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In a competition, a certain contestant scored either 2 points or 4 points in each round of the competition. This contestant`s average (arithmetic mean) score for the entire competition was 3.8 points per round.

Quantity A

9 times the number of rounds in which the contestant scored for 2 points

Quantity B

The number of rounds in which the contestant scored for 4 points




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 9 computers in an office are to be interconnected by cables so that each computer is connected directly to each of the other computers. If each cable that connects a pair of the computers counts as one cable, how many cables are needed?
In a probability experiment, R, S, and T are events such that P(S)=P(T)=x, P(R)=kx, and P(R or S) < P(S or T), where k and x are positive numbers. Events R and S are mutually exclusive, and events S and T are independent.

Quantity A

k

Quantity B

1-x


Although critics and curators have placed Romare Bearden in any number of contexts-with collage artists, with Black Atlantic artists, among American Abstractionists, or with artists from the Civil Rights era-he (i) ___________ the (ii) ___________ of the conventional art world.
At first glance, each of the stories in the anthology seemed (i)__________; upon closer inspection of their protagonists, implied morals, and fantasy elements, however, subtle similarities among the stories emerged to (ii)_________ this initial observation.
In general, the relationship between neural activity and behavioral output is ____________: multiple behaviors can be associated with activation of the same neurons and multiple neurons can trigger the same behavior.
The _____________ of Craig`s government had left the nation almost totally unprepared for war when it came.
The field suffers from being puffed up with its own importance, and that attitude of ______________ seems to infect very professional utterance.
Baron's book implores scientists to present their work in ways that are accessible to the general public in order to save the world at large from scientific illiteracy, ______________ that is echoed in other recent publications.
Scientists could not build on each other's work if they could not trust the published work of their colleagues; thus progress in science depends on the ____________ of practicing scientists.
Most tree-dwelling lizards drop to the ground when threatened. But Sphenomorpus sabanus uses (i)____________, avoiding predation by hanging upside down and clinging to a branch with its hind claws so as to resemble a twig. Researchers suggest that the advantages of S. sabanus`s strategy is its (ii)____________. When predatory birds expect their prey to fall to the ground, the argument runs, (iii)____________ a lizard still hanging from a branch.
While the rate at which absolute global sea level is rising may seem ___________, it has been far from an incidental factor in human history.
Responsibility for the nation`s decline rests squarely with a people who take for granted their claims to preeminence but do not ____________ interest in or commitment to actually maintaining it.
The bird-watchers' ________________ distinguishing personal interpretations from factual observations was a liability in their stated goal of obtaining objective information about the everyday behavior of ravens.
The foundation`s new president is well aware that the foundation`s charter intends (i)____________ role for the office of president, but he is clearly determined to flout that intention by (ii)____________ as much power and responsibility as possible.
For certain economies, "pure" economic theory, that is, economic theory ____________ a specific social structure, is impossible, much like a concept of anatomy that investigates no specific species.
The concept of the Hellenistic period in ancient history has proved useful but also _____________, with scholars disagreeing on the dates when the period began and ended.
The Cassini spacecraft initially found the bodies of liquid methane on Saturn's moon Titan to be very (i) _______, a surprising result since the reduced surface tension and viscosity of liquid methane, as compared to water on Earth, should make it (ii) _______ waves.
With respect to environmental issues, most legal scholarship tends to envision politics as the pursuit of already fixed interests, a view that (i)________ the ability of political communities to (ii)________ their values and their interests through the process of democratic deliberation.

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