Mini Exam 57 — Timed Mini Exams

Questions in this quiz (10)

1. Monica is going to conduct a survey about the opinion of citizens of a city on the increase of property taxes. She is planning a sample size of $$50$$ adults. Which survey would likely be the most biased?

   • Monica asks every third person leaving the high school
   • Monica asks every fifth person leaving a local grocery store
   • Monica asks every fourth person leaving a local butcher's
   • Monica asks every second person leaving a local bakery

2. A ramp has height $$1.2$$ feet and makes an angle $$\theta$$ with the ground such that $$\tan\theta=\frac16$$. What is the horizontal length, $$x$$, in feet?

   • $$6$$
   • $$7.2$$
   • $$8.5$$
   • $$8.6$$

3. Triangle $$XYZ$$ is similar to triangle $$ABC$$. If $$\frac{AB}{XY}=\frac{BC}{YZ}=\frac{AC}{XZ}=2$$, what is the measure, in degrees, of angle $$Z$$?

   • 86

4. In a circle with radius $$5$$, $$OB=3$$ is perpendicular to chord $$AC$$. What is the length of chord $$AC$$?

   • 8

5. The table shows the distance and average rate for three parts of a road.The driver completed all three parts in $$22.8$$ minutes. Which value is closest to the average rate, in miles per hour, during the drive?

   • $$1.14$$
   • $$56.67$$
   • $$68.16$$
   • $$85$$

6. The tables represent points through which lines $$m$$ and $$n$$ pass. Line $$m$$:What is the $$x$$-coordinate of the intersection of these two lines?

   • 4

7. Two rent-a-car companies charge a fixed amount and an hourly rate to rent a car. The graph represents the total daily charge by the two companies. Which value is closest to the positive difference between the hourly charges by Rent-a-Car A and Rent-a-Car B?

   • $$11.7$$
   • $$6.7$$
   • $$5$$
   • $$10.5$$

8. $$kx=6+3y$$$$y=9x-7$$In the system of equations, $$k$$ is constant. If the system has no solution, what is the value of $$k$$?

   • 27

9. $$-2y-8x\le6$$$$2x+3y\le9$$If $$(x,y)$$ is a solution to the system of inequalities, find the maximum possible value of $$y$$.

   • $$\frac{2}{5}$$
   • $$\frac{21}{5}$$
   • $$\frac{4}{3}$$
   • $$\frac{10}{3}$$

10. A parabola in the $$xy$$-plane has equation $$x-3y^2-18y-12=0.$$ Which equation shows the $$x$$-intercept of the parabola as a constant or coefficient?

    • $$x=3(y+3)^2-15$$
    • $$x=3y^2+18y+12$$
    • $$y=\sqrt{\frac{x+15}{3}}-3$$
    • $$x+15=3(y+3)^2$$