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viktelen [127]
2 years ago
12

Tara is researching the stork population living in a bird reserve. On her first day, she captures and tags 41 birds. Two weeks l

ater, she captures 57 birds and finds 48 are not tagged. Estimate the actual number of storks in the bird reserve
Mathematics
2 answers:
Len [333]2 years ago
8 0
Hmm, we will do ratio and assume caputred is in proprtion

so

all:tagged=all:41
we will assume this is the same as
57:tagged in the 57
57-41=16 so 16 are not tagged

so
all/41=57/16
times both sides by 41
all=2337/16
all=146.something
about 146 storks
katrin2010 [14]2 years ago
7 0

Answer:

There were approx 260 storks in the bird reserve.

Step-by-step explanation:

We are given a information as:

Tara is researching the stork population living in a bird reserve.

  • On her first day, she captures and tags 41 birds.

Let there were total 'x' birds.

Then the probability of the tagged birds is: \dfrac{41}{x}

  • Two weeks later, she captures 57 birds and finds 48 are not tagged.

 number of birds  tagged=57-48=9.

Now the probability of tagged birds is: \dfrac{9}{57}

As the probability of the tagged birds must be same:

⇒    \dfrac{41}{x}=\dfrac{9}{57}

⇒   x=\dfrac{41\times 57}{9}

⇒   x=259.666

Hence, there were approx 260 storks  in the bird reserve.

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