Answer: −1.409
Step-by-step explanation:
Probability of drawing 3 hearts: 13/52 * 12/51 * 11/50 = 0.013
Probability of drawing 3 black cards: 26/52 * 25/51 * 24/50 = 0.118
Probability of other draw: 1 - 0.013 - 0.118 = 0.869
0.013 * (50 - 5) = 0.585
0.118 * (25 - 5) = 2.353
0.869 * (0 - 5) = -4.347
Expected value: 0.585+ 2.353 - 4.347 = -1.409
If she can ride her bike 3 miles in 24 minutes how far can she ride her bike in 72minutes. So, if we find out how many times 24 goes into 72 (by dividing it) then times the answer by 3 because that’s how many miles she can do in 24 min. That will give you the answer e.g
Sally can ride her bike 4 miles in 12 minutes so how far can she ride her bike in 24 minutes. You do:
_2_. 2x 4 = 8 so she would be able to
12) 24. Do 8 miles I. 24 minutes.
Either 175.25 ( 175.2 + 0.1/2) or 175.15 ( 175.2 - 0.1/2) ----------> Range. 175.15 < weight < 175.25
We are given an equation:

This is an equation of a circle. General form of a circle equation is:

Where:
a = x coordinate of a center
b = y coordinate of a center
r = radius of a circle
Motion detector can detect person anywhere within a boundary. The greatest distance at which detector can detect is at the edge of a circle. That distance, between detector and edge of circle, is equal to radius.
From the equation we have:

The greatest distance at which person can be detected is 4ft.
8*100=20*x
800 =20x
40 =x
40 items are in the basket