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Use the washer method to find the volume of the solid of revolution formed by revolving the region bounded by f (x)= 3x^2 and g (x)=2x+1 about the x-axis. (Round the answer to 4 decimal places.)
Explain how a block design can be used to set up this experiment and find the set of parameters ( v, b, k, r, λ ) of such a design where the number of testers is as small as possible.
Suppose that a batch of 100 items contains 6 that are defective and 94 that are nondefective. If X is the number of defective items
.With the conditions of problem 1, if 20 students are selected , what is the probability that the mean of their scores is greater than 18?
In the class, there are 12 freshmen, of whom 8 are males and 15 sophomores, of whom 5 are females. If one student is selected at random, what is the probability of selecting a freshman or a female?
Form each of the following: Plot the graphs of the equations you created:
Select and discuss two examples of real life objects that incorporate the parabolic shape. Explain why the parabolic shape was used for the objects.
Prove that there is a positive integer that equals the sum of the positive integers not exceeding it. Is your proof constructive or nonconstructive?
A box is made from a sheet of metal that is 8 meters by 10 meters, by removing a square from each corner of the sheet and folding up the sides. Find the width of the square to removed in order to have a box of maximum volume.
Assuming that the total cost per day, C(x), is linearly related to the total output per day, x, write an equation for the cost function.
Explain what is meant by a universal set. Give a real world example of two universal sets. Be sure to first clearly define the two sets.
The decision variables, Need a physical explanation as to why X37 = 400, X78 = 0, and X48 = 400. I need for these computer generated numbers to make sense and be able to justify them
The probability that a house in an urban area will be burglarized is 5%. If 50 houses are randomly selected, what is the probability that one of the houses will be burglarized?
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