Answer:
Step-by-step explanation:
We have two random variables X and Y. 
and given that X=x, Y has uniform distribution (0,x)
From the definition of the uniform distribution we have the densities for each random variable given by:
And on this case we can find the joint density with the following formula:
And multiplying the densities we got this:
Now with the joint density we can find the expected value E(Y|x) with the following formula:
And replacing we got:
Answer:
5
Step-by-step explanation:
Slope (m) =
ΔY
ΔX
=
5
1
= 5
θ =
arctan( ΔY )
ΔX
= 78.69006752598°
ΔX = 1 – -3 = 4
ΔY = 2 – -18 = 20
Distance (d) = √ΔX2 + ΔY2 = √416 = 20.396078054371
Equation of the line:
y = 5x – 3
When x=0, y = -3
When y=0, x = 0.6
Answer: 8x^2° + 52x° + 27°
Using the knowledge i know i think this is the right answer
Have a great day :)
You have to use these facts:
1) The derivative of a sum is the sum of the derivatives
2) d[x^n] / dx = n x ^ (n - 1)
3) d [a(f(x) ] / dx = a d [f(x)] / dx
=> d [x^3 + 3x^2 + 5] / dx = d[x^3]/dx + 3d[x^2]/dx + 0
= 3x^2 + 6x
Answer: option D. 3x^2 + 6x
