Question

in dominiques chemistry class, the final grade is based on four categories. the categories are tests, labs, homework assignments, and a final exam. the final average for the course is the weighted average of scores earned in these categories with the following weights.

category	weight
labs	25%
tests	25%
final exam	40%

suppose dominique earned the following grades on each of the categories:

homework	46%
labs	63%
tests	60%
final exam	78%

determine dominiques weighted average in the course.
record the average below as a percentage accurate to two decimal places.
course average: %

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Explanation:

Step1: Convert weights to decimals

$0.10$ (homework weight), $0.25$ (labs weight), $0.25$ (tests weight), $0.40$ (final - exam weight)

Step2: Multiply each grade by its weight

Homework: $0.10\times46 = 4.6$
Labs: $0.25\times63 = 15.75$
Tests: $0.25\times60 = 15$
Final Exam: $0.40\times78 = 31.2$

Step3: Sum up the products

$4.6+15.75 + 15+31.2=66.55$

Answer:

$66.55$