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A bowl is shaped like a hemisphere with diameter 56 cm. A ball with diameter 12 cm is placed in the bowl and water is poured into the bowl to a depth of h centimeters. Find the volume V of water in the bowl. Consider two cases: one in which the ball is not completely submerged and the other in which it is.
Find the volume V of water in the bowl. Consider two cases: one in which the ball is not completely submerged and the other in which it is.
A baseball team plays in a stadium that holds 59000 spectators. With ticket prices at $10, the average attendance had been 5000. When ticket prices were lowered to $8, the average attendance rose to 15000.
A random variable defined on all real numbers has a probability density proportional to: c/ X2 + 1. What is c? What is the probability that the random variable lies between 0 and 1?
To estimate the proportion p of passengers who had purchased tickets for more than $400 over a year's time, an airline official obtained a random sample of 75. The number of those purchasing tickets for more than $400 was 45.
For the problem, refer to the linear transformation T: R^3 --> R^3 given by T(x) = T(x, y, z) = (2x + 2z, x - y + z, 2x + 2z). Write the change of basis matrix K from the basis F of R^3 which consists of the eigenvectors
At the .01 level of significance, is there sufficient evidence to conclude that the mean bone marrow micro vessel density is higher before the stem cell transplant than after the stem cell transplant?
The curve intersects the horizontal line at a particular discount rate. What is this discount rate at which the graph intersects the horizontal axis?
If a department has 10 men and 15 women, how many ways are there to form a committee with 6 members if it must have more women than men?
He has invented a counter for his bike which counts the number of revolutions the wheels make
You just found out that you have been kicked out of your apartment (through no fault of your own!) and need to find a new place to live.
An automobile manufacturer produces 7 models, each available in 6 different exterior colors, with 4 different upholstery fabrics and 5 interior colors. How many varieties of automobiles are available?
The measure of the central angle of the sector
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