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Suppose you are managing 16 employees, and you need to form three teams to work on three different projects.
Assume that all employees will work on exactly one team. Also, each employee has the same qualifications/skills, so any employee can serve on any team.
How large is the sample space for all ways the three teams can be chosen when the number of employees on each project are as follows:
8 on Team 1
1 on Team 2
7 on Team 3
A physician injects 5 mg of dye into a vein near the heart of a patient and by monitoring the concentration of dye in the blood over a 24-second period, determines that the concentration of dye leaving the heart after t seconds (o
Determine the QR factorization of A. Use the QR factors in 1) to determine the lease squares solution to Ax=b. Ax=b is the solution related to Rx=Q^Tb
Think of a mathematical function that represents something from your own life. For example, Assume the number of beers you drink depends on the number of football games you watch.
What is the probability of choosing a queen from a deck of 52 cards? What is the probability of the 2nd card being a queen if the first was a queen? (without replacement)
A rectangular swimming pool 60 ft long, 10 ft wide, and 8 ft deep is filled with water to a depth of 7 ft. Use an integral to find the work required to pump all the water out over the top. (Take as the density of water delta = 62.4 hbox{lb/ft}^3.)
Formulate the initial-value problem describing the motion of the object under each of the following sets of conditions. Set x equal to the downward displacement from equilbrium.
A bag contains 5 yellow marbles, 16 green marbles, and 2 red marbles. What is the chance of drawing a yellow marble? If a yellow marble is drawn the first time and then a second marble is drawn without replacement
A telephone pole 35ft. tall has a guy wire attached to it 5 ft. from the top and tied to a ring on the ground 15 feet from the base of the pole.
A tray of electronic components contains 20 components, 4 of which are defective. If 4 components are selected, what is the possibility of each of the following? (Round your answers to five decimal places.)
Determine the most profitable mixture of groups she should contact and the most money she can raise in a month.
Suppose that you select 2 cards without replacement from an ordinary deck of playing cards. If the first card that you select is a king, what is the probability that the second card that you select is a heart?
A normal human body temperature is 98.6°F. What is the corresponding Kelvin temperature?
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