to monitor the population of mule deer, wildlife officials marked 34 mule deer. later, they flew over the…

to monitor the population of mule deer, wildlife officials marked 34 mule deer. later, they flew over the area and counted 765 mule deer, of which 17 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 34 mule deer. later, they flew over the area and counted 765 mule deer, of which 17 were marked. to the nearest whole number, what is the best estimate for the mule deer population?

Answer

Explanation:

Step1: Set up the proportion

Let $x$ be the total mule - deer population. The proportion is $\frac{\text{marked deer in first sample}}{\text{total population}}=\frac{\text{marked deer in second sample}}{\text{size of second sample}}$. So, $\frac{34}{x}=\frac{17}{765}$.

Step2: Cross - multiply

Cross - multiplying gives us $17x = 34\times765$.

Step3: Solve for $x$

First, calculate $34\times765 = 26010$. Then, $x=\frac{26010}{17}=1530$.

Answer:

1530