Question

in a students history class, the final grade is based on four categories. the categories, grades in percentages), and weights are shown in this table. category grade % weight % tests 92 30 labs 66 8 assignments 49 17 final exam 80 45 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: \( 30\% = 0.30 \), Labs: \( 8\% = 0.08 \), Assignments: \( 17\% = 0.17 \), Final Exam: \( 45\% = 0.45 \)

Step2: Calculate weighted grades

Tests: \( 92 \times 0.30 = 27.6 \)
Labs: \( 66 \times 0.08 = 5.28 \)
Assignments: \( 49 \times 0.17 = 8.33 \)
Final Exam: \( 80 \times 0.45 = 36 \)

Step3: Sum weighted grades

\( 27.6 + 5.28 + 8.33 + 36 = 77.21 \)

Answer:

77.21