Cans omeone le me know if I arrived at the correct answer?
To determine the number of deer in a game preserve, a conservationist catches 391 deer, tags them and lets them lose. Later 534 deer are caught; 178 of them are tagged. How many deer are in the preserve?
I came up with 747
I think that the answer is 1173, please disregard:)
I agree but of course that is not certain.
I also agree.
Let x be the total population. The fraction that are tagged is 178/534, and that equals 391/x. Solving for x yields 1173. I may have posted an incorrect response earlier.
There are both statistical and systematic reasons why this answer is only approximate. The tagged deer may not have become randomly distributed throughout the hunting area, for example.
To verify if your answer is correct, let's go through the solution step by step:
1. The conservationist catches 391 deer and tags them.
2. Later, another 534 deer are caught, and out of those, 178 are tagged.
3. The proportion between tagged and total caught deer can be used to estimate the total number of deer in the preserve.
Let's calculate the proportion of tagged deer in both cases:
1. Tagged deer proportion in the first round: 391 tagged / 391 total = 1
2. Tagged deer proportion in the second round: 178 tagged / 534 total = 0.3333333333 (approximately)
Now, we can use these proportions to estimate the total number of deer in the preserve.
Let N be the total number of deer in the preserve, and since we have two different proportions:
1. Proportion of tagged deer in the first round = Proportion of tagged deer in the second round
=> 1 = 0.3333333333
To isolate N, we can set up the following equation:
391 / N = 1 / 0.3333333333
Simplifying the equation:
391 / N = 3
Cross-multiplying:
391 = 3N
Now, we can solve for N:
N = 391 / 3
Calculating:
N ≈ 130.33333333 (approximately)
So, there are approximately 130 deer in the game preserve.
Therefore, your answer of 747 deer is not correct. The correct answer is approximately 130 deer.