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find the volume of one of the smaller wedges cut from a sphere of radius 27 by two planes that intersect along a diameter at an angle of pi/6.
What is the probability of- a white chip on the first draw? An urn contains 8 red chips, 10 green chips, and 2 white chips. A chip is drawn and replaced, and then a second chip drawn.
An open rectangular box with square ends is to hold 6400 cm^3. It is built at a cost of $ 75/ cm^2 for the base and $25/ cm ^2 for the sides. Find the most economical dimensions.
Explain A developer can buy a piece of property that will produce a profit of $16,000 with probability
Suppose that in a company with 775 employees, the monthly salaries are normally distributed. The mean salary is $6400 and the standard deviation is $800. About how many employees earn more than $4200 per month?
The vertices of the trapezoid are the origin along with A(4m, 4n), B(4q, 4n) and C(4p,0). Find the midpoint of the midsegment of the trapezoid.
Talk about the old days! A long-playing record has a radius of 6 inches. How far does a fly sitting on the rim of the record travel after the record has turned around once? (Use pi = 3.14).
Suppose you have a lemonade stand, and when you charge $2.00 per cup of lemonade and you sell 100 cups. But when you raise your price to $4.00 you only sell 50 cups
The concessions manager at our local college baseball game must decide whether to have the vendors sell sun visors or umbrellas. There is a 30% chance of rain, a 15% chance of overcast skies, and a 55% chance of sunshine, according to the weather ..
Consider a Lagrangian system, with configuration space R^n, given by (x^1, ... x^n); and Lagrangian L(x', ..., x^n; v^1, ... v^n). Now consider a new system of coordinates, (y^1,... ^n),
How many ways can we order a deck of 52 cards so that all the heats are together, all the clubs are together, all the diamonds are together and all the spades are together?
Describe the first iteration--i.e. write down the formula for the next point x2 and the decision that has to be made. Solve Numerical Analysis and Root Finding
An airplane can fly 650 miles with the wind in the same amount of time as it can fly 475 miles against the wind. If the wind speed is 40 mph, find the speed of the plane in still air.
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