for an avian research study, scientists wanted to estimate the local robin population. the scientists…

for an avian research study, scientists wanted to estimate the local robin population. the scientists captured, tagged, and released 42 robins. a week later, they noted 28 tagged robins out of the 468 robins they counted. to the nearest whole number, what is the best estimate for the robin population?

for an avian research study, scientists wanted to estimate the local robin population. the scientists captured, tagged, and released 42 robins. a week later, they noted 28 tagged robins out of the 468 robins they counted. to the nearest whole number, what is the best estimate for the robin population?

Answer

Explanation:

Step1: Set up proportion

Let $x$ be the total robin population. The proportion is $\frac{42}{x}=\frac{28}{468}$.

Step2: Cross - multiply

$28x = 42\times468$.

Step3: Solve for $x$

$x=\frac{42\times468}{28}$. First, calculate $42\times468 = 19656$. Then, $\frac{19656}{28}=702$.

Answer:

702