Question

Ms. Malloy, the principal at Louisville Middle School, said that since the school had 100% attendance during the KPREP test, she would be the "target" for the dunking booth at the school carnival. Chris, the pitcher for the baseball team, throws a ball and hits the target 2 out of 3 times.

a.) Write a proportion to determine how many times Chris will most likely hit the target if he throws the ball 20 times?
b.) Solve the proportion. How many times can Chris expect to hit the target?
c.) What percent of the balls thrown by Chris can be expected to hit the target?

Answer 1

Chris can expect to hit the target about 13 times out of 20 throws, which means he can expect to hit the target 65% of the time.

Step-by-step explanation:

Chris hits the target with a ball 2 out of 3 times. To determine how many times he will most likely hit the target if he throws the ball 20 times, we set up a proportion:

2 hits / 3 throws = x hits / 20 throws

To solve for x, we cross-multiply and divide:

2 hits * 20 throws = 3 throws * x hits

40 = 3x

x = 40 / 3

x = 13.33, which we can round down to 13 since you can't hit a target a fraction of a time.

So, Chris can expect to hit the target about 13 times if he throws the ball 20 times.

For the percent that Chris can be expected to hit the target:

13 hits / 20 throws * 100% = 65%

Chris can be expected to hit the target 65% of the time he throws the ball.