Each of the 1,800 households that participated in a survey owned either one car, two cars, or no cars. If 740 of the households owned only one car and at least $$\frac{1}{3}$$ of the households owned two cars, what is the greatest possible value of the ratio of the number of households that owned no cars to the number of households that owned two cars?
Give your answer as a fraction.
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y - x = 1
Quantity A: $$\frac{5^{x}}{5^{y}}$$
Quantity B: $$\frac{1}{5}$$
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The centers of the five smaller circles all lie on segment AB, which is a diameter of the largest circle, and each circle is tangent to two of the other circles.
Quantity A: The circumference of the largest circle
Quantity B: The sum of the circumferences of the five smaller circles
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|x-3| = y, where x < 3
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List A consists of n integers and list B consists of k integers. The average (arithmetic mean) of the integers in list A is less than the average of the integers in list B. The sum of the integers in list A is 524 and the sum of the integers in list B is 565.
Quantity A: n
Quantity B: k
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In the figure shown, AB=BD=DC and the degree measure of angle ABD is 80.
Quantity A: The degree measure of angle DBC
Quantity B: 30
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$$x^{-1}y^{-1}$$ > 0
Quantity A: $$\frac{x^{-1}}{y^{-1}}$$
Quantity B: $$\frac{x}{y}$$
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Today a certain machine is worth 20 percent less than it was worth a year ago, and it is worth x percent less than it was worth two years ago. A year ago the machine was worth 20 percent less than it was worth two years ago.
Quantity A: x
Quantity B: 40
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Quantity A: $$\frac{100!}{99!}$$
Quantity B: $$\frac{100!-99!}{98!}$$
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1 cup=8 ounces
1 pint=2 cups
1 quart=2 pints
A large coffee jug contains 3 quarts, 1 pint, and 1.5 cups of coffee. What is the greatest number of 12-ounces mugs of coffee that can be filled from the jug?
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If the average (arithmetic mean) of the list of positive integers 2, x, y and 7 is 3, then the median of the list of integers is?
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The shaded triangle in the xy-plane above is bounded by the x-axis and the graphs of y=-x+3 and y=($$\frac{3}{2}$$)x+3. What is the area of the triangle?
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The random variable X has the standard normal distribution with a mean of 0 and a standard deviation of 1, as shown. Probabilities, rounded to the nearest 0.01, are indicated for the six intervals shown. The random variable Y has a normal distribution with a mean of 2 and a standard deviation of 1. Using the probabilities shown, approximately how much greater is the probability that the value of Y is between 1 and 2 than the probability that the value of X is between 1 and 2?
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In a group of 100 adults, each owns a DVD player, a CD player, or both. If 60 adults own a DVD player and 70 adults own a CD player, how many adults own both?
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Each of the15 customers who arrived at a customer service desk between 9 AM and 10 AM was served in order of arrival by one of the two customer service representatives. Each representative served one customer at a time and finished with that customer before serving any other customers. The graph shows the waiting and service times, recorded to the nearest minute, for customers numbered 1 to 15.
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Of customers 4, 6, 8, 9 and 10, which one was served by the customer service representative who served customer 1?
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According to the recorded times, which customer had the greatest ratio of waiting time to service time?
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What was the range of the recorded service times, in minutes, for the 15 customers?
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In a certain sequence of numbers, the $$1^{st}$$ term is equal to 1 and each term after the $$1^{st}$$ term is equal to 12 times the square of the preceding term. If the $$5^{st}$$ term of the sequence is equal to $$12^{n}$$, what is the value of n?
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The operation a¤b is defined for all numbers a and b by a¤b=a+3b+6. If c¤c=c, what is the value of c?
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