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Question: The 10 cabinet ministers of Newland sit around a circular table. One seat is reserved for the Prime Minister. In how many ways can the remaining nine seat themselves?
2. An 8-person committee is to be formed from a group of 15 women and 12 men. In how many ways can the committee be chosen if
(a) the committee must contain four men and four women?
(b) there must he at least two men?
(c) there must be more women th an men?
1. The equation of a plane in space is x + 3y + 2z = 6. a.) Accurately sketch the plane on the set of axes, showing all your calculations below. b.) The three planes of the axes and the plane you have sketched create a triangular pyramid.
you have have a buffer solution composed of 4.00 mol of acid and 1.75 mol of the conjugate base. if the pka of the acid
A child applies the brakes on a bicycle by applying a downward force of 20 pounds on the pedal when the crank makes a 40 degrees angel with the horizontal. The crank is 6 inches in length. Find the torque at P.
Let M = (S, I) be a matroid. Prove that M∗ is a matroid. Prove that the rank function r∗ of M∗ is given by r∗(A) = |A| - r(M) + r(S\A), and conclude TM∗ (x, y) = TM(y, x)
A triangle has sides a=97 and b=119 and angle A=50 degress. Find to the nearest whole integer, the area of triangle ABC.
A realty company has 100 homes listed for sale. Some of these homes have fireplaces, some have garages, and some have neither. A breakdown is provided in the two-way classification table below.
Water leaks from a vertical cylindrical tank through a small hole in its base at a rate proportional to the square root of the volume of water remaining. The tank initially contains 250 liters and 23 liters leak out during the first day. When will..
Determine the equation of the tangent line to f(x) = x2(2x +1)2 at x = 1
As supervisors and managers, should one be limited to how one writes by anarbitrary style manual?
An object having spherical shape of radius r experiences a retarding force F from a fluid of co-efficient of viscosity ' n• when moving through the fluid with speed v . what is the ratio of retarding force to speed
A certain country taxes the first $16,000 of an individual's income at a rate of 15%, and all income over $16,000 is taxed at 20%. Find a piecewise-defined function T that specifies the total tax on an income of x dollars.
Find the time required for an investment of 5000 dollars to grow to 7100 dollars at an interest rate of 7.5 percent per year, compounded quarterly.
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