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Seven women and nine men are on the faculty in the mathematics department at a school.
a) How many ways are there to select a committee of ?ve members of the department if at least one woman must be on the committee
b) How many ways are there to select a committee of ?ve members of the department if at least one woman and at least one man must be on the committee
Solve each of the following initial value problems: Check to see if eigenvectors are multiples of the given eigenvectors.
The topic for the project is Elliptical Paths Of Celestial Bodies although you may choose a different title. The aim is to research ellipses in the context of eccentricities and to use the eccentricities and lengths of the semi-major axis of the p..
A binary message is sent over a noisy channel. The message is a sequence x1, x2, . . . , xn of n bits (xi 2 {0, 1}). Since the channel is noisy, there is a chance that any bit might be corrupted, resulting in an error (a 0 becomes a 1 or vice vers..
A manufacturer of window frames know from long experience that 5 percent of the production will have some type of minor defect tht will require an adjustment. What is the probability that in a sample of 20 window frames
Find the test statistics
Suppose that a tribal culture was discovered in the South Pacific whose language consists of only eight letters
One month ago the ratio of nurses to doctors on a hospital staff was 3:5. Since that time two additional nurses joined the staff, no nurses left & the number of doctors remained the same. Find the ratio of nurses to doctors.
Given the following probability distribution for asset Y, compute the expected rate of return, variance, standard deviation, and coefficient of variation for the assets.
A new entrance is to be constructed on the Ohio Turnpike. There are 7 bidders on the project. Create a 95 percent prediction interval for the winning bid.
By looking at two linear equations, how can you tell that the corresponding lines are parallel, the same graph, or intersecting lines? How many solutions does each possibility have and why is that? Show examples for each possible situation.
In a triangle ABC, if r 1 is the exradius of the excircle opposite to A, r 2 is the exradius of the excircle opposite to B and r 3 is the exradius of the excircle opposite to C
Given the adjacency relation p = {(1,4), (1,5) (1,6), (6,2), (6,3), (6,5)} on the set N ={1,2,3,4,5,6}, find the corresponding directed graph and adjacency matrix.
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