In the figure shown, seven small circles of equal diameter are located inside a large circle. Each of the six outer small circles is tangent to the small circle in the center, to two other adjacent small circles, and to the large circle. If the diameter of the large circle is D, then the sum of the areas of the unshaded regions inside the large circle is equal to which of the following?
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Of the students enrolled at University U in the fall of 2008, $$\frac{3}{8}$$ were sophomores and $$\frac{1}{50}$$ were biology majors. Which of the following could be the number of students enrolled at University U in the fall of 2008 ?
Indicate all such numbers.
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If 3x+y=2, 3x+2y=0, and x-2z=1, what is the value of z ?
Give your answer as a fraction.
z=_____
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When the positive integer N is divided by 16, the remainder is 3. Which of the following integers could be the remainder when N is divided by 6 ?
Indicate all such integers.
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Quantity A:$$2^{x+2}$$
Quantity B:$$(4)(2^{x})$$
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x is a negative integer.
Quantity A:$$x^{2x}$$
Quantity B:0
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t>0
x<2t
y>5t
Quantity A:$$\frac{y-x}{3}$$
Quantity B:
t
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Point O is the center of the circle. Line segment OT and arc RST both have length 4.
Quantity A:x
Quantity B:60
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$$y=2x^{2}+3$$
Quantity A:In the equation, the number of y-values that correspond to each x-value
Quantity B:2
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x≠1
Quantity A:$$\frac{x^{2}-2}{x-1}$$
Quantity B:x+2
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$$(x+y)^{2}=25$$
Quantity A:The average (arithmetic mean) of x and y
Quantity B:0
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Quantity A:
The standard deviation of the heights of 12 people whose heights range from 62 inches to 74 inches, inclusive
Quantity B:
The standard deviation of the heights of 12 people whose heights range from 60 inches to 72 inches, inclusive
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If a company required a total storage capacity equal to the combined storage capacity of 16 small sheds, which of the following rentals would cost the least per week for the company`s storage capacity requirements?
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In the figure, ABCD is a square, E is the midpoint of side AD, and F is the midpoint of side BC. The area of the shaded region is what fraction of the area of square region ABCD ?
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When the integer n is divided by 20, the remainder is 15. Which of the following must be a divisor of n ?
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Twenty-three cards are numbered consecutively from 1 through 23. If one card is to be randomly selected from the 23 cards, what is the probability that the number on the selected card will be a multiple of 3 or a multiple of 4 or a multiple of both 3 and 4 ?
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In the figures shown, ABCD is a square with sides of length 12, and EFGH is a square with sides of length 9. If the ratio of the area of square ABCD to the area of square EFGH is equal to the ratio of the area of triangle PCD to the area of triangle QGH, what is the ratio of the length of PC to the length of QG ?
Give your answer as a fraction.
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Which of the following is closest to the fraction of the world population who were Internet users?
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For which of the following regions was the number of Internet users greater than the population of the Middle East?
Indicate all such regions.
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