SOLUTION: Shea made 11 of her first 17 free-throw attempts. What is the minimum number of her next 20 free-throw attempts that she must make for her overall success rate to be at least 80%?

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Question 217486: Shea made 11 of her first 17 free-throw attempts. What is the minimum number of her next 20 free-throw attempts that she must make for her overall success rate to be at least 80%? Express your answer to the nearest whole number.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(11+x)/(17+20)>.8
(11+x)>.8*37
11+x>29.6
x>29.6-11
x>18.6 or 19 out of the next 20 free throws needs to be made for an 80% ave.
Proof:
30/37=.81%