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How many ways are possible?
a. If six people are be lined up to get on a bus. b. If three specific persons out of six insist on following each other.c. If two specific persons out of six refuse to follow each other.
What is the probability of winning a lottery in which you must choose 4 numbers from the number 1 through 15.
Billy likes to go cycling. His bike has wheels of a diameter 75. He has invented a counter for his bike, which counts the revolutions the wheel makes. One day the counter shows 370 revolutions. How far has billy cycled?
Letting x denote the length of one side of the base, find a function in the variable x giving the cost (in dollars) of constructing the box.
A rectangular page is to contain 196 square inches of printable area. The margins on each side are 1 inch. What should the dimensions of the page be so that the least amount of paper is used?
Given f(x,y,z)=x^2y^3z^6, in what direction is F(x,y,z) increasing most rapidly at the point P(1,-1,1). What is the rate of increase?
Find the radian measure of the central angle of a circle of radius 245 feet that interecepts an arc of 150 feet.
At α =.05 and .10, test the hypothesis that the proportion of Consumer (CON) industry companies winter quarter profit growth is more than 2% greater than the proportion of Banking (BKG) companies winter quarter profit growth, given that p CON=.20,..
One study found that, all other things being equal, the number of seconds that a yellow light should be on is a linear function of the width of the crossing-street in feet.
Let V be a vector space and u, v, w belong to V. rove that u-v, v-w, and w-u form a linearly dependent set.
A car traveling along a straight road at 74 ft/sec accelerated to a speed of 89 ft/sec over a distance of 315 ft. What was the acceleration of the car, assuming it was constant? (Round your answer to two decimal places.)
A building is 172 feet tall. For a class project, Kari is to make a scale model of the building to place in the front hall display case. The display case is 22 inches tall. Which scale will allow her to make the tallest model that will fit in the ..
Determine whether or not the given vector field is conservative. If its conservative find f such that F=delta f
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