QUESTION IMAGE
Question
in a students calculus class, the final grade is based on four categories. the categories, grades in percentages), and weights are shown in this table.
| category | grade % | weight % |
|---|---|---|
| labs | 41 | 8 |
| assignments | 93 | 14 |
| final exam | 80 | 51 |
compute a weighted average to determine the students overall final grade in the course. convert the weight percentages to decimals before multiplying them times the grades. record the grade below as a percentage. round accurately to two decimal places.
overall grade: %
question help: message instructor
Step1: Convert weights to decimals
$27\% = 0.27$, $8\%=0.08$, $14\% = 0.14$, $51\%=0.51$
Step2: Calculate weighted - grade for each category
Tests: $88\times0.27 = 23.76$
Labs: $41\times0.08 = 3.28$
Assignments: $93\times0.14 = 13.02$
Final Exam: $80\times0.51 = 40.8$
Step3: Sum up the weighted - grades
$23.76+3.28 + 13.02+40.8=80.86$
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$80.86$