Subjects statistics

Expected Social Issues C7D59C

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1. **State the problem:** We want to estimate how many of the 1300 visitors on Sunday will go to the Social Issues section, based on Saturday's visitor distribution. 2. **Identify the data:** On Saturday: - Youth Wing visitors = 384 - Social Issues visitors = 389 - Fiction and Literature visitors = 495 3. **Calculate total visitors on Saturday:** $$384 + 389 + 495 = 1268$$ 4. **Find the proportion of visitors who went to Social Issues on Saturday:** $$\frac{389}{1268}$$ 5. **Use this proportion to estimate Sunday’s Social Issues visitors:** $$1300 \times \frac{389}{1268}$$ 6. **Calculate the estimate:** $$1300 \times \frac{389}{1268} = \frac{1300 \times 389}{1268}$$ 7. **Simplify the fraction by canceling common factors:** $$\frac{\cancel{1300} \times 389}{\cancel{1268}}$$ (Note: 1300 and 1268 do not have obvious common factors, so we proceed with decimal approximation.) 8. **Calculate decimal value:** $$\frac{389}{1268} \approx 0.3067$$ 9. **Multiply:** $$1300 \times 0.3067 \approx 398.7$$ 10. **Round to nearest whole number:** $$399$$ **Final answer:** About 399 people are expected to go to Social Issues on Sunday.