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1. Park rangers catch, tag, and then release 140 elk back into a national park. One month later, they select a sample of 130 elk, 91 of which are tagged. Assuming the ratio of tagged elk in the sample holds for all elk in the park, approximately how many elk are in the park?
2. The formula M = 0.0075x2 - 0.2676x + 14.8 models the fuel efficiency of passenger cars, M, in miles per gallon, x years after 1940. Environmentalists pressured automobile manufactures for a fuel efficiency of 45 miles per gallon by the year 2000. In which year will the fuel efficiency reach 45 miles per gallon according to the formula?
A pendulum is 18 feet long. Its central angle is 44º. The pendulum makes one back and forth swing every 12 seconds. Each minute, the pendulum swings _____ feet.
Find sample size
Describe all nonisomorphic central extensions of Z_2 x Z_2 by a cyclic group Z_n for arbitrary n, meaning central extensions of the form:
Suppose that you are dealt a hand of 9 cards from a standard deck of 52 playing cards. What is the probability that you are dealt exactly 3 kings? What is the probability that you are dealt 9 cards of the same suit?
Find the area of the region enclosed by one loop of the curve. Find the exact length of the polar curve.
What would you do if supply exceeded demand? What if demand exceeded supply?
Let 'y' be the value of a house (in thousands of dollars), 'x' is the years after it is purchased. Some pairs of values are listed in the table below.
Calculate the probability of drawing a King or a diamond
what is the probability that one of these resistors picked at random will have a resistance of 16 ohms or more?
Complete the given ordered pairs so that each ordered pair satisfies the given equation. Determine the equation of each line. Write the answer in standard form using only integers as the coefficients.
Find any stationary points of the function from 1a. An use the first derivative test to see whether they are local maximum or local minimum of f(x).
There are 3 suspects, A, B, and C, for a robbery that presumably happened in a shop. We know that the following facts are true:
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