Question

a baseball player has been able to hit 2 of the last 7 pitches thrown at him that were in the strike zone. based on this record, how many of the next 63 pitches thrown within the strike zone would you expect the baseball player to hit? show your work here

Explanation:

Step1: Calculate the hit rate

The hit rate is the ratio of the number of hits to the number of pitches. The player hit 2 out of 7 pitches, so the hit rate \(r=\frac{2}{7}\).

Step2: Use the hit rate to predict the number of hits for 63 pitches

Let \(x\) be the number of hits for 63 pitches. We know that the hit rate remains the same. So we set up a proportion \(\frac{2}{7}=\frac{x}{63}\). Cross - multiply gives \(7x = 2\times63\). Then \(7x=126\). Solve for \(x\) by dividing both sides by 7: \(x=\frac{126}{7}\).

Answer:

18