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3x-2k=7 9x-6k=21 Quantity A x Quantity B k
In plane P, point Q is on line l. Quantity A The number of points in plane P whose distance from line l is 2 and whose distance from point Q is 3 Quantity B 4
Of the following, which graph best represents a shaded region in which every point $$(x, y)$$ satisfies the inequality $$y ≤ \|x\|$$?
A certain closed curve consists of n semicircles having the same radius of $$\frac{r}{n}$$ together with a larger semicircle having a radius of r. The n semicircles are aligned along the diameter of the larger semicircle as indicated in the figure for n=7. The area of the region enclosed by the curve, in terms of n, and r, is which of the following?
The area of the shaded semicircular region is 64π. Quantity A The length of radius OR Quantity B 10
2h+3k=5, 2j-k=2, what is the average of h, k, and j?
Larry and Tony work for different companies. Larry's salary is the $$90^{th}$$ percentile of the salaries in his company, and Tony's salary is the $$70^{th}$$ percentile of the salaries in his company. Which of the following statements individually provide(s) sufficient additional information to conclude that Larry's salary is higher than Tony's salary? Indicate all such statements.
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?
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 benefits offered by information technology do not (i) ______________ the need for individual reasoning; for example, Internet users should not allow the reasoning process to be (ii) ______________ the mere accumulation of raw data.
The newspapers described the writer as a (i) _____________, but she was really quite (ii) _____________once you met her in person.
Some critics claim that because medical journals receive (i) _____________ selection of findings from clinical trials—mainly those trials that show (ii) _____________ results for the drugs being tested—readers of those journals believe that some medications are more (iii) _____________ than they really are, even when those medications are little more than placebos.
While buying and selling were the primary interests of people who gathered at flourishing medieval markets, these were not the only activities people engaged in there. Trips to the market were also social occasions, providing a good place to see and be seen, as indirectly attested by texts deriding those who adorned themselves more elegantly to visit a market than to visit a church. Markets also provided a good place to hear and be heard. As venues for royal proclamations, markets' chief advantage lay in their popularity with the peasantry. In theory, parish churches were equally suitable in this respect; but in practice, royal administrators found that markets better enabled them to integrate rural areas into institutional chains of communication.
n is a positive integer. Quantity A $$\frac{1}{3^{n}}$$ Quantity B $$3(\frac{1}{4^{n}})$$
Quantity A The range of 10 consecutive integers Quantity B 10
The function f is defined by f(x) =$$x^{2}$$-18x+56 for all numbers x. If r and t are two different numbers such that f(r) = f(t) = 0. What is the value of $$\frac{r+t}{2}$$?
In the $$xy$$-plane, line $$m$$ passes through the point $$(7, 7)$$ and is perpendicular to the line $$x+y=4$$. The point $$(a, b)$$ is on line $$m$$ and is halfway between the point $$(7, 7)$$ and the line $$x+y=4$$. What is the value of $$a+b$$?
There are two parallel lines, and the third line intersects these two lines. Quantity A The number of points with equal distance from three lines Quantity B 3
A hexagon with sides of equal length and interior angles of equal measure is inscribed in a circle. If the perimeter of the hexagon is 12, what is the perimeter of an equilateral triangle inscribed in the same circle?
n is a positive integer Quantity A The remainder when n(n+1)(n+2) is divided by 6 Quantity B 1

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