Question

in a students spanish 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	80	8
assignments	84	9
final exam	75	54

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: %

Explanation:

Step1: Convert weights to decimals

Tests: \( 29\% = 0.29 \), Labs: \( 8\% = 0.08 \), Assignments: \( 9\% = 0.09 \), Final Exam: \( 54\% = 0.54 \)

Step2: Calculate weighted grade for each category

Tests: \( 83 \times 0.29 = 24.07 \)
Labs: \( 80 \times 0.08 = 6.4 \)
Assignments: \( 84 \times 0.09 = 7.56 \)
Final Exam: \( 75 \times 0.54 = 40.5 \)

Step3: Sum the weighted grades

\( 24.07 + 6.4 + 7.56 + 40.5 = 78.53 \)

Answer:

78.53