In a math class, tests are 50% of your grade, homework is 30% of your grade, test reviews are 5% of your grade, and the final exam is 15% of your grade. At the end of the semester, your test average is 64, your homework average is 95, and your review average is 75. What score do you need on the final exam to get a C (72%) in the class? (Round your answer to 2 decimal places.)

To calculate the score needed on the final exam to get a C (72%) in the class, we first need to calculate the weighted averages for the tests, homework, and reviews.

1. For the tests, which are 50% of the grade, we multiply the average score (64) by the weight (0.50): 64 * 0.50 = 32
2. For the homework, which is 30% of the grade, we multiply the average score (95) by the weight (0.30): 95 * 0.30 = 28.5
3. For the reviews, which are 5% of the grade, we multiply the average score (75) by the weight (0.05): 75 * 0.05 = 3.75

Next, we add these weighted averages together to get the current grade without the final exam: 32 + 28.5 + 3.75 = 64.25

To get a C in the class, you need a total average of 72. So, we subtract the current grade from the desired grade to find out what weighted score you need on the final exam: 72 - 64.25 = 7.75

However, the final exam is worth 15% of the grade. So, to find out the actual score needed on the final exam, we divide the weighted score by the weight of the final exam: 7.75 / 0.15 = 51.67

Therefore, you need to score approximately 51.67 on the final exam to get a C in the class. However, this is a very low score and it would be better to aim for a higher score on the final exam to ensure a C grade.