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Suppose G is a finite group with the property that every non-identity element has prime order (D3 and D5 are examples of groups with this property). Show that if the center of G, Z(G), is not trivial, then every nonidentity element of G has the same order.
Using first two equations determine 3 possible points that the 2 conic sections that you get from equations meet. Add a third equation figure to out the one point that all three conic sections meet.
Compute the p value for the test
Give the general steps for graphing a linear function. Give an example of a linear function and graph it.
Normal subgroups, Second Theorem of Isomorphism, Conjugates and Cyclic Groups
Determine algebraically whether the given function is even, odd, or neither.
alculate the ninety-nine percent confidence interval find the mean gasoline mileage for 2006 cars when horsepower is 220.
Describe a probability space for this experiment as well as you can. Find the probability that after two days there are no amoebas in the pond.
Find the parametric equations for the line through the point P = (3, -4, 0) that is perpendicular to the plane 2x + 0y+ 5z = 1. Use "t" as your variable, t = 0 should correspond to P
Odds and probability, A casino states that the house odds (note: house odds are the odds that the gambler will lose) for a certain game are 23 to 2.
How many solution sets do systems of linear inequalities have? Must solutions to systems of linear inequalities satisfy both inequalities? In what case might they not? Use an example for discussion.
Group Homomorphism and Abelian Groups, Let phi: G ---> H be a group homomorphism. Show that phi[G] is abelian if and only if for all x, y in G, we have xyx^(-1)y^(-1) in ker(phi).
Continuous Probability Distribution - Independent Events, A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02.
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