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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?
Suppose the velocity v (in m/s) of a some moving object can be computed by the formula v=10t+4, where t (in s) is the time elapsed. What is the biggest possible error (worst case) of v if the error in the measurement of t is known to be less than 0..
Compute the p-value for the following hypothesis test for the difference between two means with unknown population variances.
Determine the normalized eigenfunction for this problem; Use the results in part (a) to express f(x)=x in an eigenfunction expansion, i.e. determine the expansion coefficients (Cn).
Probability Based on Random Selection, One box is chosen at random and a drawer is opened from that box. If it contains a gold coin, find the probability that it is in Box I.
A formula is derived for the n-th derivative of a function that is a product of two other functions, f(x)=u(x).v(x). This formula is used to write down the n-th derivative of f(x) = e^x/(1 − x).
Use a Venn diagram and the given information to estimate the number of elements in the indicated region.
Find the required sample size required
Find the estimated regression equation
Find dy/dx by implicit differentiation. where p is the unit price in dollars and x is the quantity demanded each week, measure in units of a thousand. Compute the elasticity of demand and determine whether the demand is elastic, inelastic, or unit..
A container will hold 1 ltr, you will need the following solutions for different purposes, how much concentrate will you need in each case.
Calculate the average rate of change.
Use Euler's method to determine the first three approximations to the given initial value problem and Each sample problem has three solutions with an initial point, moving over delta x and moving over by delta x again.
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