ron is starting his own beehive so that he can have fresh honey straight from the hive. ron decides to check…

ron is starting his own beehive so that he can have fresh honey straight from the hive. ron decides to check the current population of bees in the hive by marking 65 bees with special bee - marking paint. later, ron collects 376 bees and observes that 44 of them are marked. to the nearest whole number, what is the best estimate for the bee population?

ron is starting his own beehive so that he can have fresh honey straight from the hive. ron decides to check the current population of bees in the hive by marking 65 bees with special bee - marking paint. later, ron collects 376 bees and observes that 44 of them are marked. to the nearest whole number, what is the best estimate for the bee population?

Answer

Explanation:

Step1: Set up proportion

Let the total bee - population be $x$. The proportion of marked bees in the sample is equal to the proportion of marked bees in the whole population. We know that 65 bees were marked initially, and in a sample of 376 bees, 44 are marked. So the proportion is $\frac{65}{x}=\frac{44}{376}$.

Step2: Cross - multiply

Cross - multiplying gives us $44x = 65\times376$.

Step3: Solve for $x$

First, calculate $65\times376 = 24440$. Then $x=\frac{24440}{44}=555.4545\cdots$.

Step4: Round to the nearest whole number

Rounding $555.4545\cdots$ to the nearest whole number, we get $x = 555$.

Answer:

555