A watch manufacturer claims that its watches gain or lose no more than 8 seconds in a year. How accurate are these watches, expressed as a p

Question

A watch manufacturer claims that its watches gain or lose no more than 8 seconds in a year. How accurate are these watches, expressed as a percentage?

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Thiên Ân 6 months 2021-07-30T04:56:45+00:00 1 Answers 24 views 0

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    2021-07-30T04:58:02+00:00

    Answer:

    Accurate at 99.9999746%

    Explanation:

    First of all, let’s calculate how many seconds we have in a year which has 365 days.

    1day = 24 × 60 × 60 seconds = 86400 s

    Thus, for 365 days, we have;

    86400 × 365 = 31536000 seconds

    Now, since 1 year has 31536000 seconds, let’s find the ratio of efficiency.

    We are told that the watch manufacturer claims that its watches gain or lose no more than 8 seconds in a year. Thus, efficiency is given by;

    Efficiency = (8/31536000) × 100% = 0.00002536783 %

    Thus, it will be be accurate at;

    100% – 0.00002536783% ≈ 99.9999746%

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