#7. (5 points each) There were 96 participants who participated in the preliminary for the 100m Freestyle swimming competition. The mean record was 51.94 seconds and the standard deviation was 4.01 seconds.

Only the participants who have their record ranked in the top 10% can go to the final. Answer the following questions.

Carry your intermediate computations to at least three decimal places, and round your answer to two decimal places if needed.

Note that you can assume the normality of the participants' records due to a significantly large number of participants.

(1) Find the maximum record(seconds) to be able to go to the final competition.

(2) Find the percentage of participants with records between 48.43 and 53.95.

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