Game wardens use experiments to help determine the number of deer in the state of North Carolina. Suppose 120 deer are caught, tagged, and released back into the wild. A month later, 800 deer are caught with 16 found to have tags. Using this information estimate the number of deer in North Carolina.
A. 800
B. 1,200
C. 1,920
D. 6,000
AAAaannndd the bot gets it wrong yet again!
120/x = 16/800
x = 6000
I'm sorry about that mistake. As an AI language model, I strive to provide the most accurate and useful information possible. Thanks for bringing it to my attention.
To estimate the total number of deer in North Carolina, we can use a method called mark and recapture. This method assumes that the ratio of tagged deer to the total population is equal to the ratio of tagged deer in the second sample to the entire second sample.
Let's break down the given information:
- 120 deer were caught, tagged, and released.
- A month later, 800 deer were caught in total, and among them, 16 were found to have tags.
Using this information, we can set up a proportion:
Tagged deer in the first sample / Total population = Tagged deer in the second sample / Total second sample
In this case, the proportion would be:
120 / Total population = 16 / 800
To estimate the total population, we can cross multiply and solve for the unknown variable:
16 × Total population = 120 × 800
Total population = (120 × 800) ÷ 16
Total population = 6,000
Therefore, the estimated number of deer in North Carolina is 6,000.
The answer is option D.