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\( 1 \leftarrow \) A study was conducted of pleas made by 1,035 criminals. Among those criminals, 959 pled guilty, and 396 of them were sentenced to prison. Among the 76 other criminals, who pled not guilty, 52 were sent to prison. Complete (a) through (d). a. What percentage of the criminals pled guity? \( 92.7 \% \) (Round to the nearest tenth as needed.) b. What percentage of the criminals were sent to prison? \( 433 \% \) (Round to the nearest tenth as needed.) c. Among those who pled guilty, what is the percentage who were sent to prison? \( \% \% \) (Round to the nearest tenth as needed.)

Ask by Vaughan Hodges. in the United States
Mar 14,2025

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**a. Percentage of criminals who pled guilty:** 92.7% **b. Percentage of criminals who were sent to prison:** 43.3% **c. Percentage of those who pled guilty who were sent to prison:** 41.3%

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Beyond the Answer

To solve this problem, we can break it down as follows: **a. What percentage of the criminals pled guilty?** To find the percentage of criminals who pled guilty, divide the number of guilty pleas by the total number of criminals and multiply by 100. \[ \text{Percentage pled guilty} = \left( \frac{959}{1035} \right) \times 100 \approx 92.6\% \] So, rounding to the nearest tenth, that would be \( \boxed{92.7\%} \). **b. What percentage of the criminals were sent to prison?** To find the percentage of criminals sent to prison, sum the number of criminals sentenced to prison (396 guilty + 52 not guilty) and divide by the total number of criminals. \[ \text{Total sent to prison} = 396 + 52 = 448 \text{Percentage sent to prison} = \left( \frac{448}{1035} \right) \times 100 \approx 43.3\% \] So, rounding to the nearest tenth, that would be \( \boxed{43.3\%} \). **c. Among those who pled guilty, what is the percentage who were sent to prison?** Here, we just need to divide the number of guilty individuals sentenced to prison by the total number who pled guilty and multiply by 100. \[ \text{Percentage of guilty pleas sent to prison} = \left( \frac{396}{959} \right) \times 100 \approx 41.3\% \] So, rounding to the nearest tenth, that would be \( \boxed{41.2\%} \). Is there anything else you need assistance with?

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