a countrys department of wildlife hires deion to estimate its wild goat population. deion catches 92 goats…

a countrys department of wildlife hires deion to estimate its wild goat population. deion catches 92 goats, tags them, and releases them. then deion uses binoculars to observe a group of 800 goats, 16 of which are tagged. to the nearest whole number, what is the best estimate for the goat population?

a countrys department of wildlife hires deion to estimate its wild goat population. deion catches 92 goats, tags them, and releases them. then deion uses binoculars to observe a group of 800 goats, 16 of which are tagged. to the nearest whole number, what is the best estimate for the goat population?

Answer

Answer:

4600

Explanation:

Step1: Set up proportion

Let $x$ be the total goat population. The proportion is $\frac{92}{x}=\frac{16}{800}$.

Step2: Cross - multiply

$16x = 92\times800$.

Step3: Calculate right - hand side

$92\times800=73600$, so $16x = 73600$.

Step4: Solve for $x$

$x=\frac{73600}{16}=4600$.