Answer:
Step-by-step explanation:
Answer:
H.(4, -2) and (-5, 10)
Step-by-step explanation:
We have pairs of point (x,y)
If y decreases as x increases, we have an inverse variation.
In this question:
F.
y increases by 1 when x increases by 2. So not inverse.
G
x increases by 8 when x inches by 2. So not inverse.
H
x goes from -5 to 4, y decreases from 10 to -2. So inverse and H is the answer.
J.
x goes grom -3 to 2, y from -4 to 6, both increase, so this is not the answer.
a. In order for to be a PDF, needs to be non-negative (it is) and the integral over its support must evaluate to 1. is symmetric about , i.e. even, so
and so is indeed a PDF.
b. Let be a random variable with as its PDF. Then
The integrand is odd, so the integral vanishes and the mean is .
The variance of is
The second moment is
This integrand is even, so
Integrate by parts, taking
so that
Integrate by parts again, this time with
and so the variance is .
Answer:
Yes, it does, since all x-coordinate values are different.
Step-by-step explanation:
The trapezoid is isosceles, so PQ is the same length as RS, meaning the trapezoid is symmetrical.
Therefore, R is at (c−a, b).