a. {x | xc W and x< 5} and {a, B, I, A, 6, s}

Q: .If X&Y are independent R.V's,what are the values of Var(X₁+X₂)and Var(X₁-X₂)

A: Solution X1 and X2 are independent random variables then Cov(X1,X2)= Then Var(X1+X2)=Var(X1)+Var(X2)

Q: Let H = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, a, b, c, d, e, f} Let W = {(a, b) : a € H, b = H} be the…

A: Answer:-

Q: a Prove that < 16 – a| for each a, b e R. - V62 + 1 Va? + 1

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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:…

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Q: 3. Let A = {1, 2, 3}. What is |A|?

A: If A = {x,y,z}  |A| = sqrt x^2 + y^2 + z^2

Q: T -6x U 6+ 10x 160 °

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Q: 0 is within the scope of the model. What is 1.29. Refer to regression model (1.1). Assume that X =…

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Q: and pigs in a field totals 35. The as exactly two legs and each pig h pigs are in the field. (Do not…

A: Given: Four playing boys marbles and their names have given.

Q: Use the properties of logarithms to expand the following logarithmic expression as much as possible.…

A: Consider the expression

Q: Let A = {x € Rx > 5 and x 15 and x 8 and x < 12

A: Given:- A=x∈R|x≥5 and x&lt;18 B=x∈R|x≥15 and x≤22 C=x∈R|x&gt;8 and x&lt;12

Q: Haw:2 ExPress the Sumef the Vectars Aß and E ,if ACl,-), B (2,0)_, C(-1,)_ and D(-2,2).

A: Here is the solution

Q: ze² = πi) 4 Verify that i is

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Q: Let a 0, and a b? no decision

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Q: (1) and (.), (.) dz = Find the number of terms in where z = gu, v/ and u

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: Let U= {x |x E N and x< 10}. Let A = {x | x EN and x is odd and x< 10}. Let B = {x |x EN and x is…

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Q: A. 1. Show that AAEB ACED

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Q: b.) 3x-2y < 12

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Q: Let a = (5, – 3, 6) and b = (5, 3, 4). (a – 6) × (ã + 6) -| X (a +

A: Given: a→=5,-3,6and b→=5,3,4

Q: Express the following invertible matrix A as a product of elementary matrices: You can resize a…

A: The given matrix is: A=-300010-180-2 Reduce the matrix to identity matrix form by performing…

Q: Let v = (5, 1, 2) and w = (4, –3, 6). Find each of the following: v+ w, v– 3w, || v||, || v – w ||

A: Solution: The objective is to find the required values

Q: - If A = {2,3} and B = {x | x ≤ Z+,x <3}, then A x B= Select one: O a. {(1,2), (1,3), (2, 2), (2,3)}…

A: Given that the setsA=2,3 and B=x | x∈Z+ , x&lt;3

Q: If a z 0, then |a If a < 0, then |a||

A: if a&gt;=0, |a| = ?  if a&lt;0, |a| = ?

Q: (1) Let A = {1, 2, 3, 4}, B = {2, 4, 6}, C = {1, 3, 5} and U = {1, 2, 3, 4, 5, 6, 7}. Compute the…

A: By the authoring guidelines of Bartleby, we can answer only first three subparts, please post other…

Q: Let A=[-1,7[,8={-1,3,10,12} and C={}}. Then (A-B) UC= *

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Q: a² + y dyda = It is true that + y dzdy. True False Reset Selection

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Q: Let a = (5,-2, 9). Find ||10||

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Q: P.3 Evaluate d dx**+2x]

A: Given that, ddxx2+2x we have to differentiate given function with respect to x

Q: Let ā = (5, 1, −1) and ỗ = (2, 1, 4). Find a. b.

A: