To determine the number of trout in a lake, a conservationist catches 450 trout, tags them, and releases them. Later 90 trout are caught, and it is found that 45 of them are tagged. Assuming that the proportion of tagged trout in the second sample was the same as the proportion of tagged trout in the total population, estimate the number of trout in the lake.

The total number of trouts in the lakes that were initially tagged is added with the number of untagged trout that are caught afterward to find the total number of trout in the lake.

We can find the total number of trout in the lake as follows:

It is given that 450 trout were initially caught and tagged by a conservationist and were later released into the lake.

Therefore the total number of tagged trout = 450

Later, when the trout are caught again, we notice that 90 are caught and of those 90 trout, 45 have been tagged. This means that there are 45 untagged trout.

Therefore, total number of untagged trout = 90 - 45

= 45

Therefore, the total number of trout in the lake = 450 + 45

= 495

Thus, we have found that the estimated number of trout in the lake is 495 trouts.

Learn more about arithmetic operations here: https://brainly.com/question/4721701

#SPJ2