Determine the values of the following set expressions. {0} × {0, {0}} 0 ×{{0}} P({{0}}) P({0, {0}}) 1. {(0, {0}), (0, 0)} 2. {({0}, {0}), ({0}, {{0}})} 3. Ø 4. {0, {{0}}} 5. {0, {0}, {{0}}, {0, {0}}}

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 U = (-∞, x), A = [-1,6], B = [-6,2). In interval notation, determine AN B. Let U = (-0, 00), A =…

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Q: 1. Halla el valor de las siguientes expresiones 1. 58 + 39 x 11 x 33 +24 = 2. 31 x 2 + 48 x 12 + 3 x…

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Q: 4. Between z = 0 and z = -2.02 5. To the left of z = 2.04

A: we have to find given probability...

Q: Example 5-42. (a) Find the Geometric Mean of 2, 4, 8. 12, 16 and 24. (6) If the observations 2, 4, 8…

A: HEre AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION  geometric mean =  a1 *a2*......ann

Q: Match these values of r with the accompanying​ scatterplots: 0.762, −0.994​, 1, −1​, −0.404.

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Q: If a = 2a - a² and b =1-(1-a), show that a = b for all natural numbers n. Assume that a, is a fixed…

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Q: If A A-1 = = 2 -6] 1-²-3 then

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Q: Which of the following is the graph of the piecewise function f (x) - 7 f(x) -2-1 2 1 √-x-1 if XS-1…

A: To plot the piecewise continuous functions: f(x)=-x-1 if x≤-1xx2-x-2 if -1<x<2log2(x-1) if x≥2

Q: et A = -5 2 3 −1 -2 5 and B = -4-3 4 28 -6 -1 4 - 3 -5 20 -15 a. det(A) = b. 7A+41 = -10 -5 -15-25…

A: Since there are more than three sub parts , according to the guidelines, I am solving only the…

Q: 3.54. If the arithmetic mean of two unequal positive real number 'a' and 'b', (a > b), be twice as…

A: In question, Given that the arithmetic mean of two unequal real numbers a and b be twice of their…

Q: = 9. (15 points). Let S {0, 2, 4, 6, 8} C Z10. Is (S, +10, X10) a subring of Z₁0? Find the identity…

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Q: Select all the expressions that are equivalent to 10

A: Given data: The given number is 106. (a) The given number 1/1000000 can be written as,…

Q: If W​ = {0,1,2,3,...}, L={x | x =2n+1, n ∈ W}​, M={x | x =2n, n ∈ W}​, and N​ = {1,2,3,...}, find…

A: Given  W​ = {0,1,2,3,...}, L={x | x =2n+1, n ∈ W}​, M={x | x =2n, n ∈ W}​, and N​ = {1,2,3,...}

Q: Determine the union X ∪ Y. Express them in interval notation. X = {x/x>-17 } and Y = {x/x<equal-10…

A: The union of two sets A and B is defined as the set of all the elements which lie in set A and set B…

Q: 3 I- 0) = [u- w -3 [-1 4] 6.

A: We will solve it in parts Consider 0-1453-101-1 = (0)(5)+(-1)(-1)+(4)(1)    (0)(3)+(-1)(0)+(4)(-1)=…

Q: Given (34)-¹ = [3¹] 3¹, find A.

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Q: Prove the following:  If a <b, then -b < -a

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Q: 3. For the following questions please use the following notation. "Not X" = X'. "Not Y"=Y'. You may…

A: For the given events, "Not X"=X′ and "Not Y"=Y′, both the paired events of "X and X′" and "Y and Y′"…

Q: Compute each of the following. Enter your answer simplified, in interval notation. (-5, 7) n(-7, −…

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Q: 1. Find the GLB of the set: {x:|x - 4| < 1}. -1 b. 1 -3 d. 3 e. 0 а. с.

A: We need to solve the given inequality to find GLB

Q: b. {r|x € N and 7 <x< 14}

A: Given,  x|x∈ℕ and 7≤x≤14

Q: 10. Which of the following mathematical statement is CORRECT? 1 1 D. (a²)i =ai A. a 5= B. a5 a5 =…

A: Solution

Q: Give the value of each of the following. A 1. 4- 2. 9-1 3. (3)-' 4. (5-)-

A: Given1.4-12.9-13.(23)-1 4.(5-1)-1    To find Value of all the subdivisions.

Q: Computex for the following set of n = 7 values. X₁ = 2, X₂ = 15, x3 = 18, x4 = 10, x5 = 12, x6 = 15,…

A: Given,X1 = 2, X2 = 15, X3 = 18, X4 = 10, X5 = 12, X6 = 15, X7 = 11We need to calculate

Q: Max Z 3x, +5x, +2x, -2x, +2.x, + x, 10 3x, + x, - x, s 20 X, x, and x, 20 *; 20

A: The problem is converted to canonical form by adding slack, surplus and artificial variable.   Here…

Q: Refer to B={ ={₁0, -6, 0.23, 3, -1.7, √7}. Determine which elements belong to the given set.…

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Q: Choose the number that best approximates each of the following 6 8 10 21 (a) + + + 25 33 41 (i) 3…

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Q: Determine the union X ∪ Y. Express them in interval notation. X = {x/x>-17 } and Y = {x/x<equal-10…

A: Introduction: The number of elements carried by the operation and executing the results of a…

Q: Graph on a number line the following functions: 1. {x|XE R, -31}

A: We have to graph the function on number line.

Q: a. ΣΧ = 225 ΣΥ – 22 Σ? = 9653 ΣΥ 143 ΣΧΥ – 651 n=6 E

A: Note: According to Bartleby expert guidelines, we can answer only first question with their three…

Q: 5 Find the least common denominator of X 11 and 4 8x+5' X 3

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Q: Q.10 If x = -1, then the value of x* is

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Q: Compute |A| for the following:

A: Given: A=2100121001210012