8. the distance between (3,5) and (9, -3) is:
a. 100
b. 2137
c. 2135
d. 10

10 (Answer D)

Step-by-step explanation:

Here we see that the x-coordinate changes by 6, from 3 to 9, and that the y coordinate changes by 8, from 5 to -3.

We use the Pythagorean Theorem to calculate the distance between these two points.  One leg of a triangle here has length 6 and the other leg has length 8.  Applying this Theorem, we get:

6^2 + 8^2 = [ distance between (3, 5) and (9, -3) ]^2  =  d^2, and so:

d^2 = 36 + 64 = 100.

This distance must be positive.  Thus we take the positive square root of 100, which is 10.  10 is the distance between these two points.

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0

175

step-by-step explanation:

2 inches x 10 miles = 200 miles - 3 inches = 175