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Question
- if tom is recruiting potential quarterbacks for his football team. devin completes 22 of the 42 pass attempts. toni completes 29 of the 36 pass attempts. billy completes 16 out of 21 pass attempts. who should be tom’s starting quarterback? why? who is tom’s second choice quarterback? why?
Step1: Calculate Devin's completion rate
The completion - rate formula is $\text{Completion Rate}=\frac{\text{Number of Completions}}{\text{Number of Attempts}}$. For Devin, the number of completions is 22 and the number of attempts is 42. So Devin's completion rate is $\frac{22}{42}\approx0.524$.
Step2: Calculate Toni's completion rate
Toni has 29 completions out of 36 attempts. So Toni's completion rate is $\frac{29}{36}\approx0.806$.
Step3: Calculate Billy's completion rate
Billy has 16 completions out of 21 attempts. So Billy's completion rate is $\frac{16}{21}\approx0.762$.
Step4: Compare the completion rates
We compare the three completion rates: $0.806>0.762 > 0.524$, which means Toni > Billy > Devin.
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Tom's starting quarterback should be Toni because Toni has the highest pass - completion rate ($\frac{29}{36}\approx0.806$). Tom's second - choice quarterback should be Billy because Billy has the second - highest pass - completion rate ($\frac{16}{21}\approx0.762$).