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Let A be the set of all citizens of New York City. For a, b ∈ A, define a ~ b if and only if
(a) neither a nor b have a cell phone, or
(b) both a and b have cell phones in the same exchange (that is, the first three digits of each phone number are the same).
Show that ~ defines an equivalence relation on A and find the corresponding equivalence classes.
The mean life M of an atom in a radioactive substance is given by M = k 0∫∞te-kt dt, where k is a constant. For the radioactive carbon isotope 14C the value of k = 0.000121 year-1. Use this to find the mean life of a 14C atom.
the manager of a small business receives a shipment of five hard drives. three hard drives are good and 2 are
Compare the descriptive statistics you calculated to the population statisticsreported. Were there differences? Why or why not? Do you think that the sample you picked was representative of the population? Explain your response
Find the volume of the region rotated about the given axis bounded by the graphs of e^-x, y=0, and x=0.
Diane Van Os decided to buy a new car since her credit union was offering such low interest rates. She borrowed $31,100 at 5.5% on December 28 2012, and paid it off February 23 2014. How much did she pay in interest?
A system consists of four subassemblies connected in series. The individuak subassembly reliabilities are as follows:
Let G be the set of the fifth roots of unity. Use de Moivre's formula to verify that the fifth roots of unity form a group under complex multiplication, showing all work. Prove that G is isomorphic to Z5 under addition by doing the following: State e..
If the water level is rising at a rate of 20 cm/min when the height of the water is 2 m, find the rate at which water is being pumped into the tank.
find the rate at which water is being pumped into the tank in cubic centimeters per minute.
find the area of the surface of the cylinder z^2 +y^2=9 lying in the first octant between planes y=x^2 and y=3x
A printed poster is to have a total area of 603 square inches with top and bottom margins of 4 inches and side margins of 3 inches. What should be the dimensions of the poster so that the printed area be as large as possible?
A company has made the subsequent investments at 18 percent interest rate as shown in the table below.The maximum investment that the company will make in year 1 is equal to?
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