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PREP07 Test 1 On her way home from work, Janet drives through several tollbooths. Is there a pair of these tollbooths that are less than 10 miles apart?(1) The first tollbooth and the last tollbooth are 25 miles apart.(2) Janet drives through 4 tollbooths on her way home from work.
Manhattan In Greenville last July, what was the average (arithmetic mean) home sale price?(1) In Greenville last July, there were 100 homes sold for a total of $51 million.(2) In Greenville last July, condominiums accounted for 60% of the home sales, and the average condominium price was $450,000.
Magoosh A drawer contains 8 socks, and 2 socks are selected at random without replacement. What is the probability that both socks are black?(1) The probability is less than 0.2 that the first sock is black.(2) The probability is more than 0.8 that the first sock is white.
OG19-数学分册 During a certain bicycle ride, was Sherry's average speed faster than 24 kilometers per hour? (1 kilometer= 1,000 meters) (1) Sherry's average speed during the bicycle ride was faster than 7 meters per second. (2) Sherry's average speed during the bicycle ride was slower than 8 meters per second.
190113 Given the distance between the starting point and the ending point on the map, what's the speed of a person driving this distance? (1) The scale of the map is given. (2) How long does it take for this person to drive from the starting point to the destination.
People associate global warming with temperature, but the phrase is misleading—it fails to mention the relevance of water. Nearly every significant indicator of hydrological activity—rainfall, snowmelt, glacial melt—is changing at an accelerating pace (one can arbitrarily pick any point of the hydrological cycle and notice a disruption). One analysis pegged the increase in precipitation at 2 percent over the century. In water terms this sounds auspicious, promising increased supply, but the changing timing and composition of the precipitation more than neutralizes the advantage. For one thing, it is likely that more of the precipitation will fall in intense episodes, with flooding a reasonable prospect. In addition, while rainfall will increase, snowfall will decrease. Such an outcome means that in watersheds that depend on snowmelt, like the Indus, Ganges, Colorado river basins, less water will be stored as snow, and more of it will flow in the winter, when it plays no agricultural role; conversely, less of it will flow in the summer, when it is most needed. One computer model showed that on the Animas River an increase in temperature of 3.6 degrees Fahrenheit would cause runoff to rise by 85 percent from January to March, but drop by 40 percent from July to September. The rise in temperature increases the probability and intensity of spring floods and threatens dam safety, which is predicated on lower runoff projections. Dams in arid areas also may face increased sedimentation, since a 10 percent annual increase in precipitation can double the volume of sediment washed into rivers. The consequences multiply. Soil moisture will intensify at the highest northern latitudes, where precipitation will grow far more than evaporation and plant transpiration but where agriculture is nonexistent. At the same time, precipitation will drop over northern mid-latitude continents in summer months, when ample soil moisture is an agricultural necessity. Meanwhile the sea level will continue to rise as temperatures warm, accelerating saline contamination of freshwater aquifers and river deltas. The temperature will cause increased evaporation, which in turn will lead to a greater incidence of drought. Perhaps most disturbing of all, the hydrologic cycle is becoming increasingly unpredictable. This means that the last century's hydrological cycle—the set of assumptions about water on which modern irrigation is based—has become unreliable. Build a dam too large, and it may not generate its designed power; build it too small, and it may collapse or flood. Release too little dam runoff in the spring and risk flood, as the snowmelt cascades downstream with unexpected volume; release too much and the water will not be available for farmers when they need it. At a time when water scarcity calls out for intensified planning, planning itself may be stymied.
Magoosh Sue planted 4 times as many apple seeds as she planted orange seeds. 15 percent of the apple seeds grew into trees, and 10 percent of the orange seeds grew into trees. If a total of 420 apple trees and orange trees grew from the seeds, how many orange seeds did Sue plant?
OG18-数学分册 A total of 5 liters of gasoline is to be poured into two empty containers with capacities of 2 liters and 6 liters, respectively, such that both containers will be filled to the same percent of their respective capacities. What amount of gasoline, in liters, must be poured into the 6-liter container?
OG19 OG20 OG2022 A certain restaurant that regularly advertises through the mail has 1,040 cover letters and 3,000 coupons in stock .In its next mailing ,each envelope will contain 1 cover letters and 2 coupons .If all of the cover letters in stock are used ,how many coupons will remain in stock after this mailing?
OG19-数学分册 A survey of employers found that during 1993 employment costs rose 3.5 percent, where employment costs consist of salary costs and fringebenefit costs. If salary costs rose 3 percent and fringe-benefit costs rose 5.5 percent during 1993, then fringe-benefit costs represented what percent of employment costs at the beginning of 1993 ?
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Carbon dioxide comprises, on average, about 397 parts per million of the Earth's atmosphere, on a molecular basis. In an even sample of the Earth's atmosphere consisting of 4 billion molecules, approximately how many of those molecules would be expected to be carbon dioxide? (1 billion = 1,000,000,000)
GWD PREP08 Test 2 Humans have been damaging the environment for centuries by overcutting trees and farming too intensively, and though some protective measures, like the establishment of national forests and wildlife sanctuaries, having been taken decades ago, great increases in population and in the intensity of industrialization are causing a worldwide ecological crisis.
If a certain toy store's revenue in November was $$\frac{2}{5}$$ of its revenue in December and its revenue in January was $$\frac{1}{4}$$ of its revenue in November, then the store's revenue in December was how many times the average (arithmetic mean) of its revenues in November and January?
By developing the Secure Digital Music Initiative, the recording industry associations of North America, Japan, and Europe hope to create a standardized way of distributing songs and full-length recordings on the Internet that will protect copyright holders and foil the many audio pirates who copy and distribute digital music illegally.
In a recent poll, 71% of respondents reported that they cast votes in the most recent national election. Voting records show, however, that only 60% of eligible voters actually voted in that election.Which of the following pieces of evidence, if true, would provide the best explanation for the apparent discrepancy?
PREP07 Test 1 Each of 10 machines works at the same constant rate doing a certain job. The amount of time needed by the 10 machines, working together, to complete the job is 16 hours. How many hours would be needed if only 8 of the machines, working together,were used to complete the job?
Manhattan Jane and Bob are currently x and 13 years old, respectively, where x is an integer. If Jane is older than Bob, what is the minimum value of x such that the sum of Jane's and Bob's ages has a units digit that is greater than the units digit of Bob's age?
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After prototypes of the company’s power supply system caused a number of fires, the design team promised the implementation of stricter testing procedures as those which were originally promised and to enforce continued maintenance of the potentially hazardous piece of equipment.
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As the quality of sports has come to top the list of reasons students choose to attend a given college, the school has become increasingly willing to invest in athletic programs those funds they would in the past have allocated to academic pursuits.
190124 500 students chose courses. Students who didn't take a single course accounted for 1% of the total. Students who took 1, 2, 3 and 4 courses accounted for 50%, 30%, 10% and 9% of the total number of students respectively. What is the median of the number of the courses the students chose?