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MCQs

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$\begin{tabular}{|c|c|c|c|} \hline & Beverage purchased & Beverage not purchased & Total \\ \hline Gasoline purchased & 60 & 25 & 85 \\ \hline Gasoline not purchased & 35 & 15 & 50 \\ \hline Total & 90 & 40 & 135 \\ \hline \end{tabular}$ On Tuesday, a local gas station had 135 customers. The table above summarizes whether or not the customers on Tuesday purchased gasoline, a beverage, both, or neither. Based on the data in the table, what is the probability that a gas station customer selected at random on that day did not purchase gasoline?

$\begin{tabular}{|c|} \hline
15 \\ \hline
2.40 \\ \hline
35 \\ \hline
3
MathProblem-Solving and Data Analysis
$\begin{tabular}{|c|c|} \hline Color & Number \\ \hline Red & 8 \\ \hline Blue & 10 \\ \hline Green & 22 \\ \hline Total & 40 \\ \hline \end{tabular}$ The table shows the number of different colors of marbles in a bag. If a marble is chosen at random from the bag, what is the probability that the marble will be blue?

$\begin{tabular}{|c|c|} \hline
MathProblem-Solving and Data Analysis
The table above shows the distribution of ages of the 20 students enrolled in a college class. Which of the following gives the correct order of the mean, median, and mode of the ages?
MathProblem-Solving and Data Analysis
Residents of a town were surveyed to determine whether they are satisfied with the concession stand at the local park. A random sample of 200 residents was selected. All 200 responded, and 87% said they are satisfied. Based on this information, which of the following statements must be true?

I. Of all the town residents, 87% would say they are satisfied with the concession stand at the local park.

II. If another random sample of 200 residents were surveyed, 87% would say they are satisfied.
MathProblem-Solving and Data Analysis
A sample of 40 fourth-grade students was selected at random from a certain school. The 40 students completed a survey about the morning announcements, and 32 thought the announcements were helpful. Which of the following is the largest population to which the results of the survey can be applied?
MathProblem-Solving and Data Analysis
What is the median of the seven data values shown?
MathProblem-Solving and Data Analysis
The population density of Iceland, in people per square kilometer of land area, increased from 2.5 in 1990 to 3.3 in 2014. During this time period, the land area of Iceland was 100,250 square kilometers. By how many people did Iceland's population increase from 1990 to 2014?
MathProblem-Solving and Data Analysis
The International Space Station orbits Earth at an average speed of 4.76 miles per second. What is the space station's average speed in miles per hour?
MathProblem-Solving and Data Analysis
$\begin{tabular}{|c|c|c|c|} \multicolumn{4}{c}{Prices of 14 Different Cars} \\ \hline Type of car & \begin{tabular}{c} Priced at no more \\ than \$25,000 \\ \end{tabular} & \begin{tabular}{c} Priced greater \\ than \$25,000 \\ \end{tabular} &
\begin{tabular}{c} Total \\ than \$25,000 \\ \end{tabular} \\ \hline Nonhybrid & 5 & 3 & 8 \\ \hline Hybrid & 2 & 4 & 6 \\ \hline Total & 7 & 7 & 14 \\ \hline \end{tabular}$

The table above shows information about 14 cars listed for sale on an auto dealership's website. If one of the cars listed for sale is selected at random, what is the probability that the car selected will be a hybrid car priced at no more than \$25,000 ?

$\begin{tabular}{c} **1** \\ \hline
**
MathProblem-Solving and Data Analysis
The $\rho$-term is the $\rho$-term. The $\rho$-term is the $\rho$-term.
MathProblem-Solving and Data Analysis
There are 55 students in Spanish club. A sample of the Spanish club students was selected at random and asked whether they intend to enroll in a new study program. Of those surveyed, 20% responded that they intend to enroll in the study program. Based on this survey, which of the following is the best estimate of the total number of Spanish club students who intend to enroll in the study program?
MathProblem-Solving and Data Analysis
Each face of a fair 14-sided die is labeled with a number from 1 through 14, with a different number appearing on each face. If the die is rolled one time, what is the probability of rolling a 2?
MathProblem-Solving and Data Analysis
$\begin{tabular}{|l|c|c|c|} \hline & & **Does not talk** & \\
**Texting** & **Talks on cell** & **on cell phone** & \\
**behavior** & **phone daily** & **daily** & **Total** \\ \hline
**Light** & 110 & 146 & 256 \\ \hline
**Medium** & 139 & 164 & 303 \\ \hline
**Heavy** & 166 & 74 & 240 \\ \hline
**Total** & 415 & 384 & 799 \\ \hline \end{tabular}$ In a study of cell phone use, 799 randomly selected US teens were asked how often they talked on a cell phone and about their texting behavior. The data are summarized in the table above. Based on the data from the study, an estimate of the percent of US teens who are heavy texters is 30% and the associated margin of error is 3%. Which of the following is a correct statement based on the given margin of error?
MathProblem-Solving and Data Analysis
Triangle $FGH$ is similar to triangle $JKL$, where angle $F$ corresponds to angle $J$ and angles $\mathcal{G}$ and $K$ are right angles. If $\sin(F)=\frac{308}{317}$, what is the value of $\sin(J)$?
MathGeometry and Trigonometry
A cube has a surface area of 54 square meters. What is the volume, in cubic meters, of the cube?
MathGeometry and Trigonometry
A circle in the $xy$-plane has its center at $(-4,5)$ and the point $(-8,8)$ lies on the circle. Which equation represents this circle?
MathGeometry and Trigonometry
What is the perimeter, in inches, of a rectangle with a length of 4 inches and a width of 9 inches?
MathGeometry and Trigonometry
A right triangle has sides of length $2\sqrt{2}$, $6\sqrt{2}$, and $sqrt{80}$ units. What is the area of the triangle, in square units?
MathGeometry and Trigonometry
A cylindrical can containing pieces of fruit is filled to the top with syrup before being sealed. The base of the can has an area of 75 cm$^{2}$, and the height of the can is 10 cm. If 110 cm$^{3}$ of syrup is needed to fill the can to the top, which of the following is closest to the total volume of the pieces of fruit in the can?
MathGeometry and Trigonometry
In a right triangle, the measure of one of the acute angles is 51deg. What is the measure, in degrees, of the other acute angle?
MathGeometry and Trigonometry
Right triangles $LMN$ and $PQR$ are similar, where $L$ and $M$ correspond to $P$ and $Q$, respectively. Angle $M$ has a measure of 53${}^{\,\ast}$. What is the measure of angle $Q$?
MathGeometry and Trigonometry
A circle in the $xy$-plane has equation $(x+3)^{2}+(y-1)^{2}=25$. Which of the following points does NOT lie in the interior of the circle?
MathGeometry and Trigonometry
What is the area of a rectangle with a length of **4** centimeters (cm) and a width of 2 cm?
MathGeometry and Trigonometry
In a right triangle, the tangent of one of the two acute angles is $\sqrt{3}$. What is the tangent of the other acute angle?

$$\begin{array}{c}\mbox{
MathGeometry and Trigonometry
Circle $A$ has a radius of $3n$ and circle $B$ has a radius of $129n$, where $n$ is a positive constant. The area of circle $B$ is how many times the area of circle $A$?
MathGeometry and Trigonometry
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