Answer :
Answer:
The estimated size of the moose population is [tex]159[/tex].
Step-by-step explanation:
In order to calculate an estimated size of the moose population we can write the following proportion :
[tex]\frac{71}{x}=\frac{21}{47}[/tex]
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 :
[tex]\frac{71}{x}=\frac{21}{47}[/tex] ⇒
[tex]71=(\frac{21}{47})x[/tex]
[tex]x=\frac{(71).(47)}{21}=158.9[/tex] ≅ [tex]159[/tex]