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Answer :
Final answer:
To determine Mike's required test average, we need to consider his current grades and the weightage given to each category. By substituting the values into the formula, we find that Mike's test average needs to be 59.1% or higher for him to receive a grade of 90 or higher.
Explanation:
To determine Mike's required test average, we need to consider his current grades and the weightage given to each category. Let's first calculate his weighted average for quizzes, homework, and notebooks:
- Quiz average (weighted): 87 * 20% = 17.4
- Homework average (weighted): 65 * 10% = 6.5
- Notebook average (weighted): 70 * 10% = 7
Next, let's calculate the total weightage for all categories:
- Total weightage: 60% + 20% + 10% + 10% = 100%
To find out Mike's required test average, we can use the following formula:
Required Test Average = (Target Grade - (Weighted Quiz Average + Weighted Homework Average + Weighted Notebook Average)) / Weightage of Tests
Let's substitute the values:
Target Grade = 90
Weighted Quiz Average = 17.4
Weighted Homework Average = 6.5
Weighted Notebook Average = 7
Weightage of Tests = 60%
Calculating the required test average:
Required Test Average = (90 - (17.4 + 6.5 + 7)) / 60%
Required Test Average = (90 - 30.9) / 60%
Required Test Average = 59.1%
Therefore, Mike's test average needs to be 59.1% or higher for him to receive a grade of 90 or higher.
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