Self-Check A student scores 82, 96, 91, and 92 on four college algebra exams. What score is needed on a fifth exam for the student to earn an average grade of 90?

facas9 2020-10-18 Answered
Self-Check A student scores 82, 96, 91, and 92 on four college algebra exams. What score is needed on a fifth exam for the student to earn an average grade of 90?

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Expert Answer

Clelioo
Answered 2020-10-19 Author has 16382 answers

Approach:
Let's assume that a student needs to score x on the fifth exam.
We will use the following formula for calculating average.
\(\displaystyle{A}{v}{e}{r}{a}\ge={\frac{{{S}{u}{m}\ {o}{f}\ {s}{c}{\text{or}}{e}{s}}}{{{N}{u}{m}{b}{e}{r}\ {o}{f}\ {e}{x}{a}{m}{s}}}}\)
Calculation:
\(\displaystyle{A}{v}{e}{r}{a}\ge={\frac{{{S}{u}{m}\ {o}{f}\ {s}{c}{\text{or}}{e}{s}}}{{{N}{u}{m}{b}{e}{r}\ {o}{f}\ {e}{x}{a}{m}{s}}}}\)
\(\displaystyle{90}={\frac{{{82}+{96}+{91}+{92}+{x}}}{{{5}}}}\)
\(\displaystyle{90}={\frac{{{361}+{x}}}{{{5}}}}\)
\(\displaystyle{90}\times{5}={361}+{x}\)
\(\displaystyle{450}={361}+{x}\)
\(\displaystyle{x}={450}-{361}\)
\(\displaystyle{x}={89}\)
Final Statement:
A student needs to score 89 on the fifth college exam.

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