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this table shows jills math quiz scores. what is the minimum score she …

Question

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?

weekmath quiz score
296
394
488

jills math quiz scores
90 92 94 88

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.

Answer:

90