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docker41 [41]
3 years ago
9

Robin wants to find out the number of salamanders by a pond near her house. She catches 45 of them, puts a leg band on each sala

mander, and puts them back by the pond. The next week, she catches 50 salamanders. Of those 50 salamanders, 3 have a leg band. Using this information, what is a reasonable estimate of the number of salamanders by the pond?
Mathematics
1 answer:
Verdich [7]3 years ago
8 0
Given:
1st week: caught 45 salamanders and put leg bands on them
2nd week: caught 50 salamanders and 3 have leg bands

3/50 = 0.06 of the salamander population have leg bands.

45 / 0.06 = 750 total number of salamanders 

<span>45/750 = 0.06 or 6% </span>

The reasonable estimate of the number of salamanders by the pond is 750 salamanders.


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The equation of a circle.

Mathematically, the standard form of the equation of a circle is given by;

(x - h)² + (y - k)² = r²

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The midpoint of the given points represents the center of this circle:

h = (4 + 4)/2 = 4

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Next, we would determine the radius by using the distance formula for coordinates:

r = √[(x₂ - x₁)² + (y₂ - y₁)²]

r = √[(4 - 4)² + (10.5 - 5.5)²]

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r = √25

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