1. **State the problem:** We are given frequencies of students' favorite subjects and need to find the relative frequencies for two combined categories. 2. **Calculate total frequency:** Add all frequencies: $$15 + 14 + 12 + 9 = 50$$ 3. **Part A: Find relative frequency for Math or Science.** - Sum frequencies for Math and Science: $$14 + 12 = 26$$ - Relative frequency as a fraction: $$\frac{26}{50}$$ - Simplify by canceling common factors: $$\frac{\cancel{26}}{\cancel{50}} = \frac{13}{25}$$ - Convert to percent: $$\frac{13}{25} \times 100 = 52\%$$ 4. **Part B: Find relative frequency for Social Studies or Music.** - Sum frequencies for Social Studies and Music: $$9 + 15 = 24$$ - Relative frequency as a fraction: $$\frac{24}{50}$$ - Simplify by canceling common factors: $$\frac{\cancel{24}}{\cancel{50}} = \frac{12}{25}$$ - Convert to decimal: $$\frac{12}{25} = 0.48$$ 5. **Conclusion:** Your answers are correct. - Part A: 52% relative frequency for Math or Science. - Part B: 0.48 relative frequency for Social Studies or Music.