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Q: The average classroom teacher's salary is given by f(x) = 975.06x + 32,906.42, where x is the number…

A: Step 1:Step 2:

Q: :1 S* d(x³). 3

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Q: "/. (e) Evaluate n (c) Evaluate "m(i )

A: We have given

Q: Suppose that j(x) = h¯¹ (x) and that both j and h are defined for all values of x. Let h(6) = 4 and…

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Q: Express the following in the form In(x + a) + ln(x − a) + ln(x² + b), with a, b = N: In(x¹ − 1) = |…

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Q: If E[X] = −3 and Var(X) = 5, then E[(5 + 6X)²] = and Var(3 + 5X) =

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Q: [A] = [ The size of [A] = -5 5 -1 10 4 3 1 -4 by

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Q: Let X1, X2, X3 and X4 be a random sample from population with pdf X, 0 < x < 1 fx(x) = |0,…

A: Given information: The probability distribution function is fXx=x,    0&lt;x&lt;10,    otherwise.

Q: Let x be the number of teachers among 3 people selected randomly from a group  consisting of 3…

A: Probability: Probability is the ratio of favourable outcomes to all other potential outcomes of an…

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

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Q: Suppose that an = 4" a₁x² + 2a₂x³ + 3a3x4 + 4a4x³. as 00 (i) f(n)x+2 n=0 00 (ii) Σ g(n)x¹+1 n=1 00…

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Q: Let X be a random variable from the Pareto distribution with probability density function {(=10) = {…

A: Solution

Q: If E[X] = 5 and Var(X) = 4, then E[(4 + 5X)²] = [] and Var(3+5X) 0

A: Given that :E(X)= 5 and Var( X )=4 .For a random variable X…

Q: Let f(x) f-¹(-2) = x + 3 x + 6

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Q: 3 2 1 Let u [-]--[-]-[] -3 V 2 and w= 1 0 -1 4 (a) Show that B = {u, v, w} is an orthogonal basis.

A: The given vectors are:  u=3-30, v=22-1, w=114. (a) To show: {u,v,w} is an orthogonal basis. (b) To…

Q: Suppose L(x) = "x is a llama" and E(x) = "x is an emperor." Do the following to statements mean the…

A: Consider the given information:

Q: Show that (an) is increasing

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Q: (153) (b) Let g(x) = 2***. Find g (x).

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Q: If E[X 4 and Var(X) 1, then E(1 + 5X)²] - and Var(2 + 4X)

A: GivenE(X)=4Var(X)=1

Q: Let f(x) 273 find f(") (x). O a. (-1)"(2+2)! 4743 O b. (-1)" '(2+2)! 4013 O c. (-1)" (2- 2)! O d…

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Q: dx (1)(- 2e * )

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Q: Evaluate each of the following expressions using the given table of values 2 (a) f(g(-1)) 1 2 (a)…

A: x-2-1012f(x)-10-21-1g(x)210-10The values of different functions at different inputs are given

Q: Find the inverse of g (x) = ÷x +. g1 (x) = *x -

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Q: [cx)= (x+1) 「cx)-(x_)[cxー1) (xー1)「cx-1) [(-x)= [(1-x) |

A: Γ(x)=∫0∞tx-1e-tdt  for x&gt;0Γ(x+1)=∫0∞txe-tdt =-txe-t0∞+x∫0∞tx-1e-tdt=xΓ(x)⇒Γ(x)=Γ(x+1)x Now,…

Q: Show that E( X - K )2 = var( X) + [E(X) - K]2

A: var(X)=E(X2)-E(X)2 E(a)=a  where a is constant (a-b)2=a2-2ab+b2

Q: If g (x)= x+3 -. find g(g(g(1))). and g(g(g(g(1))). g(g(g(1))) =| g(g(g(g(1))) =

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Q: Given g(x) = ex, evaluate each of the following. (a) g(In 3) (b) g[In (62)] (c) g In

A: The function is given by gx = ex To evaluate:  a gln3b gln62c gln1e2

Q: (4) = {KG* x – x), 0, if 1<x< 3 f(x) otherwise

A: Given information: Let X be any continuous random variable. The probability density function of X is…

Q: A) If T (;) = () and T () = (). Find T((;) +2(^) +2(;) ( 5pts)

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