to monitor the population of mule deer, wildlife officials marked 20 mule deer. later, they flew over the…

to monitor the population of mule deer, wildlife officials marked 20 mule deer. later, they flew over the area and counted 400 mule deer, of which 10 were marked. to the nearest whole number, what is the best estimate for the mule deer population?

to monitor the population of mule deer, wildlife officials marked 20 mule deer. later, they flew over the area and counted 400 mule deer, of which 10 were marked. to the nearest whole number, what is the best estimate for the mule deer population?

Answer

Answer:

800

Explanation:

Step1: Set up proportion

Let $x$ be the total mule - deer population. The proportion is $\frac{marked\ deer\ in\ sample}{total\ deer\ in\ sample}=\frac{total\ marked\ deer}{total\ deer\ population}$, so $\frac{10}{400}=\frac{20}{x}$.

Step2: Cross - multiply

$10x = 400\times20$.

Step3: Solve for $x$

$x=\frac{400\times20}{10}=800$.