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Answer:
Out of the 85 home-schooled students surveyed:
- 70 students receive their education entirely at home.
- 10 students attend school up to 9 hours per week.
- 5 students spend from 9 to 25 hours per week at school.
Step-by-step explanation:
1. Understanding the Statistics:
- According to the government, 82% of home-schooled students receive their education entirely at home.
- 12% of home-schooled students attend school up to 9 hours per week.
- 6% of home-schooled students spend from 9 to 25 hours per week at school.
2. Survey of 85 Home-Schooled Students:
- We need to determine how many students in the survey fall into each category based on the percentages given.
3. Calculate the Number of Students in Each Category:
- Entirely at home:
- 82% of 85 students
- Calculation: \( 0.82 \times 85 = 69.7 \)
- Since we are dealing with students, we round to the nearest whole number: 70 students
- Up to 9 hours per week:
- 12% of 85 students
- Calculation: \( 0.12 \times 85 = 10.2 \)
- Rounded to the nearest whole number: 10 students
- From 9 to 25 hours per week:
- 6% of 85 students
- Calculation: \( 0.06 \times 85 = 5.1 \)
- Rounded to the nearest whole number: 5 students
4. Summary of the Survey Results:
- 70 students receive their education entirely at home.
- 10 students attend school up to 9 hours per week.
- 5 students spend from 9 to 25 hours per week at school.