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The lake has approximately 238 fish.
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To estimate the total fish population in the lake, you can use the capture-recapture method. The proportion of tagged fish in the sample should reflect the proportion of tagged fish in the entire population. With 119 tagged fish and a sample of 22 with 11 tagged, you set up the equation:
, where
is the total fish population. Solving this provides an approximate total fish count of 238 in the lake.
In real-life situations, biologists use this method to monitor wildlife populations. The data gathered helps in conservation efforts, allows for sustainable fishing practices, and aids in understanding ecosystem dynamics. Knowing the fish population not only helps scientists but also supports fishery management, ensuring that anglers can continue to enjoy fishing without jeopardizing the ecosystem!

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