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I need to know if these are true, and if so why.
a) In a rooted binary tree with 16 vertices, there must be a path of length 4.
b) No tree has a Hamilton path.
Calculate the mean, variance, and standard deviation of this distribution.
Harry and Melissa Jacobson produce handcrafted furniture in a workshop on their farm. They have obtained a load of 600 board feet of birch from a neighbor and are planning to produce round kitchen tables and ladder-back chairs during the next thre..
Find all maximal normal subgroups of Z[p] × Z[q], where p and q are relatively prime. Would the elements from Z[p] have to be one that are relatively prime to q and vice versa?
Formulate the above as linear programming problem. Solve (a) by graphical method. Solve using simplex method.
Find Probability Of M Ms In A Jar. A jar contains 15 M&Ms: 4 red, 5 green, and 6 yellow. Two candies are picked from the jar (no replacement).
Explain how we arrive at the formula for Simpson's rule (standard formula) using the Lagrange Interpolating Polynomial of degree 2. Ignore the error term, and do not compute any integral.
What is the probability of getting an A on the exam? What is the probability of getting an A in the course?
Find the percentage of customers spent less than $20
Find the ninety-five percent confidence interval for the standard deviation of the ounces of coffee that a machine dispenses in 12-oiince cups. Suppose the variable & normally distributed.
Suppose that Phi (f) is an isomorphism. Is f then an isomorphism? Alternatively, suppose that Phi (G) and Phi (G')
Find is the median of the data
The monthly cost in dollars of a phone plan is a linear function of the calling time in minutes. The monthly cost for 40 minutes of calls is $14.18 and the monthly cost for 96 minutes is $19.22.
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