Posted: January 20th, 2015

Math Problem, Mathematics

Math Problem, Mathematics

13.–/1 points
The US Forest Service requires a report of deer population in US National Parks. Teams use a method called “Capture-Recapture” to estimate wildlife populations. To estimate the population over a wide area, samples are taken in which a number of deer are captured, tagged, and released back into the environment to mingle with the rest of the herd. Later, a larger sample of deer are captured, some of which are tagged and some are not. Parks officials use the ratio of tagged to untagged deer in the sample to project the population for the entire herd.

Nick and his team initially collected, tagged, and released 24 deer. Several days later, the teams returned to the area and captured 54 deer, of which 10 were tagged.
Find the estimated number of deer in this population (to the nearest whole number) if we presume that this sample ratio is typical for the entire herd.

14.
Simplify the following Expression. Assume all variables are positive.

15.
Simplify the following Expression.

16.–/2 points
Simplify the following Expression. Assume all variables are positive.

A =
B =

17.–/1 points

Sketch a graph of where

18.–/2 points

a) Estimate Graphically.

b) Find x such that . x= (estimate to 2 decimal places, if needed).

Johnson, David B.; and Mowry, Thomas A. – Mathematics: A Practical Odyssey, 7th ed., 2012, Thomson: Brooks/Cole (ISBN 978-1-111-65005-6).

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