Directions: Find (by inspection) the expected value and variance of the exponential random variable with the density function given below. 1. Expected Value: E(X) 2. Variance: Var (X) = f(2)=1/12e-²/2

Q: Solve the following quadratic for x: -6(x-12)(x+9) = 0 %3D O x = -6 and x = 21 O x = 12 and x = -9 O…

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Q: 12. 5 In(3x) dx 5ln (3x) + C 4

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Q: How is 1/2 (x+5)-4=1/3 (2x-1) solved for an answer?

A: The given equation is 1/2(x+5) -4 = 1/3(2x-1).

Q: if a14=16 and d=-3/2 find a1

A: Solution:  Given that   a14=16 and   d=-32 then we have to find a1 since  we know that ,…

Q: Solve for the mL CAB B (6x-125) A (2x +39)⁰ POB M

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Q: 4x= o +4 X+1'

A:

Q: Simplify 1/2 + 2/3 x 5/12

A: First, we need to identify the operations in the given expression. We have addition (+) and…

Q: 1. 4x + 7 = 3x + 4 - x

A: To solve 4x+7=3x+4-x

Q: 0.6(10x+19) = 2.8(0.2x + 5)

A: Determine the value of X.   The value of X is obtained by solving the given equation below as…

Q: Z = -3 - 12 (−5+ ¡7) e 130⁰ express in both rectangular and exponential forms

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Q: How is b equal to zero?

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Q: x + 5 / 10 = 1/5 + x - 2 / 6

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Q: If r(x)= 3/x-3 find r(a2) and write the answer as one fraction

A: We have to plug x=a^2

Q: Solve the equation 6/5y - 1/6= 1/2 (3y-1)

A: To solve the given equation.

Q: y=3/2x +1/2 4x + 6y =3

A: Let's solve given two linear equations.

Q: (64) 8 X+7=x+3 9 6

A: Algebra

Q: Find the value of the variable 1/3a = 2

A: Given: 13a=2

Q: Solve for x. (x + 2)(3x - 5) = 0 Options: x = -2 x = 2 x = 5/3 x = - 5/3

A: Consider the provided expression, x+23x-5=0 Solve for x. Using the zero factor of principle If ab=0…

Q: i= (2,-1) Suppose %3D and Find 3 - 2ui.

A: Given vector

Q: -3 2/3 . (-2 1/4)   How do you solve this?

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Q: クて0 4/2 2/2x4 3/4x23 3 Y2 x 4%

A: This question is related to numbers and multiplication. We will solve this using given information.

Q: -1 5/6 x 4 6/1 a -11/25 b -9 c 1 d -7 23/36

A: -156×416

Q: d) Solve (0.8x?y³z– 0.6xy²z² +0.4y²) + (0.2y²)

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Q: Solve (2y + 5)dx = 6dy O a. x = 12In(2y+ 5)+ c O b. y = 3In(2x+5) + c C.x =-In(2y +5) + c O d. x =…

A: Given (2y+5)dx = 6dydx6 = dy2y+5

Q: E. Activity No 5: Complete the table. Equation Transformation done to Equation 1 that yields the…

A: 5.Equation 1 and Equation 2 are given, we have to find its transformation and equations Note:…

Q: S (3x + 7)2022 dæ

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Q: Solve for x: 3* - 6(√3)* 27 = 0

A: We see     3x - 6(√3)x - 27          = (√3)2x - 6(√3)x - 27          = (√3)2x - 9(√3)x + 3(√3)x - 27…

Q: Solve F = 2GH +2GK for G. G =

A: To solve F=2GH+2GK for G.

Q: solve and reduce 2/7 divided by 2/3

A: That's easy, just note that anything divided by (a/b) is nothing but that anything multiplied by…

Q: Solve for x: 4(2x – 6) = 10x – 6 O 5 O -7 O -9 O 10

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Q: Which value of x is the solution of x/3 + x+1/2 = x? The slashes are the fraction

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Q: (15x - 8) 226

A: Given,

Q: y >- 3/5x -1

A: we will solve this inequality by the below-mentioned method and also a graph of the given equation…