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A wheel on n vertices consists of a cycle on n - 1 vertices together with one more vertex, normally drawn inside the cycle, which is connected to every vertex of the cycle. What is the chromatic number of a wheel on 5 vertices? What is the chromatic number of a wheel on an odd number of vertices?
Let G be the graph with vertex set Z n 2 (the same as the n-cube), and with edge set de?ned as follows: {u, v} is an edge of G if u and v in exactly two coordinates (i.e., if ?(u, v) = 2). What are the eigenvalues of G?
The cost C to produce x number of tennis rackets is C=160+12x. The tennis rackets are sold wholesale for $17 each, so revenue R is given by R=17x. Find how many tennis rackets the manufacturer needs to produce and sell to break even.
Using the result from above, calculate the first few terms of the expansion of t expanded on [1,3]. Plot this result on [-1,5].
Suppose the scores of 500 college freshmen taking Physics 101 are normally distributed. The mean score is 60 out of 100, and the standard deviation is 10. Find the values defined by the standard deviation that is 3 standard deviations away from th..
You walk 99 yards due south, then 121 yards due west, and then 22 yards due north.
Explain how probabilistic primality tests are used in practice to produce extremely large numbers that are almost certainly prime. Do such tests have any potential drawbacks?
A manufacturer has a monthly fixed cost of $70,000.00 and a production cost of $17 for each unit produced. The product sells for $25 per unit. Find the break-even point.
What are the two steps for simplifying radicals? Provide an example to show each step. Can either step be deleted? If you could add a step that might make it easier or easier to understand, what step would you add?
Omar rented a truck for one day. There was a base fee of , and there was an additional charge of cents for each mile driven. Omar had to pay when he returned the truck. For how many miles did he drive the truck?
An inspection procedure at a manufacturing plant involves picking 3 items in a random and then accepting the whole lot if at least 2 or 3 items are in perfect condition. if in reality 90% of the lots are perfect, what's the probability the whole l..
Isomorphisms, Residue Classes and Multiplication Tables, Show that U(10) is isomorphic to Z_4 and write out the isomorphism explicitly.
If we want to interpret the given integral as the moment of inertia of a solid about some axis, what is the axis and what is the density of the solid?
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