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In Orange County, the number of acres available for development in 2000 was approximately what fraction of the total land area of the county? (1 square mile=640 acres)
Which of the following represents the number of square miles of land that was available for development in Seminole County in 2000? (1 acre=43,560 square feet and 1 mile = 5,280 feet)
In 2000, the population density in Lake County was x people per square mile, and the population density in Osceola County was y people per square mile. What was the population density, in people per square mile, for the two counties combined?
y < x

y=rs

z=rxy

If r, s, x, y and z are positive even integers that are related by the system shown, what is the median of the integers r, s, x, y and z?
The average (arithmetic mean) of the first n positive integers is 17.

Quantity A

n

Quantity B

33


For a group of 9 steel beams stored together, the average (arithmetic mean) length of the beams is 7.2 meters and the median length is 8.4 meters. Two additional steel beams-one that is longer than all 9 beams and one that is shorter than all 9 beams-will be stored with the 9 beams. For the combined group of 11 steel beams, the average length is m meters and the median length is d meters. Which of the following statements must be true?

Indicate all such statements.
In the distribution of the weights of the fish in a certain sample, a weight of 30 pounds is 2.2 standard deviations above the mean and a weight of 14 pounds is 1.8 standard deviations below the mean. What is the mean of the wveights of the fish in this sample, to the nearest pound?
Let W be a continuous random variable such that P (W > $$\frac{1}{2}$$)=$$\frac{9}{10}$$ and P (W > $$\frac{3}{4}$$)=$$\frac{7}{20}$$. What is the value of P ($$\frac{1}{2}$$ < W ≤ $$\frac{3}{4}$$)?

Give your answer as a fraction.

Quantity A

The number of ordered triples ($$x_1$$, $$x_2$$, $$x_3$$), where $$x_1$$, $$x_2$$ and $$x_3$$ are non-negative integers such that $$x_1$$+$$x_2$$+$$x_3$$=9

Quantity B

55


A jar contains only red marbles and black marbles. The jar contains more than one red marble and 5 times as many black marbles as red marbles. Five marbles are to be selected from the jar without replacement.

Quantity A

Of the marbles selected, the number that will be red

Quantity B

Of the marbles selected, the number that will be black


Aboriginal people of Victoria, Australia, neither rejected Western material culture nor demonstrated an obsession with it; in fact, Western artifacts such as pipes and handkerchiefs were appreciated for their symbolic rather than their _________ value.
Sinden notes that in the face of warnings about the perils of climate change, the need to agree on strategies for reducing greenhouse-gas emissions is increasingly urgent. The question of who should reduce emissions is not (i)__________. Rather, according to Sinden, it is the question of who should bear the costs of these reductions that is (ii)____________.
The theater presented directors and designers with a remarkably (i)________ space, since the placement of the stage and of the audience could be (ii)_________ the needs of the production. And though audiences were sometimes unsettled when they found themselves thrust into the midst of the action, on balance they saw this as adding to the (iii)__________ of the performance.
The field suffers from being puffed up with its own importance, and that attitude of ______________ seems to infect very professional utterance.
What Dr. Walther has shown is that many of the standard statistical techniques that are supposed to insure against _________ correlations are inadequate in this case.
Although the virtues of supplementing wild fish populations with fish from hatcheries are often ______________, scientific studies have indicated that fish stocking can harm the wild, native species of the water body.
Although it is quite probable that many small asteroids in the solar system`s asteroid belt have (i) _____________, the total mass of these objects cannot be (ii) _____________, since the combined gravitational pull of all known asteroids is (iii) ______ to fully account for the asteroid belt's effect on the motion of nearby planets such as Mars.
Although streams of solar particles cause beautiful auroras-the northern and southern lights--sometimes their consequences are less _____________: their electromagnetic effects, for instance, can overload power grids and damage orbiting satellites.
The overall message of this book on neuroscience is (i) _____________: the brain is quite (ii) _____________, and therefore damaged brains can be healed, aging brains can be rejuvenated, and even ordinarily healthy brains can be made faster and better.
It is ironic that the scientist`s work was criticized recently for its _________ research methodology, since other researchers have argued for years that this same methodology was based absolutely on impeccable logic.

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