Question

tests homeworks quizzes supp. practices 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 each category is weighted using the corresponding weights.

assignment	weight of grade
homeworks	5%
quizzes	30%
supplemental practices	25%

calculate your weighted average for the four categories to determine your final grade.

your final grade is ______ %.

Explanation:

Step1: Identify each category's score

From the number line:

• Tests: 80 (assuming the first black dot is at 80)
• Homeworks: 86 (assuming the second black dot is at 86)
• Quizzes: 95 (assuming the third black dot is at 95)
• Supplemental Practices: 100 (assuming the fourth black dot is at 100)

Step2: Apply weighted average formula

The weighted average formula is $\text{Weighted Average} = \sum (\text{Score}_i \times \text{Weight}_i)$

• Tests contribution: $80 \times 0.40 = 32$
• Homeworks contribution: $86 \times 0.05 = 4.3$
• Quizzes contribution: $95 \times 0.30 = 28.5$
• Supplemental Practices contribution: $100 \times 0.25 = 25$

Step3: Sum the contributions

Total weighted average = $32 + 4.3 + 28.5 + 25$
$= 36.3 + 28.5 + 25$
$= 64.8 + 25$
$= 89.8$

Answer:

89.8