In the xy-plane, the graph of y=(2x+3)(x-5) crosses the y-axis at the point (0,k). What is the value of k ?
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A, F, M, P, Y
If the 5 letters listed above were randomly ordered, what is the probability that the resulting list would be either in alphabetical order (as shown) or in reverse alphabetical order?
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When positive integer n is divided by 4, the remainder is 2. When n is divided by 3, the remainder is 1. Which of the following statements must be true?
Indicate all such statements.
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In the xy-plane, line k and line p intersect at 90-degree angles. If the slope of line k is $$\frac{1}{2}$$, what is the slope of line p ?
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The figure shows a regular 9-sided polygon inscribed in a circle with center O.
Quantity A:
The perimeter of the regular polygon
Quantity B:3 times the perimeter of triangle OAB
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x > y
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Set S consists of all possible values of the product ab, where a and b are integers such that 0< a< b < 10.
Quantity A:The number of odd integers in S
Quantity B:The number of even integers in S
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n is a positive integer.
Quantity A:The remainder when $$(n+7)^{2}-49$$ is divided by n
Quantity B:1
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$450, $760, $900, $1,000, $1,250, $1,400, $1,750, $2,000
The eight amounts listed are the reported bonuses earned by eight employees during July. Two of the reported amounts are in error: one is $250 greater than the actual amount and one is $250 less than the actual amount.
Quantity A:The standard deviation of the amounts of the eight reported bonuses
Quantity B:The standard deviation of the amounts of the eight actual bonuses
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The median of 5 different positive integers is 12.
Quantity A:
The least possible sum of the 5 integers
Quantity B:
42
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0 < w < x < y < z
The average (arithmetic mean) of w, x, y, and z is less than the median of w, x, y, and z.
Quantity A:z-y
Quantity B:x-w
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If the average (arithmetic mean) price of 3 items is $20 and the average price of 2 other items is $10, what is the average price of all 5 items?
$_____
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Sixty percent of the people who originally auditioned for parts in a musical were excused, and the rest were asked to audition again. Of those who were asked to audition again, 30 percent, or 18 people, were hired. How many people originally auditioned for parts?
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r and n are integers such that r≥4 and n≥4. If (r-3)(n-3)<5, what is the greatest possible value of n ?
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In the xy-plane shown, RS=TW. What is the value of k ?
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The square region above has area 64 and is divided into six nonoverlapping triangular regions. If the area of triangular region A is 8, then the area of which of the following regions CANNOT be found?
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S is the set of all positive 3-digit integers. How many integers in S are multiples of both 7 and 13 ?
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What is the number of Calories from protein in 1 serving of Brand K candy?
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In 1 serving of Brand K candy, the ratio of the number of Calories from carbohydrates to the total number of Calories in the serving is closest to which of the following fractions?
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