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1. The U.S. Centers for Disease Control recommends that adults engage in 2.5 hours per week of vigorous exercise. A local health society conducts a survey to see if people are meeting this goal. They ask 100 people with gym memberships how many minutes of exercise they engage in per week. After analyzing the data, the health society finds that the average respondent exercises 142 minutes per week, but the margin of error was approximately 36 minutes. The society wants to lower this margin of error. Using which of the following samples instead would do so?
2. As a general rule, businesses strive to maximize revenue and minimize expenses. An office supply company decides to try to cut expenses by utilizing the most cost-effective shipping method. The company determines that the cheapest option is to ship boxes of ballpoint pens and mechanical pencils with a total weight of no more than 20 pounds. If each pencil weighs 0.2 ounces and each pen weighs 0.3 ounces, which inequality represents the possible number of ballpoint pens, b, and mechanical pencils, m, the company could ship in a box and be as cost-effective as possible?
Where will line Q shown in the graph intersect the x-axis?
4. The function f(x) is defined as f(x) = 2g(x), where g(x) = x + 5. What is the value of f(3)?
5. A printing company uses a color laser printer that can print 18 pages per minute (ppm) when printing on thick cardstock paper. One of the company's best sellers on the Internet is business cards, which are sold in boxes of 225 cards. The cards are printed 10 per page, then cut and boxed. If a real estate company has 12 full-time agents and orders two boxes of cards per agent, how many minutes should it take to print the cards, assuming the printer runs continuously?
6. If 0.002 ≤ x ≤ 0.2 and 5 ≤ y ≤ 25, what is the maximum value of ?
7. Following a study of children in the United States under three years old, the American Academy of Pediatrics stated that there is a positive correlation between the amount of time spent watching television and the likelihood of developing an attention deficit disorder. Which of the following is an appropriate conclusion to draw from this statement?
A bicyclist is training for the Liège-Bastogne-Liège, one of Europe's oldest road bicycle races. The line graph above shows the number of miles she biked each week for eight weeks. According to the graph, what was the greatest change (in absolute value) in the weekly number of miles she biked between two consecutive weeks?
9. If a line that passes through the coordinates (a - 1, 2a) and (a, 6) has a slope of 5, what is the value of a?
10. An occupational health organization published a study showing an increase in the number of injuries that resulted from elderly people falling in the bathtub. In response to this increase, a medical supply company decided to drop its price on bathtub lifts from $450 to $375, hoping to still break even on the lifts. The company breaks even when its total revenue (income from selling n bathtub lifts) is equal to its total cost of producing the lifts. If the cost C, in dollars, of producing the lifts is C = 225n + 3,150, how many more of the lifts does the company need to sell at the new price to break even than at the old price?
11. A zoo is building a penguin exhibit. It will consist of an underwater area and a land area. The land area is made of thick sheets of ice. An outline of the total space covered by the ice is shown below. A pipe 2 feet in diameter runs the full length of the exhibit under the ice. A substance known as ice-cold glycol continuously runs through the pipe to keep the ice frozen.
About how many cubic feet of water are needed to create the ice portion of the exhibit?
12. A zoo is building a penguin exhibit. It will consist of an underwater area and a land area. The land area is made of thick sheets of ice. An outline of the total space covered by the ice is shown below. A pipe 2 feet in diameter runs the full length of the exhibit under the ice. A substance known as ice-cold glycol continuously runs through the pipe to keep the ice frozen.
The zoo is planning to hire a company to fill the space with water. The company plans to use two 4-inch hoses that can each pump 60 gallons of water per minute. About how long should it take to fill the space? (There are 7.48 gallons of water in 1 cubic foot of ice.)
13. Which of the following quadratic equations has no solution?
14. Three airplanes depart from three different airports at 8:30 AM, all travelling to Chicago O'Hare International Airport (ORD). The distances the planes must travel are recorded in the following table.
The plane traveling from Boston traveled at an average speed of 360 mph. The plane traveling from Kansas City arrived at 10:34 AM. How many minutes before the plane from Boston arrived did the plane from Kansas City arrive?
15. Three airplanes depart from three different airports at 8:30 AM, all travelling to Chicago O'Hare International Airport (ORD). The distances the planes must travel are recorded in the following table.
For the first of the trip, the plane from Miami flew through heavy winds and dense cloud cover at an average speed of 200 mph. For the remaining portion of the trip, the weather was ideal, and the plane flew at an average speed of 450 mph. Due to a backlog of planes at ORD, it was forced to circle overhead in a holding pattern for 25 minutes before landing. At what time did the plane from Miami land in Chicago?
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