Question

while practicing his baseball hitting, juan found that he hits the ball about 25 out of every 60 at - bats. in a baseball season, juan has 400 at - bats. how many hits should he expect to hit?

Explanation:

Step1: Calculate the hit - rate

The hit - rate is the number of hits divided by the number of at - bats. Juan hits 25 out of 60 at - bats, so the hit - rate $r=\frac{25}{60}=\frac{5}{12}$.

Step2: Predict the number of hits

We use the hit - rate to predict the number of hits in 400 at - bats. Let $x$ be the number of hits. We know that the hit - rate is constant, so $\frac{x}{400}=\frac{5}{12}$. Cross - multiply gives $12x = 400\times5$. Then $x=\frac{400\times5}{12}=\frac{2000}{12}=\frac{500}{3}\approx167$.

Answer:

167