Mathematics: To determine the size of the country s moose population, naturalists catch 71 moose, tag them and then set them free. Months later 47 moose are caught of which 21 have tags. The estimated size of the moose population is

To determine the size of the country s moose population,

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meowmeowcow

21.01.2022

Mathematics

The estimated size of the moose population is 159 .

Step-by-step explanation:

In order to calculate an estimated size of the moose population we can write the following proportion :

$\frac{71}{x}=\frac{21}{47}$

On the left fraction we have the quotient between the amount of moose that the naturalists caught first and the estimated size ''x'' and on the right fraction we have the quotient between the amount of moose tags in the second capture and the total amount of moose caught in the second capture.

If we work with the expression :

$\frac{71}{x}=\frac{21}{47}$ ⇒

$71=(\frac{21}{47})x$

$x=\frac{(71).(47)}{21}=158.9$ ≅ 159

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To determine the size of the country's moose population, naturalists catch 71 moose, tag them and then set them free. Months later 47 moose are caught of which 21 have tags. The estimated size of the moose population is

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