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To calculate the final weighted mean grade, we need to calculate the weighted scores for each category first.
Assignments: (17/20) * 15% = 12.75%
Quizzes: ((10/10) + (9/10) + (8/10)) / 3 * 5% = 7.22%
Presentation: (66/100) * 25% = 16.5%
Final Exam: 82% * 45% = 36.9%
Now, add up all the weighted scores:
12.75% + 7.22% + 16.5% + 36.9% = 73.37%
Therefore, PINK's final weighted mean grade in her Music class is 73.37%.