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Suppose commute times in a large city are normally distributed and that $65\mathrm{.}20\%$ of commuters in this city take more than $21$ minutes to commute one way. If the standard deviation of such commutes is $5\mathrm{.}9$ minutes, what is the mean commute?

$($Round your answer to $3$ decimal places, e$.$g$.2\mathrm{.}531.)$

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