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A bowl is shaped like a hemisphere with diameter 36 cm. A ball with diameter 4 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.
Which of the following statements is true regarding the F - distribution?
Find the number of units x that produce a maximum revinue R. Find the number of unites x that produce the minimum average cost per unit C.
An orchard contains 62 peach trees with each tree yielding an average of 50 peaches. For each 1 additional trees planted, the average yield per tree decreases by 9 peaches. How many trees should be planted to maximize the total yield of the orchar..
Find the y-coordinate of the point (3+h, ) if this point lies on the graph of the function F(x) = (3/x) - x the y-coordinate of the point is.
What is the approximate distribution that describes the possible values for the sample proportion ? Give all aspects of the distribution.
An entrepreneur buys an apartment building with 40 units. The previous owner charged $240 per month for a single apartment and on average rented 32 apartments at that price.
Give a procedure for converting from the hexadecimal expansion of an integer to its octal expansion using binary notation as an intermediate step.
after 10 min the process is stopped, and fresh water is poured into the tank at a rate of 2 gal/min, with the mixture again leaving at the same rate. Find the amount salt in the tank at the end of an additional 10 min.
Let (X,d) be a compact metric space, and let Con(X) denote the set of contraction maps on X. We shall define the distance between two maps f,g which belongs to Con(X) as follows:
A standard 1 kilogram weight is a cylinder 43.5 mm in height and 48.5 in diameter. What is the density of the material?
an architect has allocated a rectangular space of 416 ft^2 for a square dining room and a 10 ft wide kitchen. find both the width of the square dining room and the length of the entire rectangular space?
Simulation of an expectation. Design a simulation exercise in R to approximate the value of E ( X^X) when X has a U [0,1] distribution. Plot the value of the approximation as the sample size goes from 1 to 10,000
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