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Question: Six people attend the theater together and sit in a row with exactly six seats.
a. How many ways can they be seated together in the row?
b. Suppose one of the six is a doctor who must sit on the aisle in case she is paged. How many ways can the people be seated together in the row with the doctor in an aisle seat?
c. Suppose the six people consist of three married couples and each couple wants to sit together with the husband on the left. How many ways can the six be seated together in the row?
Use linear programming methods to find the maximum and Use linear programming methods to find the minimum
In a hexagon, all but one of the angles have a measure of 110 degrees. What is the measure of the remaining angle?
What is the throughput of CSMA in the limiting cases a → 0 and G → ∞? (Bellman-Ford) For the network of figure 22.8 find the shortest path from node A to node C using the Bellman-Ford algorithm.
Show that the mean value theorem applies or does not apply to the following. f(x)=sqrt(25-x^2), [-4,4]. State the conditions clearly, and, if appropriate, find the c guarenteed by the theorem.
What are you basing your estimate on?
Find the monthly breakeven volume for the company.
Which country seems to have a more unequal distribution of income? For data, consult the World Bank's World Development Indicators online database or the CIA's World Factbook, also available online. Note which data source you used.
If one fails, the other can operate the transceiver (at a reduced power output). However, the increased electrical demand will triple the failure rate of the remaining battery. Determine the system reliability at t = 5 yr. What is the system MTTF?
The probability that a teenage driver will speed is 0.8; for a twenty-something driver, the probability of speeding is 0.5; for a mature driver
earl miller a lawyer charges lees plumbing his client 22 of what he can collect for lee from customers whose accounts
Math 171: Abstract Algebra, Fall 2014- Assignment 4. Determine all positive integers n ≥ 2 for which the group (Z/2nZ)× is cyclic. Recall (Z/2nZ)× is the set {[a] | gcd (a, 2n) = 1}, with group operation ×
In your math class there are 17 boys and 23 girls. 10 of the boys and 10 of the girls are freshmen. If you randomly choose a student in your class, what is the probability
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