to determine the number of trout in a lake, a conservationist cathes 123 trout, tags them and throws them back into the lake. later,44 trout are caught, 11 of them are tagged. how many trout would the conservationist expect to be in the lake

4 * 123 = ?

492

Right.

Thank you so much Ms. Sue

You're welcome, Ernie.

To estimate the number of trout in the lake, we can use a method called mark and recapture. This method assumes that the proportion of tagged trout in the second catch is equal to the proportion of tagged trout in the entire population.

Let's break down the information given:

- The conservationist initially catches 123 trout and tags them.
- The tagged trout are released back into the lake.
- Later, 44 trout are caught, and out of those, 11 are tagged.

To determine the estimated number of trout in the lake, we can set up a proportion:

(Number of trout initially caught and tagged) / (Total population) = (Number of trout recaptured and tagged) / (Number of trout recaptured)

Let's substitute the values we know into the equation:

123 / Total population = 11 / 44

Now, we can solve for the total population using cross-multiplication:

11 * Total population = 123 * 44

Total population = (123 * 44) / 11

Total population = 4,932 / 11

Total population ≈ 448

So, based on this estimate, the conservationist would expect there to be approximately 448 trout in the lake.