Point O is the center of the circle above, and the measure of is
. If the length of
is 18, what is the length of arc
?
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The scatterplot shows the relationship between two variables, and . A line of best fit for the data is also shown.
- The scatterplot has 11 data points.
- The data points are in a linear pattern trending down from left to right.
- A line of best fit is shown:
- The line of best fit slants down from left to right.
- 6 points are above the line of best fit.
- 5 points are below the line of best fit.
- The line of best fit goes through the following approximate coordinates:
- (28 comma 6)
- (33 comma 1.5)
At , which of the following is closest to the y-value predicted by the line of best fit?
| Country | 2012 | 2013 |
|---|---|---|
| France | 83.0 | 84.7 |
| United States | 66.7 | 69.8 |
| Spain | 57.5 | 60.7 |
| China | 57.7 | 55.7 |
| Italy | 46.4 | 47.7 |
| Turkey | 35.7 | 37.8 |
| Germany | 30.4 | 31.5 |
| United Kingdom | 26.3 | 32.2 |
| Russia | 24.7 | 28.4 |
The table above shows the number of international tourist arrivals, rounded to the nearest tenth of a million, to the top nine tourist destinations in both 2012 and 2013. Based on the information given in the table, how much greater, in millions, was the median number of international tourist arrivals to the top nine tourist destinations in 2013 than the median number in 2012, to the nearest tenth of a million?
Of the 8 planets in our solar system, 4 are considered rocky. If a student randomly selects 1 of those 8 planets as a topic for a report, what is the probability that the selected planet will be rocky?
According to the graph, what is the cost for each additional mile traveled, in dollars, of a cab ride?
In the xy-plane, line k intersects the y-axis at the point and passes through the point
. If the point
lies on line k, what is the value of w ?
If , which of the following expressions is equivalent to
?
The graph of this equation in the xy-plane is a line. What is the best interpretation of the x-intercept in this context?
Which choice best describes data from the graph that support the student’s conclusion?
Which of the following is an equation of the graph shown in the xy-plane above?
The dot plots represent the distributions of values in data sets A and B.
- For the dot plot titled Data Set A:
- The number line ranges from 10 to 16 in increments of 1.
- The data for the dot plot are as follows:
- 10: 1 dot
- 11: 4 dots
- 12: 2 dots
- 13: 3 dots
- 14: 2 dots
- 15: 4 dots
- 16: 1 dot
- For the dot plot titled Data Set B:
- The number line ranges from 10 to 16 in increments of 1.
- The data for the dot plot are as follows:
- 10: 2 dots
- 11: 4 dots
- 12: 2 dots
- 13: 1 dot
- 14: 2 dots
- 15: 4 dots
- 16: 2 dots
Which of the following statements must be true?
- The median of data set A is equal to the median of data set B.
- The standard deviation of data set A is equal to the standard deviation of data set B.
In the xy-plane, what is the y-coordinate of the point of intersection of the graphs of and
?
A graphic designer is creating a logo for a company. The logo is shown in the figure above. The logo is in the shape of a trapezoid and consists of three congruent equilateral triangles. If the perimeter of the logo is 20 centimeters, what is the combined area of the shaded regions, in square centimeters, of the logo?
The scatterplot shows the relationship between two variables, and . A line of best fit is also shown.
- The scatterplot has 10 data points.
- The data points are in a linear pattern trending up from left to right.
- A line of best fit is shown.
- The line of best fit slants up from left to right.
- 1 point is touching the line of best fit.
- 5 points are above the line of best fit.
- 4 points are below the line of best fit.
- The line of best fit passes through the following approximate coordinates:
- (0 comma 3)
- (3 comma 8)
- (7 comma 15)
Which of the following equations best represents the line of best fit shown?
Rectangle A has length 15 and width w. Rectangle B has length 20 and the same length-to-width ratio as rectangle A. What is the width of rectangle B in terms of w ?
In the equation above, what is the value of x ?
Triangles ABC and DEF are shown above. Which of the following is equal to the ratio ?
Which of the following graphs in the xy-plane could be used to solve the system of equations above?
- Moving from left to right:
- The curve passes from quadrant 2 to quadrant 1.
- In quadrant 2, the curve trends up gradually to point (0 comma 2).
- In quadrant 1, the curve trends up sharply.
- The curve passes through the following points:
- (negative 1 comma 1)
- (0 comma 2)
- (2 comma 8)
What is the y-intercept of the graph shown?
- One angle is a right angle.
- The measure of a second angle is x°.
- The length of the leg opposite the angle with measure x° is 26.
- The length of the leg adjacent to the angle with measure x° is 7.
- A note indicates the figure is not drawn to scale.
In the triangle shown, what is the value of ?
The scatterplot above shows data for ten charities along with the line of best fit. For the charity with the greatest percent of total expenses spent on programs, which of the following is closest to the difference of the actual percent and the percent predicted by the line of best fit?
Which choice most effectively uses the data in the graph to complete the example?
In the equation above, t is a constant. If the equation has no real solutions, which of the following could be the value of t ?
- The parabola opens upward.
- The vertex is at point (4 comma 0).
- The parabola passes through the following points:
- (3 comma 5)
- (4 comma 0)
- (5 comma 5)
What is the x-intercept of the graph shown?
Which of the following is equivalent to ?