GRE（QUANTITATIVE）综合模拟试卷21 - 众享搜题网

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An antiques dealer bought c antique chairs for a total of x dollars. The dealer sold each chair for y dollars. (a)Write an algebraic expression for the profit, P, earned from buying and selling the chairs. (b)Write an algebraic expression for the profit per chair.

In the coordinate system below, find the following. (a)Coordinates of point Q (b)Lengths of PQ, QR, and PR (c)Perimeter of △PQR (d)Area of △PQR (e)Slope, y-intercept, and equation of the line passing through points P and R [*]

In the xy-plane, find the following. (a)Slope and y-intercept of the line with equation 2y + x = 6 (b)Equation of the line passing through the point(3,2)with y-intercept 1 (c)The y-intercept of a line with slope 3 that passes through the point(-2,1) (d)The x-intercepts of the graphs in(a),(b), and(c)

For the parabola y = x² -4x-12 in the xy-plane, find the following. (a)The x- intercepts (b)The y-intercept (c)Coordinates of the vertex

For the circle(x- 1)² +(y+ 1)²= 20 in the xy-plane, find the following. (a)Coordinates of the center (b)Radius (c)Area

For each of the following functions, give the domain and a description of the graph y =f(x)in the xy-plane, including its shape, and the x- and y-intercepts. (a)f(x)= -4 (b)f(x)= 100 - 900x (c)f(x)= 5-(x + 20)² (d)f(x)=[*] (e)f(x)= x+｜x｜

What is the sum of the measures of the interior angles of a decagon(10-sided polygon)?

If the decagon in exercise 4 is regular, what is the measure of each interior angle?

The lengths of two sides of an isosceles triangle are 15 and 22, respectively. What are the possible values of the perimeter?

Triangles PQR and XYZ are similar. If PQ = 6, PR = 4, and XY = 9, what is the length of side XZ?

Six hundred applicants for several post office jobs were rated on a scale from 1 to 50 points. The ratings had a mean of 32.5 points and a standard deviation of 7.1 points. How many standard deviations above or below the mean is a rating of 48 points? A rating of 30 points? A rating of 20 points?

Suppose that a computer password consists of four characters such that the first character is one of the 10 digits from 0 to 9 and each of the next 3 characters is any one of the uppercase letters from the 26 letters of the English alphabet. How many different passwords are possible?

How many different five-digit positive integers can be formed using the digits 1, 2, 3,4, 5,6, and 7 if none of the digits can occur more than once in the integer?

Suppose you want to select a 3-person committee from a group of 9 students. How many ways are there to do this?

Consider an experiment with events A, B, and C for which P(A)= 0.23, P(B)= 0.40, and P(C)= 0.85. Suppose that events A and B are mutually exclusive and events B and C are independent. What are the probabilities P(A or B)and P(B or C)?

Suppose that there is a 6-sided die that is weighted in such a way that each time the die is rolled, the probabilities of rolling any of the numbers from 1 to 5 are all equal, but the probability of rolling a 6 is twice the probability of rolling a 1. When you roll the die once, the 6 outcomes are not equally likely. What are the probabilities of the 6 outcomes?

Suppose that you roll the weighted 6-sided die from example 4.4.5 twice. What is the probability that the first roll will be an odd number and the second roll will be an even number?

A box contains 5 orange disks, 4 red disks, and 1 blue disk. You are to select two disks at random and without replacement from the box. What is the probability that the first disk you select will be red and the second disk you select will be orange?

The daily temperatures, in degrees Fahrenheit, for 10 days in May were 61, 62, 65,65, 65, 68, 74, 74, 75, and 77. (a)Find the mean, median, mode, and range of the temperatures. (b)If each day had been 7 degrees warmer, what would have been the mean, median, mode, and range of those 10 temperatures?

The numbers of passengers on 9 airline flights were 22, 33, 21, 28,22, 31,44, 50, and 19. The standard deviation of these 9 numbers is approximately equal to 10.2. (a)Find the mean, median, mode, range, and interquartile range of the 9 numbers. (b)If each flight had had 3 times as many passengers, what would have been the mean, median, mode, range, interquartile range, and standard deviation of the 9 numbers? (c)If each flight had had 2 fewer passengers, what would have been the interquartile range and standard deviation of the 9 numbers?

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