Respuesta :
Answer:
Best estimate for the bee population is 1280.
Step-by-step explanation:
Randy marked total number of bees = 160
Then he collected 240 bees and observed that number of bees marked
= 30
We have to find the total population of the bee or best estimate for the bee population.
Now we use the ratio of marked bees in the sample vs marked bees in the total population
[tex]\frac{\text{Number of bees marked in the sample}}{\text{Total bees in the sample taken}}=\frac{\text{Number of bees marked in total population}}{\text{Number of bees in the hive}}[/tex][tex]\frac{30}{240}=\frac{160}{x}[/tex]
x = [tex]\frac{160\times 240}{30}=1280[/tex]
Therefore, the best estimate for the bee population is 1280.