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If the pollution of Lake Erie were stopped suddenly, it has been estimated that the level y of pollutants would decrease according to the formula y = y0^e-0.3821t , where t is the time in years and y0 is the pollutant level at which further pollution ceased. How many years would it take to clear 50% of the pollutants? (Round the answer to the nearest thousandth.)
Find the directional derivative of the function at the given point in the direction of the vector v.
What is the probability of getting the indicated result
to determine the number of deer in a game preserve, a conservatioist catches 569 deer, tags them and lets them loose. Later, 400 deer are caught; 200 of them are tagged. How many deer are in the preserve?
An absent-minded nurse is to give Mr. Brown a pill each day. The probability that the nurse forgets to administer the pill is 2/3. If he receives the pill, the probability that Mr. Brown will die is 1/3.
Automorphisms and Conjugation, Show that if H is any group then there is a group G that contains H as a normal subgroup with the property that for every automorphism f of H there is an element g of G such that the conjugation by g
suppose one test item was molded from a single batch of plastic and the hardness of this item was measured at 16 different points in time. Discuss the effect of conducting the described experiment on the error term.
Construct an explicit deformation retraction of the torus with one point deleted onto a graph consisting of two circles intersecting in a point, namely, longitude and meridian circles of the torus.
The lengths of individual fish in a pond have an approximate Normal distribution with a mean of 18.6 cm and a standard deviation of 6.0 cm. A sample of 36 fish is taken. What is the standard deviation of the sampling distribution of the sample mea..
In baseball a player's batting average is the ratio of hits to the number of times he or she has batted. Thus, if the player has an average of .300, it means he or she got 300 hits in 1000 at bats.
What is the null hypothesis and alternative hypothesis
Find the standard deviation of the data in the given frequency table. A company had 80 employees whose salaries are summarized in the frequency table below. Find the standard deviation.
An older computer's CPU speed was 8 megahertz, but after an upgrade it was 200 megahertz. What percentage is the speed increase?
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