Nine audio recordings have an average (arithmetic mean) duration of 5.7 seconds and a median duration of 7.5 seconds. If the duration of the longest recording is 3.3 seconds more than twice the duration of the shortest recording, what is the maximum possible duration, in seconds, of the longest recording?

If O is the center of the circle above, what fraction of the circular region is encompassed by an angle of x degrees?

S = {2, 3, 4, 6} T = {2, 3, 4, 6}

Two integers will be randomly selected from the sets above, one integer from set S and one integer from set T. What is the probability that the product of the two integers will equal 12?

If  is the product of the even integers from 10 to 20, inclusive, what is the greatest integer  for which  is a factor of ?

Which of the following is equivalent to the pair of inequalities $y+8>9$ and $y-2\le 1$?

In the coordinate plane, a circle has center (−1, −3) and passes through the point (4, 2). What is the circumference of the circle?

The rates of import tax on six of the last seven items Leo imported were 13%, 16%, 11%, 17%, 12%, and 14%, respectively. If the tax rate on the seventh item was either 17%, 15%, or 14%, for which of the three values does the average (arithmetic mean) tax rate per item for the seven items equal the median tax rate for the seven items?

I. 17% II. 15% III. 14%

One person bought 3 packages of fresh fish costing an average (arithmetic mean) of $12.40, and another person bought 6 packages of fresh fish costing an average of $15.25. What was the average cost, rounded to the nearest cent, of all of the packages of fresh fish?

Ten percent of the members of a class are in the skiing club. Among the members of the class who are not in the skiing club, 40 have previously skied in their lives and 41 have never skied. How many members are there in the class?

A family had a goal to save $1,890 over the course of a year by making equal monthly deposits into a savings account. At the end of the fourth month, the total amount the family had saved was $687. By how much was the actual savings more than the planned savings?

A game is played with a six-sided, regularly numbered die. The player starts with a number equal to 0.1n, where n is an integer between 1 and 6, inclusive. On each of 20 subsequent rolls, if the number rolled times 0.1 is greater than or equal to the player's current number, the player's current number is incremented by 0.1; if the number rolled times 0.1 is less than the player's current number and is odd, the player's number is decremented by 0.1; if the number rolled times 0.1 is less than the player's current number and is even, the player's number is unaffected. If 55% of the die rolls in a particular game are even, which of the following is a possible final value of that game?

I. 0.8 II. 0.5 III. 0.1

What is the approximate length, in inches, of the diagonal of a square of an area of 200 square inches?

Investment by a scientist in an established theory, especially because it has helped to attribute unobservable causes to phenomena, makes it likely to overlook gaps in the observable data or justify them too readily.

In the Surgeon General's Report: The Health Consequences of Smoking: 50 Years of Progress, researchers claim that new regulations requiring that any movie depicting smoking receives an adult rating drives rates down further.

The term "negative feedback" comes originally not from psychology, but from electronics, which uses the term to describe a part of a circuit that detects a positive signal and that, in response, takes action to diminish that signal.

Many people believe that such activities as owning a pet, taking care of another's pet, or babysitting an infant not only confer the capacity of friendship on a child but also develop role-taking skills, since that child must put him- or herself in the pet or infant's situation and imagine how that pet or infant feels.

In 1646, William Stafford published The Reason of the War, with the Progress and Accidents Thereof, Written by an English Subject, arguing in a pamphlet that Charles I give more power to Parliament and for peace on the basis of constitutional monarchy.

Personal fitness, despite facing an ongoing innovation challenge, ranks as one of the most profitable industries in a recent study, surpassed only by internet and network services.

Because surveys revealed that the airline merger had confused public perceptions of the two brands, executives at the acquiring company announced that it would rename the regional carrier it had acquired.

First-year sales of the film Bridge on the River Kwai obtained in 1957, and estimated to be 27 million dollars, made it the largest-grossing movie of the year.