The spinner below shows 5 equally sized slices. Yolanda spun the dial 20 times and got the following results Outcome Grey 7 White 7 Black 6 Number of Spins
. Fill in the table below. Round your answers to the nearest thousandth. (a) Assuming that the spinner is fair, compute the theoretical probability of landing on grey.

(b) From Yolanda's results, compute the experimental probability of landing on grey.

(c) Assuming that the spinner is fair, choose the statement below that is true:

As the number of spins increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.

As the number of spins increases, we expect the experimental and theoretical probabilities to become farther apart.

The experimental and theoretical probabilities must always be equal.

Step-by-step explanation:

There are 5 equal areas. 2 of them are gray

2/5 = 0.4

P(gray) = 0.4

The experimental probability is 7/20 = 0.35

The first statement is the correct one. Computers like figuring out these kinds of questions. If you did this a million times, you would come very close, if not exactly, to 0.4

Step-by-step explanation:

For the first table, to find y, we have to substitute each value of x into the equation.

y = - 3 + 3 = 0 so -3 is going to have the y value as 0

y = -2 + 3 = 1 so -2 is going to have the y value as 1

y = -1 + 3 = 2 so -1 is going to have the y value as 2

y = 0 + 3 = 3 so 0 is going to have the y value as 3

y = 1 + 3 = 4 so 1 is going to have the y value as 4

y = 2 + 3 = 5 so 2 is going to have the y value as 5.

For the next table:

y = 2(-3) + 1 = -5 so -3 is going to have the y value as -5

y = 2(-2) + 1 = -3 so -2 is going to have the y value as -3

y = 2(-1) + 1 = -1 so -1 is going to have the y value as -1

y = 2(0) + 1= 1 so 0 is going to have the y value as 1

y = 2(1) + 1 = 3 so 1 is going to have the y value as 3

y = 2(2) + 1 = 5 so 2 is going to have the y value as 5

For the next table:

y = 2(-3) - 3 = -9 so -3 is going to have the y value as -9

y = 2(-2) - 3 = -7 so -2 is going to have the y value as -7

y = 2(-1) - 3 = -5 so -1 is going to have the y value as -5

y = 2(0) - 3 = -3 so 0 is going to have the y value as -3

y = 2(1) - 3 = -1 so 1 is going to have the y value as -1

y = 2(2) - 3 = 1 so 2 is going to have the y value as 1