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mote1985 [20]
3 years ago
9

Game wardens use experiments to help determine the number of deer in the state of North Carolina. Suppose 120 deer are caught, t

agged, and released into the wild. A month later, 800 deer are caught with 16 found to have tags. Using this information, estimate the number of deer in North Carolina.
A. 50
B. 500
C. 600
D. 6,000
Mathematics
1 answer:
Maurinko [17]3 years ago
3 0
Given;
120 deer tagged
800 deer caught
16 out of 800 deer caught have tags

This is a proportion problem

a/b = c/d where ac = bd

16/800 = 120/d
16d = 800*120
16d = 96,000
d = 96,000 / 16
d = 6,000

The estimate number of deer in North Carolina is D. 6,000

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The missing figure is attached.

Notice in the first picture that Alberta has a complex shape.

You can calculate the area of a complex shape by decomposing it into polygons whose areas can be calculated easily.

Observe the second picture. Notice that it can be descompose into two polygons: A trapezoid and a rectangle.

The area of the trapezoid  can be calcualted with the formula:

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Where "h" is the height, "B" is the long base and "b" is short base.

And the area of the rectangle can be found with the formula:

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Then, the apprximate area of Alberta is:

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Substituting vallues, you get:

A=(\frac{(410\ mi-180\ mi)}{2})(760\ mi+470\ mi)+(180\ mi)(760\ im)\\\\A=141,450\ mi^2+136,800\ mi^2\\\\A=278,250\ mi^2

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