8 is 16% of the 50 sampled.
That means that 200 is 16% of the whole population.
0.16p = 200
...
That means that 200 is 16% of the whole population.
0.16p = 200
...
Let's say the total number of fish in the pond is represented by "N."
We know that out of a sample of 50 fish, 8 are tagged. We can set up the proportion as follows:
(8 tagged fish in the sample) / (50 fish in the sample) = (200 tagged fish in the pond) / N
Now we can cross-multiply and solve for N:
8 / 50 = 200 / N
8N = 50 * 200
8N = 10,000
N = 10,000 / 8
N ≈ 1,250
Therefore, there are approximately 1,250 fish in the pond.
Let's set up a proportion to find the total number of fish in the pond:
"Tagged fish in sample" : "Total fish in pond" = "Tagged fish in population" : "Total population"
Using the numbers given, the proportion can be written as:
8 : 50 = 200 : x
To solve for x, you can cross-multiply and then divide:
8 * x = 50 * 200
8x = 10,000
x = 10,000 / 8
x = 1,250
Therefore, based on this estimation, there are approximately 1,250 fish in the pond.