1. If X ~ N(200,2²), find а) Р(X < 197) b) Р(Х < 200 .5)

Q: 17) pla) = a' – 5; Find p(x – 4) %3D

A:

Q: Suppose X~U(0,8).  Find P(x < 5).  Enter the exact numeric value.

A:

Q: If A = 2 4 and B find: (а) АВ (b) А + B" (с) 2A' - В

A: Topic:- matrix algebra  Note:- as per our guideline if more than three subparts than  only first…

Q: X у 503 12

A: Recall: sin θ=opposite sideHypotenuse cos θ=adjacent sideHypotenuse We have, θ=60°, opposite…

Q: In(u)

A: We are asked to integrate the given

Q: Given X N(20,16), find b. P (X <19) (4 decimal place)

A: X~N( μ , ?2 )   μ=20 , ?=4   Z-score =( x - μ )/?

Q: If M= (16x^8y^-4)^1/4 / 32x^-2y^8, determine values for x and y so that a) M=1, b) M&lt;O

A: The objective of the question is to find the values of x and y that satisfy the given equation under…

Q: 6. If x = -4 and y = 2, then verify that. 7 (ii) - (x+y)= (-2) + Cy

A: 6 Given that x=−47and y=25. We have to verify that −x+y=−x+−y. First take left hand side -x+y…

Q: If n(Ax B) = 620 and n(B) = 31, find n(A). n(A)= n(B)= @)(::;:233)5

A:

Q: Ln xe-** dx хе

A:

Q: 1. [-(p A -q)] V -r

A:

Q: Find x and y. if (x y) (² _-3) = 4 -1 = (2-4).

A:

Q: Let X=(1,0, – 1, - /2)'. Then, ||X||, =| Select one: а. -1- V3 b. -V3 O C. 2 +/2 d. -V2

A:

Q: 1-3у 2у - Зу? 1.

A: Given: ∫1-3y2y-3y2dy

Q: d6 1 2-₁ {-101 = ds6(s-7)2-64, 13. If L-1 6₁)} = atbect senh(8t), the value of (a.c) is:

A:

Q: (x– 3) - ? = ? 5. For x2 # 9, x' -9

A: Given Data: Expression: x-32x2-9 Condition: x2≠9

Q: 12) A(2, 1), B(-1,0), C(5, -3), DI-2, -1) ➜ -AR-3CD = 2

A:

Q: 2. Show that 1 2 = (1 - )( - )(? y)

A:

Q: Find the derivative of : yo √√x ²³² +1 (x+3) * (x-1)/3

A: given  y=x2+1(x+3)x(x-1)13formula used is (i)  lnxn=nlnx(ii)  lnab=lna-lnb(iii)  lna.b=lna+lnb(iv)…

Q: B [. (P → Q ) ^ P] → Q Q

A: We will find out the required truth table.

Q: Suppose P(x) represents profit on the sales of x computers. Suppose P(25,000) = 12,000;…

A: given :

Q: PERPARA EPIFFERITEURE HIFCERERE dx SURASEULEET EXPLOREZPIER MERASAKASH FLERENCE r 7)Evaluate ↑n(x²)…

A: I have stated the used formulas in the solution.

Q: Ifa' = (-5,1,2) and b' (-1,–2,4)and, find a – 3b.

A:

Q: then the ² u - y² is მყ2

A:

Q: If y = ((5z² + 8z)³ – 5-)°, then dy/dr is:

A:

Q: 2) y=-- +1 2 1 ソ= 1

A:

Q: 18. Lfe ]- 19. 4(t+ + 2} - -3t3

A:

Q: [1 -1] find 7. If A = | 3 0 |2 3 (а) А' (b) B' (с) (АB)

A: According to our guidelines, In case of questions with multiple subparts we are supposed to answer…

Q: 2- S5olve X" = LX given u =1

A:

Q: 2x-7 x+1 + x - 3 f lelog MATH is an isosceles trapezo and m/H= (x + 3)°, find mzt

A:

Q: 3x'e* (x* +1)* 3e a) -+C 2(x² +1) 3e* b) 2(x² +1) +C x? +3 x +1 3 c) +C .2

A:

Q: For any natural number m, evaluate 1/m +x")( 3m 2m 2m +x 2x +3x" +6)"* dx, x > 0. m X

A: Topic:- Integration

Q: What is the number of integer solutions to the equation X1 + x2 + x3 + x4 + x5 = 100 where x1 2 1,…

A: Given , x1 + x2 + x3 + x4 + x5 = 100

Q: Find f) af lia fallowbngi G-7) (x?- 3x' + 24). 5) a) 2. 4) for - 6) Im Cx -3) In 5x -5%

A: Hello! thank you for the question since the exact one is not defined, we'll able to solve only three…