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Let there are d number of deers in the forest when biologist capture 55 deers.
So the ratio of deer that are tagged is,
[tex]r=\frac{55}{d}[/tex]After two week, the number of deer for the sample are 40 and out of which tagged are 8.
So the ratio for the tagged deer is,
[tex]r=\frac{8}{40}[/tex]Sine the ratio of tagged deer is same for both cases.
So proportion for the total number of deers is,
[tex]\frac{55}{d}=\frac{8}{40}[/tex]