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7 June, 08:57

Rangers tagged and released 255 salmon into a Maine lake. A month later, fishermen on the lake were surveyed. They reported catching 60 salmon, 20 of which had tags. Using this sample, estimate the salmon population in the lake.

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  1. 7 June, 12:41
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    773 salmons

    Explanation:

    Total number of salmon caught by fishermen = 60

    Total number of tagged salmon caught = 20

    Percentage of tagged salmon in the sample = 20/60 x 100 = 33.33%

    255 tagged salmon constitutes 33.33% of the entire salmon population

    If the entire population is represented by X

    255 = 33/100 of X

    X = 255 x 100/33

    X = 772.7

    Hence, the salmon population in the lake is approximately 773.
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