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Let X = Z × (Z {0}), and ∼ be the relation defined on X by (a, b) ∼ (c, d) whenever ad = bc. Let R = X/ ∼= {[x] : x ∈ X}, so R is the set of equivalence classes of ∼. Define the operation ⊕ on R,by setting [(a1, b1)] ⊕ [(a2, b2)] = [(a1b2 + a2b1, b1b2)]. Show that this operation is well-defined.
Suppose that in Sleepy Valley, only 46% of those over 50 years old own CD players. Find the probability that among four randomly chosen people in that age group none owns a CD player.
Find a function that models the revenue in terms of ticket price. (Let x be the ticket price and R(x) be the revenue.)
Define leadership. What is the difference between a leader and a manager? What is the relative importance of leaders and managers to the success of organisations today?
If an intercept involves a radical, give that answer as well as a calculator approximation rounded to three decimal places. Be sure to check that your results are consistent with the initial graphical estimates: y = x^4 - 25
The zeros of this polynomial are the eigen values for the system. So, to find the eigen values for a system means solving a polynomial equation.
A mother wants to invest $9,000 for her son's future education. She invests a portion of the money in a bank certificate of deposit (CD account) which earns 4& and the remainder in a savings bond that earns 7%. If the total interest earned after o..
Find the probability that a student selected at random out ofthe 200 takes neither math nor history nor English.
What was the initial size of the culture?
Will this use compound interest? If not, how can I word the problem where the interest will compound?
The following data summarizes the historical demand for a pr, Month Actual demand, March 20, April 25
Find the MTTF (or mean cycle for failure) for the bearings
With so many ways to stay connected (e-mail, voice mail, , text messaging, and so on) and with many people feeling overwhelmed because of this high degree of connectedness, what are some ways to give yourself a break from always being on call whil..
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