Determine E [X Y]. Note that X and Y are dependent. Show that X and Y are uncorrelated. Determine Var(X + Y). Determine Var(X – Y).

Q: Let f (x) + 4. Evaluate f (-8). 2 (2 f(-8) = Number

A:

Q: In music, when going up an octave you double the frequency. For instance, if one note has a…

A: 1) Given that when going up an octave we double the frequency. If one note has a frequency of 400…

Q: Differenti ate each function ) y= V+ In (+*)

A: This question is based on chain rule differentiation.

Q: Describe differences between (fog)(x) and (gof)(x). Give examples

A:

Q: Evaluate the function at the points (-8, 0), (6, -6), and (0,24). k(x, y) = xe-3 (Express numbers in…

A:

Q: following table. Procurement Cost($) 10 11 12 on is Probability 0.25 0.45 0.30 Labor Cost ($) 20 22…

A: Given data: Procurement cost Probability Labor cost Probability Transportation cost Probability…

Q: Let f (x) = + 6 . Evaluate f(-6). 2 (2 f(-6) = Number || 1/2

A: Given f(x)=-1212x+6   To Evaluate f(-6)=

Q: Determine the interval(s) where the function ƒ(x) = −(x − 5)² is increasing. Submit your answer in…

A:

Q: dC dL If 3C +6L-CL2 determine-, where L is an independent variable and C is a function of L

A: The equation in terms of L and C, is

Q: Let f = {(5,3),(8,9),(3,8)} and g = 5x +4. Find f(3) + g(3). %3D

A: Given that f = { (5, 3), (8, 9), (3, 8) } Clearly we can say that f(3) = 8 as (3,8) belongs to f

Q: Help: Suppose X ∼ Unif(a, b). Find Var(X).

A: Suppose X ∼ Unif(a, b).

Q: The functiong (x) = |x² – 16| + 5is differentiable everywhere except where x = Type the value of x.…

A: Consider the function g(x)=|x2-16|+5. This can be written as g(x)=x2-16+5, if x≤-4-x2-16+5, if…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: