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Abelian Groups and Relatively Prime Order
Suppose G is an abelian group of order m. Let m, n be relatively prime. Show that for every element g in G, there exists an element x in G such that x^m=g.
If the school cafeteria serves meat loaf, there is a 70% chance that they will serve peas. If they do not serve meat loaf, there is a 30% chance that they will serve peas anyway.
Apply normal distribution methods to approximate this binomial distribution.
Audrey's 300-mile trip took six hours to complete. Find the ratio of average speed.
How many different passwords can be formed? b) How many different passwords have no repeated number or letters?
The exact value of the indicated trigonometric function.
Expected Value : key informaiton, After careful testing and analysis, an oil company is considering drilling in two different sites. It is estimated that site A will net $20 million if successful (probability .4) and loose $3 million if not
A particular test for the presence of steroids is to be used after a professional track meet. If steroids are present, the test will accurately indicate this 95% of the time.
Solve the equation on the interval.
What is the probability of there being 2 aces in a single column at the start of a Free Cell game? What about 3 and 4 aces in a single column? Conduct an experiment that validates your findings.
Let ubar and vbar be nonzero vectors in 2 or 3 space and let k=||u|| and m=||v||. Show that the vector Wbar=mubar +kvbar bisects the angle between ubar and vbar.
Find the critical value at the 0.05 level of significance for a goodness of fit test if there are 6 categories?
Use row operations on the augmented matrix to solve the given system of linear equations:
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