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A rectangular package with a square base to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 108 inches. Find the dimensions of the package of maximum volume that can be sent.
Matrix of transition probabilities. The daily price of a farm commodity is up, down, or unchanged from the day before. Analysts predict that if the last price was down, there is a .5 probability the next will be down,
(a) How many committees of six can be formed from the club membership? (b) How many committees will contain at least three men who, in the preliminary survey,favored opening membership to women?
The temperature T in a metal ball is inversely proportional to the distance from the center of the ball, which we take to be the origin. The temperature at the point (1,2,2) is 120 degrees.
Annual profit in thousands of dollars is given by the function, P(x) = -.01x2 + 50x + 30,000, where x is the number of items sold, x ≥ 0.
The points on a plane: A(-3;2) and B(1.5;-3) are included in a parallel right to another one which crosses point at P(-2;-4). The equation of this last right
Probability Based on Order and Random Selection, Four couples, each consisting of one man and one woman, are seated at a circular table. Assuming that each different order is equally likely,
A postal service will accept packages only if the length plus girth is no more than 114 inches. Assuming that the front face of the package is square, what is the largest volume package that the postal service will accept?
What are rational expressions? Why must we always be mindful of the final value of the denominator in a ration expression? For example, consider the rational expression 3x(x^2-16). What values in the denominator must be we be mindful of? Explain w..
Choosing a phone plan in a college dormitory, each student has a choice of two phone companies. Company A charges $7.46 per month plus 13 cents a call and Company B charges $6.17 per month plus 17 cents per call. About how many phone calls do you ..
Show that for n less than or equal to 4, any Latin square of order n can be obtained from the multiplication table of a group by permuting rows, columns, and symbols.
Write two expressions--one for labor and one for materials--that can be used to model the labor and materials constraints for the upcoming week.
Probability of Coins Drawn, Suppose you have 6 nickels, 4 dimes, and 2 quarters in your pocket. If you draw a coin randomly from your pocket, what is the probability that
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