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Question: A woman has nine close friends.
(a) In how many ways can she invite six of these to dinner?
(b) Repeat (a) if two of her friends are divorced (from each other) and will not attend together.
(c) Repeat (a) if the friends consist of three single people and three married couples and, if a husband or wife is invited, the spouse must be invited too.
If the null space of a 4 X 6 matrix A is 3-dimensional. Is Col A = R3? Why or why not?
Appropriate probability space. Consider the experiment of choosing a whole number between 1 and 10, where the probability
GASOLINE SALES Gloria Newburg operates three selfservice gasoline stations in different parts of town. On a certain day, station A sold 600 gal of premium.
Consider the equation X^9+x-2.01=0. You will be asked in part (c) below to use local linearization to approximate a solution by hand.
Reconsider the network diagram. Suppose that after 12 weeks, activities 1-2, 1-3, and 2-4 have been finished; activity 2-5 is 75 percent finished; and activity 3-6 is half finished. How many weeks after the original start time should the project be f..
What technique would be used to solve the differential equation: You do not have to solve the differential equations, just write what technique that you would use to solve them.
Write a function that computes the product of a and b are integers modulo a positive integer.
Explain why the normal distribution can be used as an approximation to the binomial distribution. What conditions must be met to use the normal distribution to approximate
Find the minimum and maximum possible areas for a rectangle measuring 4.15 cm by 7.34 cm. Round to the nearest hundredth.
COMMON STOCK TRANSACTION Steven purchased 1000 shares of a certain stock for $25,250 (including commissions). He sold the shares 2 yr later.
Betty is stacking boxes at a factory. Each box is 13 (3/4) inches high. The ceiling is 16 feet. How many boxes can she stack in one pile?
For the facility location problem, prove that the inclusion PFL⊂PAFL can be strict.
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