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1. What is the y-coordinate of the solution to the system of equations shown above?
The scatterplot above shows data collected from 10 major league baseball players comparing the average weekly time each one spent in batting practice and the number of home runs he hit in a single season. The line of best fit for the data is also shown. What does the slope of the line represent in this context?
Where will the line shown in the graph above intersect the x-axis?
4. The function f(x) is defined as f(x) = -3g(x), where g(x) = x + 2. What is the value of f(5)?
5. Sara is grocery shopping. She needs laundry detergent, which is on sale for 30% off its regular price of $8.00. She also needs dog food, which she can buy at three cans for $4.00. Which of the following represents the total cost, before tax, if Sara buys x bottles of laundry detergent and 12 cans of dog food?
The graph shows the average cost of back surgery followed by a hospital stay in the United States. The hospital charges for the surgery itself plus all the costs associated with recovery care for each night the patient remains in the hospital. Based on the graph, what is the average cost per night spent in the hospital?
The figure above represents a click-through rate curve, which shows the relationship between a search result position in a list of Internet search results and the number of people who clicked on advertisements on that result's page. Which of the following regression types would be the best model for this data?
8. Kudzu is a vine-like plant that grows indigenously in Asia. It was brought over to the United States in the early 20th century to help combat soil erosion. As can often happen when foreign species are introduced into a non-native habitat, kudzu growth exploded and it became invasive. In one area of Virginia, kudzu covered approximately 3,200 acres of a farmer's cropland, so he tried a new herbicide. After two weeks of use, 2,800 acres of the farmer's cropland were free of the kudzu. Based on these results, and assuming the same general conditions, how many of the 30,000 acres of kudzu-infested cropland in that region would still be covered if all the farmers in the entire region had used the herbicide?
9. Several values for the functions g(x) and h(x) are shown in the table. What is the value of g(h(3))?
10. Mae-Ling made 15 shots during a basketball game. Some were 3-pointers and others were worth 2 points each. If s shots were 3-pointers, which expression represents her total score?
11. Crude oil is sold by the barrel, which refers to both the physical container and a unit of measure, abbreviated as bbl. One barrel holds 42 gallons and, consequently, 1 bbl = 42 gal. An oil company is filling an order for 2,500 barrels. The machine the company uses to fill the barrels pumps at a rate of 37.5 gallons per minute. If the oil company has 8 machines working simultaneously, how long will it take to fill all the barrels in the order?
12. Company A and Company B are selling two similar toys. The sales figures for each toy are recorded in the table above. The marketing department at Company A predicts that its monthly sales for this particular toy will continue to be higher than Company B's through the end of the year. Based on the data in the table, and assuming that each company sustains the pattern of growth the data suggests, which company will sell more of this toy in December of that year and how much more?
Which symbol correctly completes the inequality whose solution is shown above?
14. A student is drawing the human skeleton to scale for a school assignment. The assignment permits the student to omit all bones under a certain size because they would be too small to draw. The longest bone in the human body is the femur, or thighbone, with an average length of 19.9 inches. The tenth longest bone is the sternum, or breastbone, with an average length of 6.7 inches.
If the scale factor of the drawing is one-eighth, about how long in inches should the student draw the femur?
15. A student is drawing the human skeleton to scale for a school assignment. The assignment permits the student to omit all bones under a certain size because they would be too small to draw. The longest bone in the human body is the femur, or thighbone, with an average length of 19.9 inches. The tenth longest bone is the sternum, or breastbone, with an average length of 6.7 inches.
The student draws the femur, but then realizes she drew it too long, at 3.5 inches. She doesn't want to erase and start over, so she decides she will adjust the scale factor to match her current drawing instead. Based on the new scale factor, about how long in inches should she draw the sternum?
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