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The frequency distribution above shows the number of colleges visited by a sample of students. If the median of the numbers of colleges visited is 3, which of the following could be the value of x?

Indicate all such values.
In a sequence of 700 integers, each term after the first two terms is the sum of the two preceding terms.

Which of the following could be the number of odd integers in the sequence?

Indicate all such numbers.
In the xy-plane, a triangle has vertices (0, 3), (b, 3), and (0, 3b), where b is a constant. If the area of the triangle is 18. which of the following is a possible value of b?


The table above shows the times, in seconds, that it took each of 5 mechanics to perform a simple task. For the 5 times shown, if the median is greater than the average (arithmetic mean), which of the following could be the value of x?

Indicate all such values.
Alice and Eddie are each flying a kite on level ground. A taut string extends from Alice's hand to her kite so that the length of the string between the end A in her hand and the end X attached to her kite is 105 meters and A is 2 meters above the ground. A taut string extends from Eddie's hand to his kite so that the length of the string between the end B in his hand and the end Y attached to his kite is 110 meters and B is 1 meter above the ground. At a certain moment, when X and Y are directly above each other, the point on the ground directly below X and Y is 5 meters and 45 meters, respectively, from the points on the ground directly below A and B. Which of the following statements is true about the relative heights of X and Y above the ground at that moment?
On a 60-question true-false test, Marcy answered correctly all questions she understood, and she guessed randomly on all questions she did not understand. She answered 52 questions correctly on the test. How many questions did Marcy most likely understand?
On the number line, which of the following represents the solution set of the inequality $$x^{2}- 5x+6 ≤ 0$$?

Machines A and B each assembled 3,000 metal clips in 15 hours and 12 hours, respectively, working alone at their constant rates. On Monday, working simultaneously at their respective constant rates, the two machines assembled a total of n clips in x hours. The next day, machine A was modified so that its constant rate decreased by 25 percent. If the two machines worked simultaneously at their respective constant rates for x hours after the modification of machine A, then the total number of clips that they assembled in x hours was approximately what percent less than it was the day before?
An order for bottles of vitamins from a certain mail order company costs $12.04 per bottle plus a shipping cost of $4.80 regardless of the number of bottles ordered. Over the past year, the company has received 100 orders for bottles of vitamins. The standard deviation of the numbers of bottles per order for the 100 orders is 1.5 bottles. What is the standard deviation of the 100 costs for the orders?

_____$
S is an integer that is greater than 2.

Quantity A

The average (arithmetic mean) of $$\frac{1}{S^{2}}$$, $$\frac{1}{S}$$, $$S$$, and $$S^{2}$$

Quantity B

$$2S$$


Which of the following double inequalities involving $$\sqrt[3]{0.8}$$ is true?
A college professor took attendance for the first 10 days of a class last semester. The professor noticed that Sarah attended class on 8 of those days, Andrew attended class on 7 of those days, Jeff attended class on 6 of those days, and on only 1 of those days did all three students attend class. On how many of the 10 days did at least two of the three students attend class?

_____days

Quantity A

The remainder when 754,975,376 is divided by 4

Quantity B

The remainder when 701,864,294 is divided by 4


Evelyn owns two different properties with areas of 1.5 acres and 0.5 acre, respectively. What is the total area, in square feet, of the two properties combined? (1 acre = 4,840 square yards, 1 yard = 3 feet)

_____ square feet
List K consists of 9 positive integers. In list K, the range of the integers is 20, the mode of the integers is 3, and the median of the integers is 7.

Quantity A

The average (arithmetic mean) of the integers in list K

Quantity B

13


A traveler purchased a gift item at a store in Country D, paying only the cost of the item with no taxes or other charges. The traveler paid with 100 United States dollars and received back the correct change in the amount of 203 units of Country D's currency, based on the currency exchange rate that day.

Which of the following statements individually provide(s) sufficient additional information to determine the cost of the item, in United States dollars?

Indicate all such statements.
The median of the numbers in a list of consecutive positive multiples of 1.2 is 25.8. What is the greatest possible number in the list?
If a < b, which of the following must be true?
The probability that each toss of a certain coin will result in heads is 0.5. If the probability that n tosses of the coin will each result in heads is greater than 0.0002, what is the greatest possible value of n?
x, y, and z are negative numbers.

Quantity A

x+y+z

Quantity B

$$\frac{1}{x+y+z}$$


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