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Let G sub1 and G sub 2 be groups, with subgroups H sub 1 and H sub 2, respectivetly. Show that {(x sub 1, x sub 2) | H sub 1 is an element of H sub 1, x sub 2 is an element of H sub 2} is a subgroup of the direct product G sub 1 x G sub 2.
Probability of rolling the given sum on two dice. You are rolling a pair of dice, one red and one green. What is the probability of the following out comes
A line passes through the point (6, -6) and has a slope of -3. Write an equation for this line in (x, y) coordinates. Write equations for the vertical and the horizontal lines passing through the point (6, 1) in (x,y) coordinates.
Compute the mean & the standard deviation of the total amount that this investor in 1 year from these four investments.
Matrice operations solve the problem.
Evaluate the matrix of transformation
Two distinct even numbers are selected at random from the first ten even numbers greater than zero.
Describe the cost C(x), in millions of dollars to inoculate x % of the Canadian population against a particularly virulent strain of flu
Find the total distance from the given particle - Evaluate the total distance traveled by the particle from t = 0 and t = 4
Prove that a graph G is a forest if and only if every induced subgraph of G contains a vertex of degree at most 1.
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? Provide an example and a reference.
Graph the line with a slope -4 passing through the point (3,1). Make sure to use Excel or Word for constructing the graph.
Without graphing, can you use the slope to determine whether there is a solution for a system of two linear equations in two unknowns? How?
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