Mini Exam 54 — Timed Mini Exams

Questions in this quiz (10)

1. The table represents how many people are infected by Viruses C and D in two countries.The probability of catching virus C in country A is how much greater than the probability of catching virus C in country B?

   • $$\frac1{24}$$
   • $$\frac3{23}$$
   • $$\frac5{391}$$
   • $$\frac{39}{245}$$

2. The median salary in company A is $$\$5000$$. However, the mean salary in that company is $$\$7000$$. What is the reason for such a difference between the median salary and the mean salary?

   • Some workers work hard, whereas others do not work at all.
   • Some workers are smart, whereas others just pretend to be.
   • There are few workers that earn much more than the rest.
   • There are few workers that earn much less than the rest.

3. The equation $$P(t)=200(2)^t$$ represents the population growth of bacteria in a petri dish, where $$P(t)$$ is the population of bacteria after $$t$$ minutes. Which statement best describes the relationship between $$P(t)$$ and $$t$$?

   • The relationship is linear since the population increases by $$200$$ bacteria every minute.
   • The relationship is linear since the population increases by $$2$$ every minute.
   • The relationship is exponential since the bacteria doubles every minute.
   • The relationship is exponential since the population increases $$200$$ times every minute.

4. A tutoring service company offers tutoring in $$5$$ subject areas and wants to assess whether students are satisfied with the lessons offered. Which sampling method is most appropriate to estimate the level of students' satisfaction?

   • Selecting $$20$$ students from Math class only.
   • Selecting $$10$$ students from the most expensive course and $$10$$ from the least expensive course.
   • Selecting $$4$$ students randomly from each of $$5$$ subject courses.
   • Creating a website and choosing the first $$20$$ comments.

5. In the right triangle, the hypotenuse is $$20$$ and $$\cos\theta=\frac{\sqrt3}{2}$$. What is the length of $$\overline{AC}$$?

   • 10

6. In the figure, $$\overline{AB}$$ and $$\overline{CD}$$ are parallel, and $$\overline{BC}$$ and $$\overline{AD}$$ intersect at $$E$$. If $$AB=3$$, $$CD=9$$, and $$DE=12$$, what is the length of $$AD$$?

   • 16

7. A circle in the $$xy$$-plane is centered at $$(4,-1)$$. If the point $$(-2,7)$$ lies on the circle, which equation represents the circle?

   • $$(x-4)^2+(y+1)^2=25$$
   • $$(x-4)^2+(y+1)^2=100$$
   • $$(x-4)^2+(y+1)^2=10$$
   • $$(x-4)^2+(y+1)^2=1$$

8. Two circles in the $$xy$$-plane are centered at $$(4,1).$$ The larger circle has radius $$5,$$ and the smaller circle has radius $$3.$$ A shaded region is formed by the part of the area between the two circles that lies below the line $$y=1$$ and to the left of the line $$x=4.$$ What is the area of the shaded region?

   • $$3\pi$$
   • $$4\pi$$
   • $$6\pi$$
   • $$8\pi$$

9. 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?

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

10. The table shows three values of $$x$$ and their corresponding values of $$h(x)$$, where $$h(x)=\frac{f(x)}{x+5}$$ and $$f$$ is a linear function.What is the $$y$$-intercept of the graph of $$y=f(x)$$?

    • $$(0,-270)$$
    • $$(0,-290)$$
    • $$(0,-295)$$
    • $$(0,-300)$$