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One idea that is often used in selection is that instead of choosing a random pivot element, we choose three random pivot elements and then use the median of these three as our pivot. What is the probability that a randomly chosen pivot element is in the middle half? What is the probability that the median of three randomly chosen pivot elements is in the middle half? Does this justify the choice of using the median of three as pivot?
Let v(t)=3t^2-12t be the velocity of a particle moving along the x-axis for time t, t>(less than or equal to)0 When t=0 the particle is at x=-6.
A contractor purchases a new bulldozer for $45,000. After 15 years the bulldozer will be outdated and have no value. Write a linear equation giving the value V of the equipment during the 15 years it will be used, where t is the number of years af..
If the tree was 7 feet tall when it was planted, how tall will it be in 27 years? Round your answer to two decimal places.
Prove that the statement "There exists a triangle with a sum of angles greater than 180 degrees" is true in spherical geometry.
Don Williams uses his small motorboat to go 3 miles upstream to his favorite fishing spot. Against the current, the trip takes 1/2
The Rent-A-C.4 car rental company allows its customers to pick up a rental car at one location and return it to any of its locations. Currently, two locations (1 and 2) ilave 1 6 and 18 smplus cars, respectively, and four locations (3, 9, 5, and 6) e..
in how many different ways can the top eleven new indie bands be ranked on a top eleven list? the top hit song for
Show that the variance for n independent trials with two outcomes and probability p of success is given by np(1-p). What is the standard deviation? What are the corresponding values for the number of failures random variable?
249g of ice at 265k is mixed with 101g of water at 304k. calculate the final temperature of the mixture. assume that no
Suppose that N and M are two normal subgroups of G and that N intersection M = (e). Show that for any n belongs to N, m belongs to M, nm = mn.
Explain the difference between explicit and implicit schemes for numerically solving systems of equations. Which type of scheme is more computationally expensive? when would you use each of them?
Mr. Brown has 10 black gloves and 12 brown gloves in his closet. He blindly picks up some gloves from the closet. What is the minimum number of gloves Mr. Brown will have to pick to be certain to find a pair of gloves of the same color?
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