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 84 robins. a week later, they noted 42 tagged robins out of the 380 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 84 robins. a week later, they noted 42 tagged robins out of the 380 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 $\frac{84}{x}=\frac{42}{380}$.

Step2: Cross - multiply

$42x = 84\times380$.

Step3: Solve for $x$

First, calculate $84\times380 = 31920$. Then $x=\frac{31920}{42}=760$.

Answer:

760