omar is monitoring the population of red kangaroos in the deserts of australia. omar catches 141 red…

omar is monitoring the population of red kangaroos in the deserts of australia. omar catches 141 red kangaroos, tags them, and releases them. a little while later, a helicopter pilot takes an aerial photograph of 460 red kangaroos, 47 of which are marked. to the nearest whole number, what is the best estimate for the red kangaroo population?

omar is monitoring the population of red kangaroos in the deserts of australia. omar catches 141 red kangaroos, tags them, and releases them. a little while later, a helicopter pilot takes an aerial photograph of 460 red kangaroos, 47 of which are marked. to the nearest whole number, what is the best estimate for the red kangaroo population?

Answer

Explanation:

Step1: Set up proportion

Let $x$ be the total red - kangaroo population. The proportion of marked kangaroos in the sample is equal to the proportion of marked kangaroos in the total population. So, $\frac{47}{460}=\frac{141}{x}$.

Step2: Cross - multiply

$47x = 141\times460$.

Step3: Solve for $x$

First, calculate $141\times460 = 64860$. Then, $x=\frac{64860}{47}=1380$.

Answer:

1380