Math, asked by vijay2168, 6 months ago

An ornithologist wants to estimate the number of parrots in a large field . She uses a net to catch some , and catches 32 parrots , which she rings and set free. The following weeks she manages to net 40 parrots , of which 8 are ringed.
What fraction of her second fraction is ringed? Find an estimate of the total number of parrots in the field

Answers

Answered by Afreenakbar

Answer:

The estimate of the total number of parrots in the field is 160.

Step-by-step explanation:

We can calculate the proportion of ringed parrots to the total number of parrots caught to determine the percentage of the second batch of caught parrots that are ringed.

She grabbed 40 parrots in the second batch, 8 of which have rings on them. Therefore, $\frac{8}{40} \: or \: \frac{1}{5}$ of the second batch's birds are ringed parrots.

We may apply the idea of marking and recapture to determine the overall number of parrots in the field. According to the theory, the percentage of marked parrots in the second catch corresponds to the percentage of marked parrots in the overall population.

Let's use N to represent the overall number of parrots in the field. The first batch, as said, caught 32 parrots and ringed every single one of them.In the second batch, there were 8 ringed parrots out of 40 caught. We can set up a proportion:

$\frac{32}{N} = \frac{8}{40}$

Cross-multiplying, we get:

8N = 32 × 40

$N = \frac{ (32 \times 40)}{8}$

N = 160

Therefore, the estimate of the total number of parrots in the field is 160.