Question

An island has 12 fur seal rookeries​ (breeding places). To estimate the fur seal pup population in Rookery​ A, 6048 6048 fur seal pups were tagged in early August. In late​ August, a sample of 1200 1200 pups was​ observed, and 217 217 of these were found to have been previously tagged. Use a proportion to estimate the total number of fur seal pups in Rookery A.The estimated total number of fur seal pups in Rookery A is _____________.

Answer 1

Answer: The estimated total number of fur seal pups in Rookery A is 1100.

Step-by-step explanation:

Let the total number of fur seal pups in Rookery A be 'x'.

Number of fur seal pup population in Rookery A = 6048

if the number of sample pups = 1200

Number of fur seal pups among them = 217

So, Using this proportion, we get that

$\dfrac{x}{6048}=\dfrac{217}{1200}\\\\x=\dfrac{6048\times 217}{1200}\\\\x=1093.68$

So, the estimated total number of fur seal pups in Rookery A is 1100.