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Nick and his team initially collected, tagged, and released 24 deer. Several days later, the teams returned to the area and captured 55 deer, of which 9 were tagged. Find the estimated number of deer in this population (to the nearest whole number) if we presume that this sample ratio is typical for the entire herd.

Respuesta :

Answer:

The estimated number of deer in this population will be 147.

Step-by-step explanation:

Let we assume

Total number of deer = x

If we presume that this sample ratio is typical for the entire herd

Then,

The ratio of total number of the deer and initially collected, tagged and released deer will be equal to the ratio of later captured 55 deer and 9 tagged deer.

So

[tex]\frac{x}{24}=\frac{55}{9}[/tex]

[tex]x=\frac{55}{9}\times24[/tex]

[tex]x=146.66[/tex]

Hence the estimate number of deer = 147

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