To determine the number of trout in a lake, a conservationist catches 126 trout, tags them, and releases them. later 158 trout are caught, and it is found that 32 of them are tagged. estimate how many there are in the lake.

There are an estimated of 622 trouts in the lake.

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. You know that:

- The conservationist catches 126 trout.

- Then, 158 trout are caught, and 32 of them are tagged.

2. Therefore, you can write the following ratio, where x is the number of trout in the lake. Then, when you solve for x, you obtain the following result:

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation: