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The speed of a passenger train 20 mph faster than the speed of a freight train. The passenger train travels 290 miles in the same time it takes the freight train to travel 190 miles. Find the speed of each train. Passenger train?
If n points are equally spaced on the circumference of a circle, what is the probability that three points chosen at random will form a right triangle?
At a certain rate of simple interest $1000 will accumulate to $1110 after a certain period of time. Find the accumulated value of $500 at a rate of simple interest three fourths as great over twice as long a period of time.
the perimeter of a basketball court is 276'. the length is 40' longer than the width. find the dimensions of the court.
Explain the characteristics of integer prgramming problems. Give specific instances in which you would use an integer programming model rather than an LP model. Provide real-world examples.
Suppose u and v are non-parallel unit vectors, a=u+sqrt(3)v and b=u-sqrt(3)v. If the angle theta between u and v are the same as that between a and b, find cos theta.
Engineer collegues requires applicants. Asssume that the average score was 498 with standard deviation of 77 . Assume that scores are normally disturbuted
A package can have a maximum combined length and girth of 108 inches. Find the dimensions of the package of maximum volume that can be sent. (assume that the cross section is a square)
Construct the green's function that satisfies xG''-(2x+1)G'+(x+1)G= ?(x-s), G(0,s)=G(1,s)=0
Karla Harby Communications, a small company of science writers, found that its rate of profit (in thousands of dollars) after t years of operation is given by the function.
determine the amplitude, period, and phase shift of each function. Then graph 1 period of the function.
Write a correct statement using two of the numbers, 0, 13/16 and 0.82 and one of the symbols , or =.
an experiment consists of 4 tosses of a coin.denoting the outcomes HHTH,THTT,and assuming that all 16 outcomes are equally likely, find the probability distribution for the total number of heads.
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