Mini Exam 60 — Timed Mini Exams

Questions in this quiz (10)

1. The table represents the results of a survey of a $$150$$-person group conducted in a city about their preferred sport. Which of the following can be inferred about the entire population based on the data collected?

   • Football is the most popular kind of sport in this city
   • Fewer than $$20$$ people prefer tennis in the city
   • The number of people who prefer football is most likely at least three times more than the number of people who prefer tennis
   • The number of people who prefer football is more than the number of people who prefer baseball

2. In triangle $$ABC$$, $$\angle ADE$$ is a right angle. If $$\cos(\angle ACB)=\frac25$$ and the length of segment $$DE$$ is $$6$$, what is the length of segment $$AE$$?

   • 15

3. In the figure, $$O$$ is the center of the circle. What is the value of $$x$$?

   • 55

4. A $$40$$-year-old man has three daughters ages $$6$$, $$3$$, and $$1$$. In how many years will the combined ages of his daughters equal $$80\%$$ of his age?

   • 10

5. The scatterplot shows the relationship between two variables, $$x$$ and $$y$$. A line of best fit is also shown. Which value is closest to the slope of this line of best fit?

   • $$-3.3$$
   • $$-1.1$$
   • $$1.1$$
   • $$3.3$$

6. Line $$m$$ has a slope of $$-3$$ and an $$x$$-intercept of $$12$$. What is the $$y$$-intercept of line $$m$$?

   • 36

7. Line $$m$$ has a slope of $$\frac35$$ and passes through the point $$(2,3)$$. If line $$l$$ is perpendicular to line $$m$$ and passes through the same point $$(2,3)$$, which equation could be the equation of line $$l$$?

   • $$y=-\frac53x+3$$
   • $$y=\frac53x+\frac{19}{3}$$
   • $$y=-\frac53x+\frac{19}{3}$$
   • $$y=\frac53x-\frac13$$

8. The height of an airplane, $$h$$, in feet, as it descends can be modeled by $$h=3000-500t,$$ where $$t$$ is the number of minutes passed. Based on the model, how does the height of the airplane change each minute?

   • Increases by $$3000$$ feet
   • Increases by $$500$$ feet
   • Decreases by $$3000$$ feet
   • Decreases by $$500$$ feet

9. The net profit for sales of a product equals the difference between revenue from sales and the cost to produce and sell the product. If a particular earphone sells for $$\$67$$, and the cost for making and selling $$n$$ earphones is $$24n+9000$$, which equation expresses the net profit, $$P$$, in dollars, from making and selling $$n$$ earphones?

   • $$P=43n-9000$$
   • $$P=43n+9000$$
   • $$P=-43n+9000$$
   • $$P=91n-9000$$

10. The sum of three numbers is $$1760$$. One of the numbers, $$x$$, is $$20\%$$ more than the sum of the other two numbers. What is the value of $$x$$?

    • $$300$$
    • $$500$$
    • $$960$$
    • $$800$$