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The lengths of nails produced in a factory are normally distributed with a mean of 4.84...

The lengths of nails produced in a factory are normally distributed with a mean of 4.84 centimeters and a standard deviation of 0.05 centimeters. Find the two lengths that separate the top 3% and the bottom 3%. These lengths could serve as limits used to identify which nails should be rejected. Round your answer to the nearest hundredth, if necessary.

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