1. **Problem Statement:** Calculate Mike Trout's hitting percentages for hits, runs, and home runs from the 2020 season based on 200 at bats. 2. **Formula:** Percentage = \( \frac{\text{Number of successes}}{\text{Total attempts}} \times 100 \% \) 3. **Calculate decimal values:** - Hits decimal = \( \frac{56}{200} = 0.28 \) - Runs decimal = \( \frac{41}{200} = 0.205 \) - Home runs decimal = \( \frac{17}{200} = 0.085 \) 4. **Convert decimals to percentages:** - Hits percentage = \(0.28 \times 100 = 28\%\) - Runs percentage = \(0.205 \times 100 = 20.5\%\) - Home runs percentage = \(0.085 \times 100 = 8.5\%\) 5. **If Trout had 100 at bats, calculate expected home runs:** - Use proportion: \( \frac{17}{200} = \frac{x}{100} \) - Cross multiply: \(200x = 17 \times 100\) - Simplify: \(200x = 1700\) - Divide both sides by 200: \(x = \frac{1700}{200} = \cancel{\frac{200}{200}} \times \frac{1700}{\cancel{200}} = 8.5\) 6. **Answer:** - Hits: 28% (decimal 0.280) - Runs: 20.5% (decimal 0.205) - Home runs: 8.5% (decimal 0.085) - Expected home runs in 100 at bats: 8.5