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A polling agency recently surveyed 1,000 adults who were selected at random from a large city and asked each of the adults, "Are you satisfied with the quality of air in the city?" Of those surveyed, 78 percent responded that they were satisfied with the quality of air in the city. Based on the results of the survey, which of the following statements must be true?<br/><br/>1. Of all adults in the city, 78 percent are satisfied with the quality of air in the city.<br/><br/>2. If another 1,000 adults selected at random from the city were surveyed, 78 percent of them would report they are satisfied with the quality of air in the city.<br/><br/>3. If 1,000 adults selected at random from a different city were surveyed, 78 percent of them would report they are satisfied with the quality of air in the city.
MathProblem-Solving and Data Analysis
The value of $z$ is **1.13** times **100**. The value of $z$ is what percent greater than **100**?
MathProblem-Solving and Data Analysis
A store received a shipment of 1,000 MP3 players, 4 of which were defective. If an MP3 player is randomly selected from this shipment, what is the probability that it is defective?
MathProblem-Solving and Data Analysis
A psychologist designed and conducted a study to determine whether playing a certain educational game increases middle school students' accuracy in adding fractions. For the study, the psychologist chose a random sample of 35 students from all of the students at one of the middle schools in a large city. The psychologist found that students who played the game showed significant improvement in accuracy when adding fractions. What is the largest group to which the results of the study can be generalized?
MathProblem-Solving and Data Analysis
$\begin{tabular}{|c|c|c|} \hline Food & Protein & Cost \\ \hline<br/>1 large egg & 6 grams & \$0.36 \\ \hline<br/>1 cup of milk & 8 grams & \$0.24 \\ \hline \end{tabular}$<br/><br/>The table above shows the amount of protein in two foods and the cost of each food. Based on the table, what is the ratio of the cost per gram of protein in a large egg to the cost per gram of protein in a cup of milk?
MathProblem-Solving and Data Analysis
The mean amount of time that the 20 employees of a construction company have worked for the company is 6.7 years. After one of the employees leaves the company, the mean amount of time that the remaining employees have worked for the company is reduced to 6.25 years. How many years did the employee who left the company work for the company?
MathProblem-Solving and Data Analysis
A certain forest is 253 acres. To estimate the number of trees in the forest, a ranger randomly selects 5 different 1-acre parcels in the forest and determines the number of trees in each parcel. The numbers of trees in the sample acres are 51, 59, 45, 52, and 73. Based on the mean of the sample, which of the following ranges contains the best estimate for the number of trees in the entire forest?
MathProblem-Solving and Data Analysis
Which of the following speeds is equivalent to 90 kilometers per hour? (1 kilometer = 1,000 meters)
MathProblem-Solving and Data Analysis
A trivia tournament organizer wanted to study the relationship between the number of points a team scores in a trivia round and the number of hours that a team practices each week. For the study, the organizer selected 55 teams at random from all trivia teams in a certain tournament. The table displays the information for the **40** teams in the sample that practiced for at least 3 hours per week.
MathProblem-Solving and Data Analysis
To make a bakery's signature chocolate muffins, a baker needs 2.5 ounces of chocolate for each muffin. How many pounds of chocolate are needed to make 48 signature chocolate muffins? (1 pound = 16 ounces)
MathProblem-Solving and Data Analysis
Data set A: 1, 2, 3, 4, 5, 6, /<br/><br/>Data set B: 1, 1, 2, 2, 3, 3, 4<br/><br/>Which of the following statements correctly compares the means of data set A and data set B?
MathProblem-Solving and Data Analysis
The table below shows the high and low temperatures in Houston, Texas, during a five-day period.<br/><br/>Temperatures in Houston, Texas<br/><br/>(degrees Fahrenheit)<br/><br/>Monday<br/><br/>Tuesday<br/><br/>Wednesday<br/><br/>Thanksday<br/><br/>Friday<br/><br/>High temperature<br/>73<br/>56<br/>62<br/>75<br/>81<br/><br/>Low temperature<br/>49<br/>37<br/>41<br/>54<br/>63<br/><br/>What was the mean low temperature, in degrees Fahrenheit,<br/><br/>during the five-day period?
MathProblem-Solving and Data Analysis
The members of a city council wanted to assess the opinions of all city residents about converting an open field into a dog park. The council surveyed a sample of 500 city residents who own dogs. The survey showed that the majority of those sampled were in favor of the dog park. Which of the following is true about the city council's survey?
MathProblem-Solving and Data Analysis
6, 6, 8, 8, 8, 10, 21<br/><br/>Which of the following lists represents a data set that has the same median as the data set shown?
MathProblem-Solving and Data Analysis
From a population of 50,000 people, 1,000 were chosen at random and surveyed about a proposed piece of legislation. Based on the survey, it is estimated that 35% of people in the population support the legislation, with an associated margin of error of 3%. Based on these results, which of the following is a plausible value for the total number of people in the population who support the proposed legislation?
MathProblem-Solving and Data Analysis
The density of a certain type of wood is 353 kilograms per cubic meter. A sample of this type of wood is in the shape of a cube and has a mass of 345 kilograms. To the nearest hundredth of a meter, what is the length of one edge of this sample?
MathProblem-Solving and Data Analysis
The results of two random samples of votes for a proposition are shown above. The samples were selected from the same population, and the margins of error were calculated using the same method. Which of the following is the most appropriate reason that the margin of error for sample A is greater than the margin of error for sample B?
MathProblem-Solving and Data Analysis
For which of the following data sets is the mean greater than the median?
MathProblem-Solving and Data Analysis
The weight of an object on Venus is approximately 10 of its weight on Earth. The weight of an object on Jupiter is approximately 10 of its weight on Earth. If an object weighs 100 pounds on Earth, approximately how many more pounds does it weigh on Jupiter than it weighs on Venus?
MathProblem-Solving and Data Analysis
The number $k$ is 36% greater than 50. If $k$ is the product of 50 and $r$, what is the value of $r$ ?
MathProblem-Solving and Data Analysis
The table shows the distribution, by location and power capacity (maximum rate of power generation) of the twenty largest wind projects in the United States in 2013. The total power capacity of the nine wind projects located in Texas was 4,952 megawatts (MW), and the total power capacity of the twenty wind projects was 11,037 MW in 2013. The amount of energy produced in one hour at a rate of one megawatt is one megawatt-hour. If each of the nine Texas wind projects in 2013 had operated continuously for 24 hours at the maximum rate of power generation, approximately how many megawatt-hours of energy would the nine projects have produced?
MathProblem-Solving and Data Analysis
An object travels at a constant speed of 12 centimeters per second. At this speed, what is the time, in seconds, that it would take for the object to travel 108 centimeters?
MathProblem-Solving and Data Analysis
Which of the following represents the result of increasing the quantity $x$ by 9%, where $x>0$ ?
MathProblem-Solving and Data Analysis
$\begin{tabular}{|c|c|c|c|c|} \hline Station 1 & Station 2 & Station 3 & Station 4 & Station 5 \\ \hline \$3.699 & \$3.609 & \$3.729 & \$3.679 & \$3.729 \\ \hline \end{tabular}$<br/><br/>In the table above, Melissa recorded the price of one gallon of regular gas from five different local gas stations on the same day. What is the median of the gas prices Melissa recorded?
MathProblem-Solving and Data Analysis
A bag containing 10,000 beads of assorted colors is purchased from a craft store. To estimate the percent of red beads in the bag, a sample of beads is selected at random. The percent of red beads in the bag was estimated to be 15%, with an associated margin of error of 2%. If $r$ is the actual number of red beads in the bag, which of the following is most plausible?
MathProblem-Solving and Data Analysis