She has to score at least 86 on her fifth test.
Further explanation:
We will use the average formula to find the fifth value.
Given
[tex]Average\ required=80\\x_1=81\\x_2=73\\x_3=84\\x_4=76\\x_5=?[/tex]
We have to find x5
The formula for average is:
[tex]x=\frac{Sum\ of\ values}{Total\ number\ of\ values}\\Here,\\n=5\\So,\\x=\frac{x_1+x_2+x_3+x_4+x_5}{5}\\Putting\ values\\80=\frac{81+73+84+76+x_5}{5}[/tex]
[tex]80*5=314+x_5\\400=314+x_5\\x_5=400-314\\x_5=86[/tex]
She has to score at least 86 on her fifth test.
Keywords: Average, Word Problems
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