this table shows jills math quiz scores. what is the minimum score she needs on her next quiz to have a mean…
this table shows jills math quiz scores. what is the minimum score she needs on her next quiz to have a mean of at least 92?\njills math quiz scores\n| week | math quiz score |\n| ---- | ---- |\n| 1 | 92 |\n| 2 | 96 |\n| 3 | 94 |\n| 4 | 88 |
Answer
Explanation:
Step1: Calculate sum of current scores
$92 + 96+94 + 88=370$
Step2: Set up equation for mean
Let the score on the next quiz be $x$. The mean of 5 scores should be at least 92. So, $\frac{370 + x}{5}\geq92$.
Step3: Solve the inequality
Multiply both sides of the inequality by 5: $370+x\geq92\times5$. $370+x\geq460$. Subtract 370 from both sides: $x\geq460 - 370$. $x\geq90$.
Answer:
90