anna, a graduate student, needed to estimate how many catfish were in a local river. first, she marked 360…

anna, a graduate student, needed to estimate how many catfish were in a local river. first, she marked 360 catfish with tags. later, she captured 650 catfish, of which 30 had tags. to the nearest whole number, what is the best estimate for the catfish population?

anna, a graduate student, needed to estimate how many catfish were in a local river. first, she marked 360 catfish with tags. later, she captured 650 catfish, of which 30 had tags. to the nearest whole number, what is the best estimate for the catfish population?

Answer

Explanation:

Step1: Set up proportion

Let $x$ be the total cat - fish population. The proportion is $\frac{\text{marked fish}}{\text{total population}}=\frac{\text{marked fish in sample}}{\text{sample size}}$, so $\frac{360}{x}=\frac{30}{650}$.

Step2: Cross - multiply

Cross - multiplying gives $30x = 360\times650$.

Step3: Solve for $x$

First, calculate $360\times650 = 234000$. Then $x=\frac{234000}{30}=7800$.

Answer:

7800