The histogram shows the distribution of book prices, in dollars, for the 27 books for sale at a store.

The first bar represents books with prices of less than $straight $ 5$ . The second bar represents books with prices of at least $5 but less than $straight $ 10$ , and so on. In which interval will the median price of books for sale be included when the book that costs at least $straight $ 35$ but less than $straight $ 40$ is sold?

A potter is selling vases. The function gives the total profit p(x) , in dollars, the potter will receive if the vases are sold at a price of x dollars each. The graph of y = p(x) is shown.

What equation represents the relationship between the price of one vase and the profit?

Data set R and data set S are represented in the dot plots shown. The mean for each data set is . Which of the following best describes the relationship between the standard deviation of data set R and the standard deviation of data set S ?

The graph of the line $y equals negative 1 half x plus 3$ in the xy-plane is translated 2 units to the right. What is the y-intercept of the translated line?

For a certain type of aircraft, the ratio of thrust, in newtons, to weight, in newtons, is 27 to 100 . If an aircraft has a weight of 3,730,000 newtons, which of the following is closest to the thrust, in newtons, of the aircraft?

In a tournament for 64 teams, each game is played between two teams. Each team plays one game in the first round. For all rounds, the winning team of each game advances to play a game in the next round, and the losing team is eliminated from the tournament. How many teams remain to play in the fourth round of the tournament?

The box plots above show the distributions of two data sets. Which of the following statements must be true?

$vertical line x plus 3 vertical line equals 0$
Exactly how many solutions does the given equation have?

Crawford County, Iowa, is shaped like a rectangle. The length of the county is 6 miles longer than the width of the county. If A(x) is the area of the county, in square miles, and x is the width, in miles, which equation best models the area of the county?

For the linear function f, f(6) = 4, and the graph of y = f (x) in the xy-plane has a slope of $1 half$ Which equation defines f ?

Henri buys 2 boxes of blue pens and some boxes of black pens, Each box contains 10 pens, and Henri buys a total of 50 pens. The equation 10(x + 2) = 50 represents this situation. Which of the following is the best interpretation of the expression x + 2 in this context?

The table shown summarizes 100 items by type and category. One type item will be selected at random. What is the probability that the selected item will be in category 3 ?

Based on the graph above, in how many of the games played did the soccer team score goals equal to the median number of goals for the 29 games?

The sum of all values across the observations divided by the overall sample size is the mean of the set of observations.
The value of the specified number of observations that divides it into two parts is its median. Therefore, based on the proportion of even or odd observations, it is possible to calculate the median of ungrouped data when the data are arranged in descending or ascending order.
The observational value with the highest frequency is the mode.
Data mean sum of all observations divided by the total number of observations.

Based on the graph above, in how many of the games played did the soccer team score goals equal to the median number of goals for the 29 games?

If y = 3x² + 6x + 2 is graphed in the xy-plane, which of the following characteristics of the graph is displayed as a constant or coefficient in the equation?

A linear equation is a two-variable equation with a line as the graph. A collection of points in the coordinate plane that are all solutions to the equation make up the graph of the linear equation. If every variable has a real value, the equation can be graphed by placing enough points on the graph to identify a pattern, then connecting those points to include all of the points.
Try to include zero as well as both positive and negative numbers when selecting your points. The two locations where the graph crosses the axes can be used if you want to utilize two points to draw your line. The x-intercept and y-intercept of a graph are the points where the axes cross, respectively. The value of x can be determined when y = 0 (x, 0) yields the x-intercept, and similarly, determining the value of y when x = 0 yields the y-intercept (0, y).

If y = 3x² + 6x + 2 is graphed in the xy-plane, which of the following characteristics of the graph is displayed as a constant or coefficient in the equation?

h(x) = −16x² + 100x + 10
The quadratic function above models the height above the ground h, in feet, of a projectile x seconds after it had been launched vertically. If y = h(x) is graphed in the xy-plane, which of the following represents the real-life meaning of the positive x-intercept of the graph?

Quadratic equations typically have two solutions because the solutions are where the parabola intersects the x-axis. The graph will cross twice if the vertex is below the x-axis and the parabola opens up, and twice if the vertex is above the x-axis and the parabola opens down.
Quadratic equation graphing to create a parabola graph, we must first determine the vertex of the given equation. This is possible by using x = -b/2a and y = f(-b/2a). The graph is plotted when the quadratic equation is given in the form f(x) = a(x-h)2 + k, where (h, k) is the vertex of the parabola.

h(x) = −16x² + 100x + 10
The quadratic function above models the height above the ground h, in feet, of a projectile x seconds after it had been launched vertically. If y = h(x) is graphed in the xy-plane, which of the following represents the real-life meaning of the positive x-intercept of the graph?