John made 84 baskets out of 200 shots during the season up until tonight's basketball game. He figures he'll get a chance to shoot about 20 times tonight. What percentage must he make in tonight's game to raise his shooting percentage to exactly 45% for the season? (Shooting percentage is determined by dividing the number of baskets hit, by the number of shots taken.)
John made 84 baskets out of 200 shots during the season up until tonight's basketball game. He figures he'll get a chance to shoot about 20 times tonight. What percentage must he make in tonight's game to raise his shooting percentage to exactly 45% for the season? (Shooting percentage is determined by dividing the number of baskets hit, by the number of shots taken.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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John made 84 baskets out of 200 shots during the season up until tonight's basketball game. He figures he'll get a chance to shoot about 20 times tonight. What percentage must he make in tonight's game to raise his shooting percentage to exactly 45% for the season? (Shooting percentage is determined by dividing the number of baskets hit, by the number of shots taken.)
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Step 1
Given that John made 84 baskets out of 200 shots during the season up until tonight's basketball game.
He'll get a chance to shoot about 20 times tonight. So the total number of shots=
Let he will have to basket x times.
So total number of shots = 200+4000= 4200
And the total number of baskets= 84+x
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