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Suppose you are managing 19 employees, and you need to form three teams to work on different projects. Assume that all employees will work on a team, and that each employee has the same qualifications/skills so that everyone has the same probability of getting choosen. In how many different ways...
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a rectangle is 22" high and 19" long. what is the perimeter of the rectangle?
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Suppose the reliability function of a device is given by R(t) = e 0.25t, where t is in hours. (i) Suppose a number of such devices are independently put into operation, and 20 are still functioning after one hour. Find an approximate value of the expected number of failures of the devices in...
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a physical fitness room consists of a rectangular region with a semicircle on each end. If the perimeter of the room is a 250-meter track, find the dimensions that make the rectangular region as large as possible.
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(Intro topology/ knot theory) What is the Jones polynomial of the figure-eight knot?
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Montreal Alouettes quarterback Anthony Calvillo has passed for over 6000 yards in the 2004 season, becoming only the third player to do so during the regular season in the Canadian Football League. While discussing this exploit one day, a friend of yours claims that Calvillo s average passing...
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Let X be the number of random numbers selected from {0,1,2,...,9} independently until 0 is chosen. Find the probability mass functions of X and Y = 2X + 1.
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prove that any nonempy subset of a linearly independent set of vectors {v1,.....,vn} is also linearly independent.
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A kite 100 ft above the ground moves horizontally at a speed of 7 ft/s. At what rate is the angle (in radians) between the string and the horizontal decreasing when 200 ft of string have been let out? (Enter your answer as a fraction.)
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How can I program a quick sort algorithm in maple?
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- Solve the following
- a) 3/(n+1)-1/(n+1)=14/(n^2-1)
- b) 1/(y-1 )+y/(1-y)
- c)4/(x-5)-3/(x+2)=28/(x^2-3x-10)
- d) (x-2)/(8x-24)*(5x-15)/(x^2 -4)
- e) z/(z-1)+1/2=3/z
- f) (x-3)/(x^2+2x-15)-(4-x)/(x^2-9x+20)
- 2. How do I set up this problem? An exam contains five "true or false" questions. How many of the 32 different ways of answering these questions contain 3 or more incorrect answers?
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