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A bottle has a volume of m liters and is $$\frac{1}{2}$$ full of water. A second bottle has a volume of n liters and is $$\frac{1}{3}$$ full of water. The contents of both bottles are poured into an empty tank that has a volume of r liters, where r ≥ m + n. Which of the following represents the fraction of the tank's volume that is filled with water?
Five lists of data with 20 data values in each have arithmetic means $$a_1, a_2, a_3, a_4$$, and $$a_5$$ and medians $$m_1, m_2, m_3, m_4$$, and $$m_5$$,respectively.

Quantity A

The median of $$a_1, a_2, a_3, a_4$$, and $$a_5$$

Quantity B

The arithmetic mean of $$m_1, m_2, m_3, m_4$$, and $$m_5$$


Certain rectangular containers can each hold a maximum of 3 cubic feet of mulch. (1 yard =3 feet)

Quantity A

The maximum number of cubic yards of mulch that 100 of these containers can hold

Quantity B

13




In 1998 the yearly expenses to run a certain small business were x dollars. In 1999 the yearly expenses to run the business increased by 10 percent of the 1998 yearly expenses. In 2000 the yearly expenses decreased by 5 percent of the 1999 yearly expenses.

Quantity A

The percent increase from 1998 to 2000 in the yearly expenses to run the business

Quantity B

5%


One explanation for the (i)____________ science in late antiquity has to do with the (ii)____________ of science and technology: given the prevailing belief that natural knowledge should not be applied to practical ends, the incentive for scientists to search for practical applications of abstract theories of nature was (iii)____________.
It can be inferred from the passage that the Chinese emperor and the bureaucracy differed with respect to the


$$WXYZ$$ is a square and $$XV \gt VZ$$.

Quantity A

$$k$$

Quantity B

$$45$$


It can be inferred from the passage that members of "feminist consciousness-raising groups"
In light of the information given, which of the following, if true, most helps to account for Andesara's now importing more grain than it exports?
For every________reader of Vestiges there were many more who became vocal critics, and the book aroused heated opposition from a broad range of British society.
Between 1975 and 2005 water use in the United States declined just as the population rose, showing the old assumption that total water consumption is positively correlated with population growth to be _______.
The author's mention of the fact that the ethnographic print texts "existed well before Silko was born" serves primarily to
Experience suggests that (i)______and market (ii)_______are by no means (iii)_______for corporations: executives at well-performing companies possess a keen business sense, but also tend to have oversized personalities.
The artists sought to (i)____________ precisely the impulses that traditional or generally accepted thinking had (ii)___________. By cultivating instinctive, irrational awareness—which might come from dreams or from accepting results derived by chance or from a receptivity to taboo—they hoped to (iii)____________their audience`s sense of everyday reality.
The author's reference to the fact that "even low elemental concentrations and minute features in diamonds can now be analyzed" serves primarily to
Looking back on a project that they had approached with both great________ and considerable aspirations, they were amused to recognize that neither the fears nor the hopes had been at all realistic.
In noting that critical and popular opinions about Li`s art coincided, Chuang _____ the existence of an exception to her general theory of art criticism, which posits that critics` views do not intersect with those of the general public.


In the figure shown, AB is parallel to EC and the length of ED is $$\frac{1}{3}$$ of the length of AD.

Quantity A

The ratio of the area of triangle ECD to the area of quadrilateral ABCE

Quantity B

$$\frac{1}{8}$$


List A consists of 25 positive integers $$a_1$$, $$a_2$$, $$a_3$$,...,$$a_{25}$$ that are ordered from least to greatest. The median and the mode of the integers in A are both equal to 10. List B consists of 25 positive integers $$b_1$$, $$b_2$$, $$b_3$$,...,$$b_{25}$$ that are ordered from least to greatest. The median and the mode of the integers in B are both equal to 15. List C consists of the 25 sums $$a_i$$ +$$b_i$$, for all integers $$i$$ such that 1 ≤ $$i$$ ≤ 25. The mode of the integers in C is $$m$$.

Quantity A

The median of the integers in C

Quantity B

$$m$$


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