On average, a pair of bike tires can last 18 months if used every day. The length of time bike tires can last is exponentially distributed.

Question

On average, a pair of bike tires can last 18 months if used every day. The length of time bike tires can last is exponentially distributed. Eighty percent of bike tires last at most how long if used every day?

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Margaret 2 weeks 2021-09-13T22:46:36+00:00 1 Answer 0

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    2021-09-13T22:48:35+00:00

    Answer:

    We conclude that eighty percent of bike tires last at most 14.4 months.

    Step-by-step explanation:

    We know that a pair of bike tires can last 18 months if used every day.

    We calculate how much eighty percent of the tire will last in months.

    We have the following proportion:

    18:100\%=x:80\%\\\\100x=18\cdot 80\\\\100x=1440\\\\x=\frac{1440}{100}\\\\x=14.4

    We conclude that eighty percent of bike tires last at most 14.4 months.

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