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An Egyptian pharaoh has ordered the construction of four square pyramids. The main pyramid will be the tallest, while the other 3 will each be half its height. All four pyramids must have a height to base length ratio of 2:3. The pharaoh has allocated a maximum amount of 30 million cubic feet of stone for construction. Find the largest possible values for the base length and height, to the nearest foot, as well as the volume of each pyramid, in scientific notation to 3 decimal places.
find the following probabilities for the stand normal random variable fora. pzgt1.23b. pzlt-1.27c. p0.31lez2.68d.
margin at the top and bottom and a 2-in. margin at each side. What overall dimensions will minimize the amount of paper used?
How might you involve children in learning geometric concepts? Which geometric concept do you think will be most difficult for children to learn and why?
a university advises parents of incoming freshmen that the average cost of textbooks is typically greater than 300. a
find an equation of the tangent linr to the curve at the given point y=2x^3-5x at the point (-1,3)
If a stone is tossed from the top of a 330 meter building, the height of the stone as a funtion of time is given by h(t)=-9.8t^2-10t+330, where t is in seconds, and height is in meters. After how many seconds will the stone hit the ground? Round t..
Find the speed of the plane in still air and the speed of the wind.
A rectangular field, bounded on one side by a building, is to be fenced in on the other three sides.if 3,000 feet of fence is to be used, find the dimensions of the largest field that can be fenced in.
A 30 in piece of string is cut into two pieces. One piece is used to form a circle and the other to form a square. How should the string be cut so that the sum of the areas is a minimum?
If the material for the base costs $0.30 per square foot, the material for the sides costs $0.05 per square foot, and the material for the top costs $0.20 per square foot, determine the dimensions of the box that can be constructed at minimum cost..
Matrice operations
A researcher wanted to determine if the average size of farms in two counties in Pennsylvania were different. He samples 8 farms in Indiana County and determines the average size of a farm is 191 acres with a standard deviation of 38 acres.
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