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A person has 14 close friends.
(a) Suppose that two of her friends (of the 14 of either gender) do not like each other. If one of the two is invited, the other will not come to the party. How many ways are there to invite 8 people to the party. Explain.
(b) Suppose that two of her friends are a couple. She cannot invite one of the 2 without inviting the other. How many ways are there to invite 8 people to the party. Explain.
Describe how a domestic fast food chain like McDonald's with plans for expanding into China would be able to use a forecasting model.
Let L:R^n -->R^n be a linear operator on R^n. suppose that L(x) = 0 for some x does not equal 0. Let A be the matrix representing L with respect to standard basis. Show that matrix A is singular.
Find the 95% confidence internal for the standard deviation
Standard deviation, Variance and Covariance. Calculate the standard deviation and variance of each set data, and covariance.
There are 3 boxes. Each box contains several envelopes. Some envelopes have "you lose" written on them. The rest say "you win..." . However, of the ones that say "you win..." , some contain only a piece of paper saying "... nothing" . Each of the ..
Continuous Probability Distribution - Independent Events, A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02.
Calculate the mean and variance of profit where the mean and variance for the number of units produced are 500 & 900 respectively.
The postal service provides at least one good example of a function with jump discontinuities. What is one such function, taken from the postal service or some other real life example?
Evaluate formulae for the coefficients -Hint: Use the linear transformation
The equation x - 3 ln x = 2 has exactly two solutions A and B, with 0
Estimate rate of changes.
Let ubar and vbar be nonzero vectors in 2 or 3 space and let k=||u|| and m=||v||. Show that the vector Wbar=mubar +kvbar bisects the angle between ubar and vbar.
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