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24 December, 12:11

Lucia ran the 400-meter race 3 times. Her fastest time was 52.2 seconds. Her slowest time was 56.3 seconds. If Luzia's average time was 54.0 seconds, what was time for the third race?

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  1. 24 December, 15:37
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    53.5 sec

    Step-by-step explanation:

    Given

    Number of times Lucia ran the race=n=3

    Slowest time = x_1=56.3 sec

    Fastest Time = x_2=52.2 sec

    Average time=54.0 sec

    Since, we know the average time and two of the three race times, we can use the average formula to calculate the third race's time.

    Let

    x_3=the third race^' s time

    So,

    Average = (Sum of values) / (Number of values)

    Average = (x_1 + x_2 + x_3) / n

    Putting the values

    54.0 = (56.3 + 52.2 + x_3) / 3

    Multiplying 3 with 54.0 and adding 56.3 and 52.2

    162 = 56.3+52.2 + x_3

    162 = 108.5 + x_3

    x_ (3) = 162-108.5

    x_ (3) = 53.5 sec

    ...
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