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A tube of Listerine Tartar Control toothpaste contains 4.2 ounces. As people use the toothpaste, the amount remaining in any tube is random. Assume the amount of toothpaste left in the tube follows a uniform distribution. From this information, we can determine the following information about the amount remaining in a toothpaste tube without invading anyone's privacy.
a. How much toothpaste would you expect to be remaining in the tube? b. What is the standard deviation of the amount remaining in the tube? c. What is the likelihood there is less than 3.0 ounces remaining in the tube? d. What is the probability there is more than 1.5 ounces remaining in the tube?
Define the differential operation Dx: P^3 to P^2 such that Dx(p)=p' Determine a matrix A such that Dx(p)=Ap=p'
Corey is asked to find the maximum value of a function. Not having a complete understanding of the process, Corey decides to find the derivative of the function, set it equal to zero, and solve. The resulting value, Corey reasons, will yield the m..
A rocket consists of a right circular cylinder of height 25m surmounted by a cone whose height and diameter are equal and whose radius is the same as that of the cylindrical section.
Calculate Clayton's profit margin and debt ratio.
What is the volume created by rotating region R around the line y=5?
What is the marginal productivity of labor and marginal productivity of capital when the amounts expended on labor and capital are 625 work-hour and $10,000 respectively.
A rectangular building lot measures 295 ft. by 438 ft. Find the number of acres in the lot. Round to two places after the decimal. Show all steps taken to find the solution.
hardware store sells house numerals. It has large quantities of the numerals 3, 5 and 8 but is out of all the others. How many different house numbers, with no more than three digits, can be made from these numerals?
He is standing at the edge of a rose garden 9.00 meters below her window and 11.0 m from the base of the wall. How fast are the pebbles going when they hit her window?
Each single burger contains 430 calories. What is a function rule to represent this situation?
Suppose that 320 feet of fencing material with which to enclose a rectangular field that borders on a straight stream. If the farmer does not enclose the side bordering on the stream, what are the dimensions of the field of maximum area?
the circle is circumscribed by the pentagon as shown (not drawn to scale). If QZ=10, YX=9, XW=9, UW=17, and SU=10, find the perimeter of the pentagon.
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