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The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.64 millimeters and a standard deviation of 0.06 millimeters.

The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.64 millimeters and a standard deviation of 0.06

millimeters. Find the two diameters that separate the top 10% and the bottom 10%. These diameters could serve as limits used to identify which bolts should be rejected. Round your answer to the nearest hundredth, if necessary.

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