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Assume that K is a cyclic group, H is an arbitrary group and f1 and f2 are homomorphisms from K into Aut(H) such that f1(K) and f2(K) are conjugate subgroups of Aut(H). If K is infinite, assume f1 and f2 are injective. Prove by constructing an explicit isomorphism that (H x_f1 K) is isomorphic (H x_f2 K)
suppose a new type of artificial heart has been developed. the heart has three moving parts that are subject to
Find a unique area of your life where one variable impacts the other variable (and that are both measurable) and do a regression analysis on it
given a sample size of 22 with sample mean 726.2 and sample standard deviation 85.3 we perform the following hypothesis
doug needs to construct a 98 confidence interval for the mean diameter of 3 inch schedule 40 drain pipe. he samples 25
if r -0.665 and n 6 test the significance of the correlation coefficient at a .05 reject p 0 because 2.68gt 2.57do not
Let X be the number of calls you need to make until you find your friend. Give the probability mass function for X. How many calls do you expect to make until you find your friend?
during a busy period at an airport planes arrive at an average rate of 10 an hour. what is the probability distribution
Under what circumatances do you use a one-sided confidence interval instead of a 2 sided confidence interval?
Solve the system using the inverse of the coefficient matrix of the equivalent matrix equation?
Specify the null and alternative hypotheses you would use to determine if the opinions of Internet users are evenly divided among the four categories.
How large a sample size will need to be selected if we wish to have a 99% confidence interval with a margin for error of .25 hours?
a farmer wishes to determine the optimal level of a new fertilizer on his soybeancrop. some factors that affect crop
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