To calculate your overall grade including the final exam, we can use the weights of the grades. Here’s how to do that step-by-step:
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Determine the components of your current grade and the final exam:
- Your current overall grade (before the final exam) is 79, and it accounts for 80% of your overall grade.
- The final exam score is 47.6, and it accounts for 20% of the overall grade.
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Calculate the weighted contributions of each component:
- Weight of current grade: \( 79 \times 0.80 = 63.2 \)
- Weight of final exam grade: \( 47.6 \times 0.20 = 9.52 \)
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Add the weighted components to get the overall grade:
- Overall grade = Weighted current grade + Weighted final exam grade
- Overall grade = \( 63.2 + 9.52 = 72.72 \)
Your overall grade after including the final exam would be approximately 72.72.