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Set Operations and Venn Diagrams " Please respond to the following:
Create a story problem that demonstrates how a Venn diagram could be used to illustrate combined operation with sets.Give two reasons why Venn diagrams can be useful in explaining relationships. Provide an example in which you have used a Venn diagram to study a relationship between two items or sets.
Imagine you are talking about your college math class over the family dinner table with your father, and he asks, "What are Venn diagrams?" Describe how you would explain them to him.
Explain why an Abelianization fo G is unique up to isomorphism. Construct an Abelianization of G as follows: Let G' be the subgroup fo G generated by all commutators [x,y] = xyz^-1 y^-1, where x, y are real members of G.
The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width) of the rectangle?
In a marketing survey, consumers are asked to give their first three choices, of 9 different drinks. In how many different ways can they indicate their choices? Probability Statistics Combination Application Word Problem
Prove that the element K=k1+k2+....km is the center of the group ring R[G]. Let K1,....Kr be the conjugacy classes of G and for each Ki let Ki be the element of R[G] that is the sum of the members of Ki.
Let P : C -> R be defined by P(z) = Re z; show that P is an open map but it is not a closed map. ( Hint: Consider the set F = { z : Imz = ( Re z)^-1 and Re z doesn't equal to 0}.) Please explain every step and justify.
Suppose a pyramid has a retangular base whose width is 5 centimeters less than its length. If the height is 1 centimeter and the volume is 12 cubic centimeters, find the length of the base.
By looking at two linear equations, how can you tell that the corresponding lines are parallel, the same graph, or intersecting lines? How many solutions does each possibility have and why is that? Show examples for each possible situation.
Find three positive numbers whose sum is 54 and whose product is as large as possible and find the interior and boundary points only at which the absolute extrema of f(x, y) can occur.
Complement of Events, Guessing. How do I setup a Guessing problem?, Six popular brands of cola are to be used in a blind taste study for consumer recognition.
How many different 6-letter code words can be formed from the first 8 letters of the alphabet if adjacent letters must be different?
Evaluate the steady-state concentration - Under some conditions, the rate at which the concentration of a dissolved substance across a cell's membrane changes within the cell is proportional to the difference between it and the outside concentratio..
A recipe uses two eggs, three cups of flour & some other ingredients. The recipe makes enough batter for 6 servings. How many cups of flour will be needed to make enough batter for ten servings?
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