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In a neighborhood consisting of 2,000 homes, 80 percent of the homes are valued at $325,000 or less. Which of the following statements about the values of the homes in the neighborhood must be true?

Indicate all such statements.
$$f (x) = 4x^{2} + 28x + 49$$ for all x.

Quantity A

The number b such that f(b) is the minimum value of f

Quantity B

-3


$$x$$=2

$$y$$=3

$$z$$=5

Quantity A

$$x^{-1}yz^{-2}$$

Quantity B

$$(\frac{xz}{y})^{-2}$$


$$\frac{1}{2}$$ < r < 1

Quantity A

2r

Quantity B

$$\frac{1}{r}$$


If n is an integer, what is the least possible value of $$3^{n}+(3)(3^{-n})$$

The figure above represents a semicircular garden that is enclosed by 20 feet of fencing and a straight garden wall. What is the area, in square feet, of the garden?
n is a positive integer.

Quantity A

The remainder when $$3^{4n}$$ is divided by 10

Quantity B

1




In a distribution of the values of the variable x, the 50th percentile is 48.5 and the 60th percentile is 56.5.

Quantity A

The 40th percentile of the distribution of the values of x

Quantity B

40.5


n is an integer between 100 and 200 such that when n is divided by 9, the remainder is 4. What is the number of possible values of n?
Each employee in two separate groups of 15 employees, group I and group II, was given a job-performance rating. The standard deviation of the ratings for group I was 8.5 and the standard deviation for group II was also 8.5.

Quantity A

The standard deviation of the 30 ratingss

Quantity B

17


Of the 66 guests at a certain hotel, 40 guests enjoy dancing and 25 guests enjoy swimming. If all but 6 of the guests enjoy dancing or swimming or both, how many guests enjoy dancing but not swimming?
A line in the xy-plane has the equation y=mx+6, where m is a constant and 3 ≤ m ≤ 4. Which of the following could be the x-intercept of the line?

Indicate all such values.
In a certain scale drawing of a rectangular garden, 1 inch represents 3 feet. The scale drawing of the garden has an area of 6 square inches.

Quantity A

The total area of the garden

Quantity B

50 square feet




The figure above shows five congruent circles each with radius 2 such that each of the five circles is tangent to two other congruent circles and to a smaller inner circle. The perimeter of the figure is composed of 5 line segments of length x and 5 circular arcs of length y. What is the perimeter of the figure?
A father purchased theater tickets for 6 adjacent seats in the same row of seats for himself, his wife, and their 4 children. How many seating arrangements are possible if the father and mother sit in the 2 middle seats?
If 15 percent of the students in a class are 16 years old or older, what is the least possible number of students in the class?
x and y are integers, and x < y-4

Quantity A

The number of even integers between x and y

Quantity B

The number of odd integers between x and y


If T=$$4n^{2}+3$$ and n is an integer, which of the following could be the units digit of T?

Indicate all such digits.

n is an integer

Quantity A

$$(\frac{1}{2})^{n}$$

Quantity B

$$(\frac{1}{3})^{n}$$


For all numbers x and y, the operation ▼ is defined by x ▼ y=x-2y.

Quantity A

1▼(2▼3)

Quantity B

(1▼2) ▼3


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