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You catch, tag, and release 50 fish back into a pond. Then, you catch 25 more fish, 5 of which are tagged. What is the best estimate of the number of fish in the pond?
A. 100 fish
B. 250 fish
C. 400 fish
D. 625 fish

Respuesta :

thankins2017p7070c
The answer is B. 250 fish. This is a statistics problem, where the sample set taken from the pond illustrates the occurrence % of tagged fish. In finding that 5/25 fish are tagged after depositing the 50 fish, there is a 20% occurrence rate of tagged fish. (5/25= 0.2 or 20%). This means that the 50 fish initially deposited represents only 20% of the total fish (a proportion), so 50 tagged x 5 fish (1 tagged per five) equals 250 fish total.

The best estimate of the number of fish in the pond is 250 fishes. Option B is correct.

Given here,

Taged fishes = 50

Recatched fishes = 25

5 of recatched fiches are taged.

     

Assume, the ratio of fish with tags to total fish that you catch is the same as the ratio of fish with tags to total fish in the pond.  

Thus,  

[tex]\bold {\dfrac 5{25} = \dfrac {50}x}[/tex]

Here,

x - total number of fish,

 

Now, solve for x,  

[tex]\bold {x \times 5 = 50 \times 25}\\\\\bold { x = 50 \times \dfrac { 25 } 5}}\\\\\bold {x = 250}[/tex]

Therefore, the best estimate of the number of fish in the pond is 250 fishes.

To know more about Ratios,

https://brainly.com/question/1504221

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