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Question: 1. Show that every connected graph has at least one spanning tree by giving an algorithm for finding one.
2. Did your algorithm begin with just the vertices, or did it begin with the whole graph? Find a second algorithm that begins differently than your first.
3. Prove that your algorithms work. That is, show that the output is a tree and that the tree includes all the vertices of the original graph.
the angle of elevation to the top of the tower is twice the angle of elevation at a point 1120 feet from the base of the tower. You are to determine the height of the tower.
What is the formula we get for the binomial theorem if, instead of analyzing the number of ways to choose k distinct y's, we analyze the number of ways.
simulate n 104 outcomes from the modely -2 x -x2 epsilonwhere x u0 1 and epsilon n0 0.12 independently. from your
Statistics from the government of Thailand describe the household income distribution in that country, for 2000, as follows.
In your own words, briefly compare the strengths and weaknesses (pros and cons) of the graphical, substitution, and elimination methods as applied to the solution of two equations with the same two variables in each.
How many distinct rectangles with integral sides can be made such that each of them has a perimeter of 1006 units?
What would you do if supply exceeded demand? What if demand exceeded supply?
Statistical analysis process - answering the research question of interest by drawing a conclusion about the population through the data collected in the sample.
The severities of individual claims have the Pareto distribution with parameters a = 8/3 and () = 8,000. Use the central limit theorem to approximate the probability that the sum of I00 independent claims will exceed 600,000.
The widths of a cross section of an airplane wing are measured at 1.00-ft intervals, as shown in Fig. Calculate the area of the cross section.
Prepare a schedule showing the annual depreciation and end of year accumulated depreciation for the first three years of the assets life under the straight line method, the sum of the years digits method and the double declining balance method.
Descriptive statistics
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