Question

final grade an instructor grades exams, 30%; term paper, 40%; and final exam, 30%. a student had grades of 78, 81, and 86, respectively, for exams, term paper, and final exam. find the students final average. use the weighted mean. the students final average is \boxed{}.

Explanation:

Step1: Convert weights to decimals

$30\% = 0.3$, $40\% = 0.4$, $30\% = 0.3$

Step2: Calculate weighted terms

$78 \times 0.3 = 23.4$, $81 \times 0.4 = 32.4$, $86 \times 0.3 = 25.8$

Step3: Sum weighted terms

$23.4 + 32.4 + 25.8 = 81.9$

Answer:

81.9