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Explain how to compute the number of functions from a k-element set K onto an n-element set N by using multinomial coefficients.
Write the two equations in slope-intercept form, and then determine how many solutions the system has.
Independent events based probability. A company operates a telephone order system for a catalogue of its outdoor clothing products. The catalogue orders are processed in three stages. In the first stage, the telephone operator enters the order int..
A shipment of 7 television sets contains 2 defective sets. A hotelmakes a random purchase of 3 of the sets. If x is the number ofdefective sets purchased by the hotel, find the probability distribution of X.
A car was purchased for $32,800. The value of the car decreases by $4,300 per year for each of the first seven years. Write a function that describes the value of the car, f(x), after x years where 0 ≤ x ≤ 7.
A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function h(t)=88t-16t^2. What is the maximum height that the ball will reach?
At what rate is the base of the triangle changing when the altitude is 11.5 centimeters and the area is 86 square centimeters?
A rectangular box has length 7 inches, width 17 inches, and a height of 20 inches. Find the angle between the diagonal of of the box and the diagonal of its base. The angle should be measured in radians.
A furniture factory needs 31.5 ft of fabric to upholster one chair. Its Dutch supplier sends the fabric in bolts of exactly 200. m2. What is the maximum number of chairs that can be upholstered by 3 bolts of fabric (1 m = 3.281 ft)?
The perimeter of a rectangular racquetball floor is 120 feet. The length of the floor is twice its width. find the length and width of the court.
Remember that the perimeter is the sum of all sides of the rectangle. Is there another shape that would be more efficient( higher area to perimeter ratio?)
A Pyramid is 785 ft high (due to erosion, its current height is slightly less) and has a square base of side 3140 ft. Find the work needed to build the pyramid if the density of the stone is estimated at 180 lb/ft^3.
Let f be a non-negative monotone continuous function defined on the interval (0
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