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?\n| week | math quiz score |\n| ---- | ---- |\n| 1 | 92 |\n| 2 | 96 |\n| 3 | 94 |\n| 4 | 88 |\njills math quiz scores\n90 92 94 88
Answer
Answer:
90
Explanation:
Step1: Calculate sum of current scores
$92 + 96+94 + 88=370$
Step2: Set up equation for mean
Let $x$ be the next - score. The mean of 5 scores should be at least 92. So, $\frac{370 + x}{5}\geq92$.
Step3: Solve the inequality
Multiply both sides by 5: $370+x\geq460$. Then subtract 370 from both sides: $x\geq460 - 370$. So, $x\geq90$. The minimum score is 90.