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Studies of voting patterns in the town of Glen Isle have shown that the single most effective way for politicians to win votes is to purchase expensive television advertising. A candidate challenging the incumbent for a seat on the town council has argued that the importance of television advertising inherently favors incumbents and therefore that political television advertising should be banned in Glen Isle.The challenger's conclusion logically depends on which of the following assumptions?
The number of students who play for Town X's high school sports teams is greater than the number of students who play for Town Y's high school sports teams. Because of their greater participation in school athletics, the high school student population of Town X is more physically fit than that of Town Y.Each of the following, if true, weakens the conclusion above EXCEPT:
The automobile industry in Country A argues that, because foreign automakers underpay workers and get nationally subsidized materials, they can offer artificially low prices. Thus, the industry argues, the current 8 percent tariff on imported products should be increased for automobiles. However, other industries in Country A remain healthy despite competition with imported products without exceptional tariffs. This fact indicates an increased automobile tariff is unnecessary.Which of the following, if true, most strongly supports the argument of Country A's automobile industry against the challenge made above?
Of the 60 participants in a clinical trial, 30 participants were considered to be in the experimental group, and were administered a large dose of an experimental painkiller called nexaphedrinol, while the 30 remaining participants were considered to be in the control group, and were administered the same dose of a placebo. Afterward, participants in the experimental group exhibited fine motor skills that were more diminished than those of the control group. The observed detrimental effects on fine motor skills were attributed to a compound in nexaphedrinol called phedrine, which temporarily damages nerve endings.Which of the following, if true, would best support the conclusion that a certain compound in the painkiller was responsible for the observed results?
On a certain field trip, the ratio of teachers to students was 3 : 7. What was the number of parents on the field trip?1. On the field trip, the ratio of the number of students to parents was 5:1.2. The number of parents on the trip was less than 20.
While on straight, parallel tracks, train A and train B are traveling at different constant rates. If train A is currently 2 miles behind train B, how many minutes from now will train A be 4 miles behind train B?1. Three minutes ago, train A was 1 mile behind train B.2. Train A is traveling at 80 miles per hour, and train B is traveling at 100 miles per hour.
By what percent did the median annual cost of health insurance in City X increase from 1990 to 2000?1. In 1990, the median annual cost of health insurance in City X was$$\frac{2}{3}$$ of the median annual cost of health insurance in City Y.2. In 2000, the median annual cost of health insurance in City X was$$\frac{6}{7}$$ of the median annual cost of health insurance in City Y.
If a certain factory makes a total of 30,720 wrenches, how many minutes does the factory take to make the wrenches?1. The factory creates the wrenches without interruption at a rate of 32 wrenches per second.2. It takes 4 times as long for the factory to create the wrenches as it does to load them into trucks, and it takes the factory a total of 20 minutes to do both.
$$({\sqrt{{7}+\sqrt{48}}+\sqrt{{7}-\sqrt{48}}})^{2}$$
OG17 An amusement park currently charges the same price for each ticket of admission. If the current price of admission were to be increased by $3, 12 fewer tickets could be bought for $160, excluding sales tax. What is the current price of each ticket?
Is abc = 2?1. ab-22. be = 2
A circular table has a glass center with a diameter of 4x inches, which is surrounded by a metal ring with a width of 2 inches. In terms of x, what fraction of the table's surface is made up by the metal ring?
In a certain shipment of T-shirts, 20 percent are red. Of those shirts, 30 percent are size small. If there are 366 red, small T-shirts, how many T-shirts in total were in the original shipment?
Is x > y?1. 6x > 5y2. xy < 0
Of the following integers, which is the closest approximation to$${(\sqrt{3}+\sqrt{7})}^{2}$$ ?
In the xy-coordinate plane, line l passes through the point (-3, 0). Does line I pass through the point $$(0,\frac{3}{4} ) $$?1. The slope of line l is $$\frac{1}{4}$$2. Line l passes through the point (5, 2).
Is the positive integer n divisible by 6?1. $$n^{2}\over{180}$$ is an integer.2. $${144}\over{n^{2}}$$ is an integer.
The workers at a large construction company reported x percent fewer safety incidents in 2004 than in 2003, and y percent more incidents in 2005 than in 2004. If the workers reported a total of 1,000 incidents in 2003, how many incidents did the workers report in 2005?1. xy – 502. $$y-x-x\frac{y}{100}=4.5$$
PREP07 Test 1 In the xy-plane, at what two points does the graph y = (x + a)(x + b) intersect the x-axis?1. a + b = - 62. The graph contains the point (0, -7).
If N is a positive, three-digit integer, what is the hundreds digit of N?1. The hundreds digit of N + 120 is 7.2. The tens digit of N + 15 is 9.