consider a discrete random variable Y with the following probability table. -2 3 9. 12 p(y) 0.21 0.07 0.13 0.34 0.25

Q: (c) Show that (AB)² + (A x B)² = (AB)².

A: Given ( A.B )2 + ( A×B )2 = ( AB )2

Q: 1 form. 10) (7p)³ 3 12) (2m)² 14) (10m) = N(10 m Veom)

A:

Q: Show that A×(BxC) + Bx(CxA) + Cx(AxB) =0.

A: We have to prove that LHS=RHS

Q: 2dx J = (3(ln x)² + 12 In x – 15)i -

A:

Q: Are (D+(m*13/12))/2 and ((D+M)/2) +2.5 and [D+ (m+5)]/2 equivalent? If so, show how. If not explain…

A:

Q: find (2n +1)! = 120

A: Here we have to find the value of n.  2n+1!=120

Q: Suppose that n(A) = 17, n(A n B) = 9, and n(A U B) = 24. Find n(B). n(B) 8 x

A: Given that n(A )= 17,n(A∩B) =9,n(A∪B) =24,n(B ) =?

Q: B (4x+12 (3x+14) D. A) x = B) mZB = %3D C) mZA = %3D

A: We are given a parallelogram ABCD. We need to find x and the measure of angle B and angle A.

Q: 16 Evaluate x1² (x4 – 2x² + 1)²dx. - 81

A:

Q: 2(2n+5)=9(7n+3)+8

A: Given equation 22n+5=97n+3+8 We have to find the value of n Use distributive property and then…

Q: 3x Calculate: dx (x² + 2)² 3 а) + C 4 (x² + 2)² 3 + C x² + 2 b) 3 c) +C 4x2 + 8 3 + C 2x2 + 4 d) 1…

A:

Q: What is equal (1 + 5K + 3J ) (1 + 2I+ 3K)-1? Write the coefficient at J & K ?

A:

Q: (a) z = -V3+ i (b) z = (-1 - iv3)2 (c) z = 2 1+iv3 (d) z = (e) z = (1+iv3)(1+ i) %3D

A: according to our guidelines we can answer only three subparts, or question and rest can be reposted.…

Q: (a3 − 13a2 + 40a + 14) ÷ (a − 7)

A: I will solve this division problem using long division method.

Q: What is the coefficient of d5e2c in (d+e+c)8

A: Given (d+e+c)8 = (d+(e+c))8= Cr d8-r (e+c)r8= Cr d8-r Ck er-k ckr8= Cr Ck d8-r er-k ckr8 We need to…

Q: (x3 — 6х? + 7х+ 6) by (х — 3)

A:

Q: 6 4. Find A: s²+4 R: r()

A:

Q: 16. When (2x- 3)' is subtracted from 5x, the result is x²-12x-9 2x - 12x + 9 3x + 12x-9 4) x + 12x +…

A: Given:         2x-32 is subtracted from 5x2 is    here 2x-32 is in the form of a-b2=a2+b2-2ab

Q: For a, b E R, calculate (ax + b)dx (x²+1)²(x²+4)*

A:

Q: (3a − 8)2

A: Given query is to simplify the expression.

Q: (d) 2√2-7 = 16 x 22 X

A: given  2x-7=16 if ax=ay,  than x=y

Q: What is the sum of the coefficient of (x + y −z)8

A:

Q: 2. Which expression is a factor of x² + 2x - 15 1) (х- 3) 2) (x + 3) 3) (x + 15) 4) (х - 5)

A:

Q: B) Find m42 if mz1 = (4x - 7)º and m42 (10x+13)°. +11 = 2 P

A: To find m∠2 if m∠1=4x-7° and m∠2=10x+13°.

Q: 7.) Simplify: (» + 4) + (» – 1)

A: I have used the properties of addition of rational nimbers

Q: show that A (7b +p) = A (7b) + A (p).

A: Given A = [v1 v2 v3]  ,  b = xyz   and   p = 375

Q: 320v-2880³ +2560 = 0

A: I have stated the used formula at the bottom of the solution.

Q: What is the measure of GJ 4x+5 2x+11

A: In the given figure we have two right triangles GIH and GIJ , right angled at I.

Q: i (d) What is Arg(-,- 2 ? -2-2i

A:

Q: 4sqrt(2) was incorrect

A: Given:= f(x,y) = x3y2U = (-3,3) P= (-1,-2)   The directional derivative being negative means that…