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
|
|
|x-3| = y, where x < 3
|
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
|
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
|
$$x^{-1}y^{-1}$$ > 0
Quantity A: $$\frac{x^{-1}}{y^{-1}}$$
Quantity B: $$\frac{x}{y}$$
|
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
|
Quantity A: $$\frac{100!}{99!}$$
Quantity B: $$\frac{100!-99!}{98!}$$
|
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?
|
|
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?
|
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?
|
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?
|
|
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?
|
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.
|
|
Of customers 4, 6, 8, 9 and 10, which one was served by the customer service representative who served customer 1?
|
|
According to the recorded times, which customer had the greatest ratio of waiting time to service time?
|
|
What was the range of the recorded service times, in minutes, for the 15 customers?
|
|
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?
|
|
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?
|
|
A certain store sells circular rugs at a constant price per square foot. If a circular rug with diameter 5 feet costs $250, what is the cost of a circular rug with diameter 9 feet?
|
A company has assets worth $150,000 and liabilities worth $70,000, giving it an asset-to-liability ratio of approximately 2.1. The company will borrow x dollars, and the amount borrowed will be added to both the assets and the liabilities. If the asset-to-liability ratio is to be greater than 1.2 after the money is borrowed, which of the following could be the value of x?
Indicate all such values.
|
