Jenny has five exam scores of 8989, 8585, 7979, 7777, and 7676 in her history class. What score does she need on the final exam to have a mean grade of 8080? Round your answer to two decimal places, if necessary. (All exams have a maximum of 100100 points.)
Question
Jenny has five exam scores of 8989, 8585, 7979, 7777, and 7676 in her history class. What score does she need on the final exam to have a mean grade of 8080? Round your answer to two decimal places, if necessary. (All exams have a maximum of 100100 points.)
Solution
To find out what score Jenny needs on her final exam to have a mean grade of 80, we first need to find out the total points she has scored so far and the total points she needs to reach a mean of 80.
Step 1: Add up Jenny's current scores: 8989 + 8585 + 7979 + 7777 + 7676 = 40906
Step 2: Calculate the total points she needs to have a mean of 80. Since there are 6 exams in total (5 she has already taken and 1 final exam), she needs: 80 * 6 = 480 points
Step 3: Subtract the total points she has already scored from the total points she needs: 480 - 40906 = -41426
So, Jenny needs to score -41426 on her final exam to have a mean of 80. However, since it's impossible to score negative points on an exam, it's impossible for Jenny to reach a mean of 80. There seems to be a mistake in the question as the scores provided are much higher than the maximum of 100 points per exam.
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