS 3y e*ydxdy is

A: The solution is given as

Q: - 25 -dr (x – 4)(x + 1) Evaluate

A:

Q: Use membership tables to prove that A – (Bn C) = (A – B) U (A – C). %3D |

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Q: T-M₂R)→R² Find the linear transformation whose matrix ~ = [ ²2 Мор=

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Q: [1 -2 3 3 4 12 -1 -21

A: Given : Matrix  1  -2  3 3  0   4 2  -1  -2

Q: Reject Ho if |z| > N

A: We know that  Null hypothesis H0. Alternative hypothesis H1.

Q: 17 3. Evaluate: de (r- 1)(2 + 16)

A:

Q: 1. Simplify the following statement: [(Ra) V (q -r)] ^ ()

A:

Q: hat p (A) =0.3 and P (B) = 0.2 find P (A or B) given that (a) A and B are mutually exclusive, (b) A…

A: p (A) =0.3 and P (B) = 0.2  (a) A and B are mutually exclusive P (A or B) = P(A) + P(B)…

Q: Evaluate [R(5xy + z²)dV, where B = [-10, 10] × [0, 1] × [0, 10]

A:

Q: 10 8 8. 6. 4. 4. 12 12 4. 4. C 8. 3 10 10 Which is similar to X? 5. 3.

A:

Q: [6 -3 Evaluate | A | for A = 2 3

A: |A| represents the determinant of the matrix A. Let a matrix X=abcd, then its determinant is given…

Q: 10. Let a = (1,-1,2), b = (2,0,−1), and = (3,-2,0). Evaluate or explain why the expression is…

A: The vectors:

Q: What conditions, if any, must be set forth in order for a + b to be equal to n(A U B)?

A:

Q: For what a is ||ai - 3j + k||=16

A: Topic - vectors

Q: Let = [1, -1, 1], [-2, -1, 3] and = [-1, 2, 2]. Find (u ×7)•w: O-14 07 O 10 Does not exist

A:

Q: 2 Let A = then det(3AT) - 18 -6 -2 II

A:

Q: Let v = Find [-13]; ®= { [4]· [H] }; × = {[3]· B]}-· B C a. [v]: b. [v]: c. [B]: d. [B][v]: e. Are…

A: (.) Given,(.) Coordinate vector:  Let  be a basis of a vector space . Then coordinate vector of…

Q: 1. (a) Prove that if alb and alc. then alb² + 10c + a.

A:

Q: Let A = {a, b, c, d}. Find P(A).

A: Let A = {a, b, c, d}. Find P(A).

Q: 1 -2/ -1 1 Let A = Then, ||A||2 = Select one: а. 7+45 2 O . 8+V45 2 C. 10+V45 2 d. 9+V45

A:

Q: (d) The third quartile for X 提交答案| Tries 0/5 (e) the IQR for X 提交答案| Tries 0/5 (f) P(IX-216|> 41)

A: Given : Let X be a r.v X~N(216 , 18) Here ; μ=216 σ=18

Q: -1 - 1 Suppose A Then (A") = 2 1 ||

A: Here, the given matrix is: A=-1-121 To find (AT)-1. Note that (AT)-1=(A-1)T

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Q: WHAT IS O H|5 Se-5x dx 1 e -5x + C -e e-5x + C -¹e-5x + C 5 e-5x + C

A:

Q: The value of | 1/a da is O e+C O +C O a 2 + C O In(r|) +C O None of the others.

A:

Q: -1 -2 -3 -4- 1 2 Let A = 1 1-

A:

Q: 1. Solve the equations below. Show your work. a.) x2 – 14x + 45 = 0 b.) 3x2 – 2x - 5 = 0

A: As per our company guidelines we are supposed to answer only one question kindly post other question…

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.