Mini Exam 32 — Timed Mini Exams

Questions in this quiz (10)

1. A certain capsize screening value $$C$$ for a sailboat is given by $$C=\frac{6B}{\sqrt[4]{D}},$$ where $$B$$ is the beam, in feet, and $$D$$ is the displacement, in pounds. Which of the following equations correctly expresses $$D$$ in terms of $$C$$ and $$B$$?

   • $$D=\frac{(6B)^4}{C}$$
   • $$D=\frac{C^4}{6B}$$
   • $$D=\left(\frac{6B}{C}\right)^4$$
   • $$D=\left(\frac{C}{6B}\right)^4$$

2. Levi and Marissa each have stamp collections. The number of stamps in Levi's collection is $$250\%$$ of the number of stamps in Marissa's collection. If there are $$600$$ stamps in Marissa's collection, how many stamps are in Levi's collection?

   • $$150$$
   • $$600$$
   • $$1200$$
   • $$1500$$

3. Each face of a fair $$10$$-sided die is labeled with a number from $$1$$ through $$10$$, with a different number on each face. If the die is rolled one time, what is the probability of rolling a $$3$$?

   • $$\frac{1}{10}$$
   • $$\frac{2}{10}$$
   • $$\frac{9}{10}$$
   • $$\frac{10}{10}$$

4. A certain pigeon species can fly at an average speed of $$18$$ meters per second when in continuous flight. At this rate, how many meters would this pigeon species fly in $$5$$ seconds?

   • $$90$$
   • $$72$$
   • $$36$$
   • $$45$$

5. A printer produces posters at a constant rate of $$36$$ posters per minute. At what rate, in posters per hour, does the printer produce the posters?

   • 2160

6. $$12,\ 5,\ 19,\ 14,\ 8,\ 7$$The list gives the number of individuals in each of $$6$$ groups of ring-tailed lemurs. What is the range of the numbers of individuals for the $$6$$ groups of ring-tailed lemurs?

   • 14

7. A research manager selected $$2$$ random samples of ovens of a certain type to estimate the average amount of time this type of oven takes to preheat to $$350^\circ F$$. The first sample had an average of $$14.8$$ minutes and a margin of error of $$0.8$$ minutes. The second sample had an average of $$15.5$$ minutes and a margin of error of $$2.5$$ minutes. Assuming the margin of error is calculated the same way, which of the following best explains why the first sample obtained a smaller margin of error than the second sample?

   • The first sample contained more ovens than the second sample.
   • The first sample contained fewer ovens than the second sample.
   • The first sample took more time on average to preheat to $$350^\circ F$$ than the second sample.
   • The first sample took less time on average to preheat to $$350^\circ F$$ than the second sample.

8. In the figure shown, line $$q$$ is parallel to line $$r$$, and both lines are intersected by line $$s$$. If $$y=2x+16$$, what is the value of $$x$$?

   • $$28$$
   • $$37$$
   • $$45$$
   • $$53$$

9. A rectangle has a length that is $$12$$ times its width. The function $$A(x)=(12x)(x)$$ represents this situation, where $$A(x)$$ is the area, in square feet, of the rectangle and $$A(x)$$ > $$0$$. Which of the following is the best interpretation of $$12x$$ in this context?

   • The width of the rectangle, in feet
   • The length of the rectangle, in feet
   • The area of the rectangle, in square feet
   • The difference between the length and the width of the rectangle, in feet

10. Triangles $$ABC$$ and $$DEF$$ are similar, where $$\overline{AB}$$ corresponds to $$\overline{DE}$$. Triangle $$ABC$$ has a perimeter of $$90$$, and triangle $$DEF$$ has a perimeter of $$180$$. The length of $$\overline{AB}$$ is $$4$$. What is the length of $$\overline{DE}$$?

    • $$1$$
    • $$2$$
    • $$8$$
    • $$16$$