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Two trains leave stations 384 miles apart at the same time and travel toward each other. One train travels at 85 miles per hour while the other travels at 75 miles per hour. How long will it take for the two trains to meet?
Let f be Lebesgue integrable on [0,1]. Prove that the limit, as k goes to infinity, of the integral from 0 to 1 of (x^k)f(x)dx is equal to 0.
Probability and Statistical Methods. A manufacturing intraocular lens is in a process of verifying a polishing machine. The polisher will be accepted only if the percentage of polished lenses containing surface defects does not exceed 1.5%
A city sells plots in its cemetery for $1000 plus an amount calculated to provide for the costs of maintaining the grounds in perpetuity.
Write one or two paragraphs comparing and contrasting all methods of solving systems of linear equations with two variables. Explain which method you prefer and why.
Find the p value and at 0.07 level of significance, test above hypothesis.
Group Homomorphism and Abelian Groups, Let phi: G ---> H be a group homomorphism. Show that phi[G] is abelian if and only if for all x, y in G, we have xyx^(-1)y^(-1) in ker(phi).
This is the question in my assignment. Give an example of a number you could place in for the variable x, and describe the shift from the original graph. Remember to note what your value you are calculating for the variable x.
Provide an equation with real-number values of a, h, and k, so that your classmates can describe the changes/shifts made to the graph of y = x².
Prove that the subgroup of A4 generated by any element of order 2 and and any element of order 3 is all of A4. Prove that if x and y are distinct 3-cycles in S4 with x != y^-1 (x not equal to the inverse of y), then the subgroup of S4 generated by x..
Probabilities of Selecting Multiples of Fixed Numbers. Let N = 1000 and let S = {1, 2, ... , N}. Let D_i = {m belongs to S: i|m} for integers i between 1 and N.
What is the probability that a random sample of 50 such women will yield a mean entry-level that exceeds $58,000?
Calculate the range, variance, inter quartile range, coefficient of variation and standard deviation.
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