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In the three frequency distributions, the variable x has integer values from 1 through 5. For which of the distributions is the average (arithmetic mean) of the 15 values of x equal to the median of the 15 values of x?
The figure above shows a normal distribution with mean m and standard deviation d, including approximate percents of the distribution corresponding to the six regions shown. The lengths of phone calls made on a certain weekend by students at High School H are approximately normally distributed with a mean of 30 minutes and a standard deviation of 10 minutes. Which of the following statements must be true? Indicate all such statements.
How many different positive three-digit integers are there that have an odd hundreds digit?
How many integers between 100 and 1,000 have a hundreds digit that is even, a tens digit that is odd, and a non-zero units digit that is divisible by 3?
In a university, a certain committee consists of 6 faculty members, 4 administrators and 3 students. A subcommittee of 5 members will be selected from the committee. Professor Smith, who is one of the 6 faculty members, and Ms. Wilson, who is one of the 4 administrators must be on the subcommittee. The other 3 subcommittee members will be selected at random from the rest of the committee. How many different 5-member subcommittees can be selected?
The figure above represents a game board with a chip at staring point M. On successive plays, the chip may be moved along the lines from one labled point to an adjacent labled point, but may not be moved to the same point twice. Along how many different paths can the chip be moved from M to N in this game?
The vehicles of Company W are numbered consecutively from 1 to 650. The vehicles with a number that ends with one of the digits 1, 2, 3, 4, or 5 are used by Division 1. Vehicles with a number between 130 and 389, inclusive, are trucks. What percent of the company vehicles are trucks used by Division 1?
Three numbers are to be selected at random and without replacement from the five numbers 4, 5, 7, 8 and 11. What is the probability that the three numbers selected could be the lengths of the sides of a triangle?
The science of astronomy was begun by amateurs and today remains dependent on their contributions, which are incisive by virtue of being ____________ by the a priori assumptions that often vitiate the work of professional research scientists.
The painter Fu Baoshi lived and worked through a tumultuous period in Chinese history, _________ by exceptional talent and a steely dedication to his art.
Feeling that Francisco Suarez`s views on early modern philosophy had received an amount of attention (i)_____________ their great importance, the scholar decided to write a paper about Suarez to help (ii) _____________ that neglect.
Which of the following can be inferred about the action mentioned in the highlighted portion of the passage?
What is the value of $\frac{51!-50!}{50!-49!}$ ? Give your answer as a fraction.
If the probability that event R will occur is 0.75, and the probability that event M will occur is 0.58, which of the following is equal to the maximum probability that both events will occur?
During a certain month, $20$ percent of all the electricity used by a household was used by the water heater. The cost per kilowatt-hour of the electricity used by the water heater was half the cost per kilowatt-hour of the rest of the electricity used. For that month, the cost of the electricity used by the water heater was what fraction of the cost of the electricity used by the household?
$x+\frac{1}{x}=2$ Quantity A $x^{2}$ + $\frac{1}{x^{2}}$ Quantity B $x^{3}$ + $\frac{1}{x^{3}}$
The dollar value of a certain carving in 1983 was 20 percent greater than its dollar value in 1978. The dollar value of the carving in 1988 was 70 percent greater than its dollar value in 1978. Quantity A The percent increase in the dollar value of the carving from 1983 to 1988 Quantity B 50%
If xy ≠ 0, which of the following is equivalent to $y^{-1}=3x^{-1}$ ?
For two statistics classes, class A and class B, there are more students in class A than in class B. The heights of the students in both classes were measured. Which of the following statements individually provide(s) sufficient additional information to conclude that the average(arithmetic mean)height of the students in class A is greater than the average height of the students in class B? Indicate all such statements.
Stannard may be hoping to resurrect Spark's literary reputation with this book, given its ____________ praise for her creative talents.

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