College

Samantha is trying to complete the Free Throw wellness challenge. In order to earn her chip, she needs to hit 13 out of 20 free throws on the basketball court. Her last three attempts were 12 out of 20, 10 out of 20, and 9 out of 20. How far is her average free throw percentage from the needed free throw percentage to earn the chip? (Round to the nearest whole number.)

Answer :

Answer:

21 % below what she needs

Step-by-step explanation:

She had hit 12, 10 and 9

This averages to

(12+10+9)/3 = 31/3 =10 1/3

She needs 13

Percentage = (needed-actual)/needed * 100%

= (13-10 1/3) / 13 * 100%

= (2 2/3) /13 * 100%

=.205128205 * 100%

=20.5128205%

To the nearest whole number

21 %

She is 21 % below what she needs

Final answer:

Samantha's current average free throw percentage is 15 percentage points away from the 65% needed to earn her wellness challenge chip.

Explanation:

Samantha is working on improving her free throw percentage in basketball, and she needs to calculate how far her average is from the required target to earn her wellness challenge chip. To determine her average free throw percentage, we first calculate her average number of successful shots by adding her last three attempts and dividing by three: (12 + 10 + 9) / 3 = 31 / 3 = 10.33, rounded to 10 successful shots on average. Since she takes 20 shots each time, her average percentage is (10 / 20) * 100 = 50%.

To earn her chip, she needs to hit 13 out of 20 free throws, which is (13 / 20) * 100 = 65%. The difference between her current average and the needed percentage is 65% - 50% = 15%. Rounding to the nearest whole number, she is 15 percentage points away from the required free throw percentage to succeed in the challenge.