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Question
final grade an instructor grades exams, 10%; term paper, 70%; and final exam, 20%. a student had grades of 94, 94, and 100, respectively, for exams, term paper, and final exam. find the students final average. use the weighted mean. the students final average is \boxed{}.
Step1: Convert weights to decimals
Exams: $10\% = 0.1$, Term paper: $70\% = 0.7$, Final exam: $20\% = 0.2$
Step2: Calculate weighted terms
Exams: $94 \times 0.1 = 9.4$
Term paper: $94 \times 0.7 = 65.8$
Final exam: $100 \times 0.2 = 20$
Step3: Sum weighted terms
$9.4 + 65.8 + 20 = 95.6$
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95.6