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The boss asks the secretary to stuff n letters into envelopes forgetting to mention that he has been adding notes to the letters and in the process has rearranged the letters but not the envelopes. In how many ways can the letters be stuffed into the envelopes so that nobody gets the letter intended for him or her? What is the probability that nobody gets the letter intended for him or her?
What would be the scheduling model for this situation (environment, restriction, constraints) if you wish to minimize the total time in system? Use the appropriate scheduling notation.
Find the Fourier Transform of f(x) = e^((-x^2)/(2a^2). note: complete the square in the x term in the exponent and make the change of variable; y=x+(*a^2)*i*b.
Find the number of hours that represent the 40 percentile.
A truck can be rented from Company A for $110 a day plus $0.50 per mile. Company B charges $50 a day plus $0.80 per mile to rent the same truck. How may miles must be driven in a day to make the rental cost for Company A a better deal than Company..
Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a hemispherical dome with a diameter 50m. (Answer should be in cubic meters, rounded to two decimal places.)
Determine whether the money can be deposited so that it is fully insured and earns annual interest of $7500
Capacitance is directly proportional to the surface area of plates. What is the total area in square centimeters of a capacitor with 6 plates of the dimension
Calculate the Standard Deviation of your data, Your ability to describe a normal distribution as evidenced by a bell shaped curve. Your ability to describe the information provided by the Standard Deviation.
We can use the Pythagorean theorem to solve problems that involve right triangles. Provide an example of a day-to-day situation that involves right triangles and the use of the theorem.
1. Which one of the following is not a valid observation with reference to the declaration or payment of dividend for any financial year?
A 140 ft tower is located on the side of a mountain that is inclined 32° to the horizontal. A guy wire is to be attached to the top of the tower and anchored at a point 55 ft downhill from the base of the tower. Find the shortest length of wire ne..
Evaluate the integral ∫01 ∫0√1-x2 ∫√x2+y2√2-x2-y2 xy dz dy dx by changing to spherical coordinates. Evaluate the integral ∫∫∫E(x2 + y2) dV where E is the part of the sphere x2 + y2+z2 = 1 above the xy-plane.
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