Given f (5) = 2, f' (5) = 7, g (5) = -1, and g' (5) = 8, find the values of the following. %3D (a) (fg) (5) = Number (4) co) (b) (5) Number

Q: Given g(a) = a2.7 find g'(a).

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Q: 1 If f(3) = – 3,f'(3) = 7, g(3) = and g'(3) = - 4, find the following function value. %3D %3D 3' (6f…

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Q: Suppose E(X) = 2, E(Y) = 18, a = 0.05, and b = 0.95. What is E(aX+bY)? (Please round to two decimal…

A: Given, E(X) = 2, E(Y) = 18, a = 0.05, and b = 0.95

Q: Let f (x) = 3x – 1 and g (x) = (x + 1). Find each of the following values. A. (f o g) (–1) = B. (g o…

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Q: If and . Calculate P(A) = 0.4 P (B) = 0.3, P(An B) = 0.1 P(A|B) Enter your answer with two decimal…

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Q: (a) Yes. (b) No. LE ex²+y² sin ydydx = 0?

A: We have to verify  or not.

Q: If f(x)f(x) is an exponential function where f(−4)=17f(−4)=17 and f(4)=34f(4)=34, then find the…

A: Given, f(x) is an exponential function where, f(−4)=17 and f(4)=34, We have to find the value of…

Q: Graph the following functions on the same axes. (a) f(x) = 4% (b) g(x) = 4*+3 (c) h(x) = 4* -1 (d)…

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Q: fP (A) = = 0.45, P (B) = 0.3, and P (ANB) = 0.1. Calculate P(B|A). Enter your answer with two…

A: P(A)=0.45P(B)=0.3P(A B)=0.1

Q: Find f(0) and f(2) for the given exponential function. f(x) = 5-X %3D f(0) f(2) %3D

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Q: If E(X)= 48, then what is E(4 + 0.83*X)? (Use two decimal places, ex: 12.34)

A: We have given that,  X is a random variable and E(X) = 48 Then,  We will find ,  E(4 + 0.83*X) = ?

Q: Prove the following equation : Cosh(3 x) = 4 cosh³(x) – 3cosh(x)

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Q: Suppose E(X) = 93, E(Y) = 95, a = 0.09, and b = 0.91. What is E(aX+bY)? (Please round to two decimal…

A: The objective of the question is to find the expected value of the linear combination of two random…

Q: Suppose E(X) = 100, E(Y) = 4, a = 0.91, and b = 0.09. What is E(aX+bY)? (Please round to two decimal…

A: The objective of this question is to find the expected value of a linear combination of two random…

Q: If n=10 and p=0.5, find P(x=8) Give at least 4 decimal places.

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Q: The Gini index, given by 2∫10(x−f(x))dx2∫01(x−f(x))dx, is a measure of a country's income equality…

A: 2∫01(x-f(x))dx    , f(x) = x5.3

Q: Suppose the E(X) = 2.5 and Var(X) = 1. If the variable Y is related to X by: Y = 2x - 2, find the…

A: We foil the expected value to obtain  E[(2X−2)2]=E[4X2-8X+4]=4E[X2]−8E[X]+4 We know the mean is 2.5…

Q: Suppose E(X) = 62, E(Y) = 91, a = 0.38, and b = 0.62. What is E(aX+bY)? (Please round to two decimal…

A: E(X) = 62, E(Y) = 91, a = 0.38, and b = 0.62.E(aX+bY)=aE(x)+bE(y)

Q: Given f (x) = 6" . Find the inverse, f (x).

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Q: part 4

A: Solution: It is given here:

Q: Suppose E(X) = 69, E(Y) = 91, a = 0.43, and b = 0.57. What is E(aX+bY)? (Please round to two decimal…

A: Given,E(X) = 69, E(Y) = 91, a = 0.43, and b = 0.57

Q: Suppose E(X) = 77, E(Y) = 48, a = 0.36, and b = 0.64. What is E(aX+bY)? (Please round to two decimal…

A: Given,E(X)=77E(Y)=48a=0.36b=0.64