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At a game tournament, 1008 people are divieded into teams of 6. how many teams can be formed?
A certain service station uses a team of 3 mechanics in one repair station to work on each car that needs repair. This team can repair cars at a rate of 9 per day.
Find any stationary points of the function from 1a. An use the first derivative test to see whether they are local maximum or local minimum of f(x).
Suppose the position of a particle after t seconds is given by the following vector equation - evaluate each of the following vectors:
Suppose that you travel north for 65 kilometers then travel east 75 kilometers. How far are you from your starting point?
A parcel of land is in the shape of a rectangle with length L (in feet). 65% of the length is waterfront and 70 feet of the length is not waterfront. Write and solve an equation to find the lenght of the parcel of land.
Use the Taylor Series for 1/(1-x) to find the Taylor Series of 1/(1+x) about x = 0 and its Interval of Convergence. Use the result of part (i) to find the Taylor Series of ln(1+x) about x = 0 and its Interval of Convergence.
Set up a hypothesis test to try to prove that the mean number of hours studied at your school is different from the 14.6-hour-per-week benchmark reported by BusinessWeek.
Probability Definition of Continuity. Suppose that f_x is the probability density function (PDF) of a continuous random variable X. Also suppose that f_x is continuous on (a, b)
Evaluate the integral by completing the square and using the following formula. (Remember to use ln |u| where appropriate.)
On a 10-question multiple choice test there are 5 possible answers for each question, of which 1 is correct and the other 4 are incorrect. If a student guesses randomly and independently, what is the probability of:
Suppose Frank owns 2000 shares of company X and 1000 shares of company Y. The total value of Franks holding for these 2 companies is $680,000 please write an equation for Bobs and franks holdings. Usa Variable X and Y to represent the values of sh..
Probability: Moment Generating Functions and Poisson Process Let X be a discrete random variable with probability mass function Pr {X=k} = c(1+ k^2) for k= -2, -1, 0, 1, 2.
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