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Question: My current weighted average is 97.89%. There are 7 assignments worth 35%, 8 discussions worth 15%, quizzes worth 30%, and project 1 worth 3%, project 2 worth 5%, project 3 worth 7%, and project 4 worth 5%. If the student receives a 85% on project 4 and a 90% on two assignments, and 85% on one discussion. What is the new weighted average?

Given the percentages provided, everything except Project 4, two assignments and one discussion already contributes to the 97.89% weighted average. To find the new average, we will first calculate how much each component contributes to the final grade, then add up these contributions. 1. Assignments: Two assignments with 90% on each amounts to 180%. Since each assignment is worth 35% ÷ 7 = 5% of the total grade, these assignments contribute (180% * 5%)/100 = 9%. 2. Discussions: One discussion with an 85% grade, and since each discussion is worth 15% ÷ 8 = 1.875% of the total grade, this discussion contributes (85% * 1.875%)/100 = 1.59375%. 3. Project 4: One project with an 85% grade and it's worth 5% of the total grade. Thus, Project 4 contributes (85% * 5%)/100 = 4.25%. Adding these up, these new scores are contributing: 9% (from the assignments) + 1.59375% (from the discussion) + 4.25% (from project 4) = 14.84375% Since your previous weighted average of 97.89% takes into account the rest of the elements (the quizzes and the projects 1, 2, 3, and the rest of assignments and discussions), the new average will be: 97.89% + 14.84375% = 112.73375%. However, an average percentage above 100% doesn't make sense in the traditional sense. It appears you may have miscalculated. If the initial 97.89% already incorporated all the listed score percentages, then adding new scores without removing the respective old ones would naturally overshoot it beyond 100%. It would be necessary to know the scores you initially had in the categories where new scores were added to calculate the correct new average.

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