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Prep2007E1-PS-122

Jill, who lives in City C,plans to visit 3 different cities, M, L, and S. She plans to visit each city exactly once and return to City C after the3 visits. She can visit the cities inany order. In how many different orderscan she visit the 3 cities?


Prep2007E1-PS-121

7.51 8.22 7.86 8.36

8.09 7.83 8.30 8.01

7.73 8.25 7.96 8.53

Avending machine is designed to dispense 8 ounces of coffee into a cup. After a test that recorded the number ofounces of coffee in each of 1,000 cups dispensed by the vending machine, the 12listed amounts, in ounces, were selected from the data. If the 1,000 recorded amounts have a mean of8.1 ounces and a standard deviation of 0.3 ounce, how many of the 12 listedamounts are within 1.5 standard deviations of the mean?


Prep2007E1-PS-120

Whichof the following is closest to the value of ~$\frac{999}{100+\frac{1}{999}}$~


Prep2007E1-PS-118

For a certain examination,a score of 58 was 2 standard deviations below the mean, and a score of 98 was 3standard deviations above the mean. Whatwas the mean score for the examination?


Prep2007E1-PS-117

A certain office supply store stocks 2 sizes of self-sticknotepads, each in 4 colors: blue, green,yellow, or pink. The store packs thenotepads in packages that contain either 3 notepads of the same size and thesame color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how manydifferent packages of the types described above are possible?


Prep2007E1-PS-115

A used-car dealer sold one car at a profit of 25 percent of the dealer's purchase price for that car and sold another car at a loss of 20 percent of the dealer's purchase price for that car. If the dealer sold each car for $20,000, what was the dealer's total profit or loss, in dollars, for the two transactions combined?


Prep2007E1-PS-114

If 0 < x < 1, what is the median of the values ~$x, x^{-1}, x^{2}, \sqrt{x}, $~ and ~$x^{3}$~?


Prep2007E1-PS-113

For all positive integers m, [m] = 3m when m is odd and [m] =1/2 m when m is even. Which of the following is equivalent to[9] x[6] ? 


Prep2007E1-PS-110

The residents of Town Xparticipated in a survey to determine the number of hours per week eachresident spent watching television. Thedistribution of the results of the survey had a mean of 21 hours and a standarddeviation of 6 hours. The number ofhours that Pat, a resident of Town X, watched television last week was between1 and 2 standard deviations below the mean. Which of the following could be the number of hours that Pat watchedtelevision last week?


Prep2007E1-PS-109

Last year, a certain publictransportation system sold an average (arithmetic mean) of 41,000 tickets perday on weekdays (Monday through Friday) and an average of 18,000 tickets perday on Saturday and Sunday. Which of thefollowing is closest to the total number of tickets sold last year?


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