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How many six-digit even numbers less than 200,000 can be formed using all the digits 1, 1, 2, 2, 3 and 5?
How many permutations of the letters in the name ABBA are there?
Conditional Probability: Ball Colour, An urn contains four coloured balls: two orange and two blue. Two balls are selected at random without replacement, and you are told that at least one of them is orange.
Show that the mass, momentum, and energy are constants of motion (invariants) for the KdV equation by direct differentiation with respect to time.
In finding the average size of automobile tire that is purchased, the mean or median size might be a tire that does not exist. Therefore, one would want to know the size of tire bought most often.
What happens if the first shot is intentionally missed? What is the better strategy shooting the deadliest one or the weakest one?
Let N be a positive integer. Let d be an integer relatively prime to phi(N) (phi denotes the euler totient function). Prove that there exists a d' in Z (=integers) with dd'=1 mod phi(N).
Find the critical value at the 0.05 level of significance for a goodness of fit test if there are 6 categories?
I want to prove that a population mean is not 150. Use an alpha of 5 percent & set up the full, detailed, five step hypothesis test. Suppose when the sample 200 is taken the sample standard deviation is ten & the sample mean is 151.77.
Find the slope of the line passing through the points (1990, 3.5) and (2005, 5.15). Interpret the slope as a rate of change.
If 82% of scheduled flights actually take place and cancellations are independent events, what is the probability that 3 separate flights will take place?
Find the solution to the given system that satisfies the initial condition
Linear Combinations, Basis and Transformations, 1. Given a basis B = { u1 = [1, 2], u2 = [2, 1] } for R^2, express u = [7, -2] as a linear combination of u1 and u2. How many ways can you do this?
If we graph this data with Total Cost on the Y axis (Vertical axis) and the Quantity Produced on the X axis (Horizontal axis) what do you think will be the shape of the line
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