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------------------------------------------------ Completion rate for school #1 students:
- 100% of those taking AP classes graduate.
- 80% of those taking no AP classes graduate.

Completion rate for school #2 students:
- 100% of those taking AP classes graduate.
- 90% of those taking no AP classes graduate.

Suppose:
- 20% of students at school #1 take AP classes (80% take no AP classes).
- 60% of students at school #2 take AP classes (40% take no AP classes).

What are the overall graduation rates for students at school #1 and school #2?

To calculate the overall graduation rates for each school, we need to consider the percentage of students in each category (taking AP classes and not taking AP classes), along with their respective graduation rates.

School #1:

AP classes graduation rate: 100%
20% of students take AP classes, and 100% of these students graduate. This contributes 20% to the overall graduation rate.
No AP classes graduation rate: 80%
80% of students do not take AP classes, and 80% of these students graduate. This contributes 0.8 * 80% = 64% to the overall graduation rate.
Overall graduation rate for School #1:
Adding both contributions: 20% + 64% = 84%

School #2:

AP classes graduation rate: 100%
60% of students take AP classes, and 100% of these students graduate. This contributes 60% to the overall graduation rate.
No AP classes graduation rate: 90%
40% of students do not take AP classes, and 90% of these students graduate. This contributes 0.9 * 40% = 36% to the overall graduation rate.
Overall graduation rate for School #2:
Adding both contributions: 60% + 36% = 96%

Thus, the overall graduation rate for School #1 is 84%, and for School #2, it is 96%.