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laws have been instituted in florida to help save the manatee. to estab…

Question

laws have been instituted in florida to help save the manatee. to establish the number in florida, a sample of 95 manatees were marked and let free. a new sample was taken and found that there were 5 marked manatees out of 36 captured. what is the approximate population of manatees in florida? there are approximately manatees in florida.

Explanation:

Step1: Set up proportion

Let $x$ be the total population of manatees. The proportion is $\frac{95}{x}=\frac{5}{36}$.

Step2: Cross - multiply

$5x = 95\times36$.

Step3: Solve for $x$

$x=\frac{95\times36}{5}=95\times7.2 = 684$.

Answer:

684