The spinner below shows 5 equally sliced slices. Christine spun the dial 40 times and got the following results.

Outcome White Grey Black
Number of spins 12 16 12

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 black.

(b) From Christine’s results, compute the experimental probability of landing on black.

(c) Assuming that the spinner is fair, choose the statement below that is true:
A. As the number of spins increases, we expect the experiment and probabilities to become closer though they might not be equal.
B. The experimental and theoretical probabilities mist always be equal.
C. As the number of spins increases, we expect the experimental and theoretical probabilities to become farther apart.

answer are

step-by-step explanation:

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )

answer: two angles are called supplementary if they add up to 180°. example: the two angles (140° and 40°) are supplementary because they add up to 180°.

step-by-step explanation: