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A poster is to contain 384 cm^2 of printed material. The top and bottom of the page are to have margins of 6cm and the sides are to have margins of 4cm each. what are the overall dimensions of the poster of least area?
A nursery school teacher has collected a picture from each of the 15 children in the class. She wants to hang the pictures in five rows of three. How many different arrangements are possible?
A. At what rate are sales changing in the year 2002? B. What happens to sales in the "long run" (that is, as t )?
Which mover provides a better deal for 2 hours of work? How did you arrive at your answer?
From the sensitivity analysis, which warehouse site should have had more paper allocated to it at the start of the week and by how much per tonne would the overall cost of transport have been reduced?
In the game of bridge, each of 4 players is dealt 13 cards. If a certain player has no aces, find the probability that that person's partner has:
Explain how the pigeon-hole principle can be used to show that among any 11 integers, at least two must have the same last digit.
A plane flies 470 miles with the wind and 340 miles against the wind in the same length of time. If the speed of the wind is 26 mph, what is the speed of the plane in still air?
Appropriate probability space. Consider the experiment of choosing a whole number between 1 and 10, where the probability
A hemisphere of radius 8 sits on a horizontal plane. A cylinder stands with its axis vertical, the center of its base at the center of the sphere, and its top circular rim touching the hemisphere. Find the radius and height of the cylinder of maxi..
Describe how the Fibonacci sequence can be found in Pascal's triangle, then illustrate it using Pascal's triangle.
find the best time for the trip. what total income will be received?
Determine the coefficients of the function if the coordinates of the vertex of the parabola are the ordered pair (-100,-5000) and the fixed cost is $5000. Determine the domain and range of the variables, is the vertix a minimum or a maximum, why?
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