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Let X model the racing times for local high school track athletes in the 400-meter dash....

Let X model the racing times for local high school track athletes in the 400-meter dash. Assume that X is normally distributed with a mean of 60 seconds and a standard deviation of 4.7 seconds. To go to the State Competition, a runner must have a 400-meter race time in the bottom 8% of times. If an athlete wants to go to the State Competition, what time must she/he beat?

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