Weighted Averages — Cumulative exam Answers

Kyla measured the weight of a bunch of bananas as 1,100 grams using the scale.

The student government wants to determine the theme for the eighth-grade dance. Which group would it be best to take a sample from?

A researcher wants to survey people from different age groups to analyze voting patterns. Which type of survey will best accomplish this goal?

How many 2-letter combinations can be created from the distinct letters in the word “mathematician”? Assume that the order of the letters does not matter.

The manager of a grocery store reports that there is a 12 percent chance that a customer buys apples during a shopping trip, a 5 percent chance that a customer buy apples and carrots, and a 17 percent chance that a customer buys apples or carrots.What is the probability of a customer buying carrots?

The frequency table shows a set of data collected by a doctor for adult patients who were diagnosed with a strain of influenza. Which dot plot could represent the same data as the frequency table?

A town’s athletic league contains 18 baseball teams. The board members of the league want to survey adults attending games to determine if they believe the athletes are showing good sportsmanship. The board members attended one game and surveyed an equal number of adults supporting each of the two teams. Which best explains the validity of the results?

An employer asks the survey question “How much money do you spend on gasoline per week to get to work?” of her employees that drive to work. Which best describes why she chose to only ask the employees that drive to work rather than all of her employees?

Out of a population of 700 students, 120 were asked by a random sampling to choose the green vegetable they would like to have served in the cafeteria. Their responses are shown in the table below.Cafeteria ChoicesGreen VegetableNumber of Studentspeas34green beans27broccoli23zucchini18brussels sprouts18Using proportional reasoning, about how many students out of the 700 would you expect to request broccoli to be served?

There are 5 customers currently present in a coffee shop. Three of the customers are waiting in line at the front register. How many different lines of customers are possible?

The scale drawing below shows an enlargement by a scale factor of 2. What is the missing side length in the original trapezoid?

A high school is hosting a blood drive. The sign-up sheet has 5 slots available for Mr. Bentley’s class and 6 slots available for Ms. Curren’s class. If there are 21 students in Mr. Bentley’s class and 23 students in Ms. Curren’s class, which expression represents the number of possible groups of students that can fill the 11 available slots?

Yolanda wanted to see if there was a connection between red hair and green eyes. She observed people walking past her on the street and noted their hair and eye color.Red Hair Green eyes: 18 Eye color other than green: 29Hair Color Other Than Red Green eyes: 114 Eye color other than green: 650Consider the relative frequency table.

Jasmine created this spinner to predict whether a randomly selected student in her school will be traveling during the upcoming holiday break.Is the Student Traveling?Jasmine’s spinner is designed to reflect data she gathered by surveying 36 students in her gym class. How many of the students Jasmine surveyed indicated they would be traveling during the holiday break?

Keisha has a bag that contains one red marble (r), one yellow marble (y), one green marble (g), and one orange marble (o). She makes the table below to show the different ways that she can choose two marbles—by first choosing one marble, replacing it, and then choosing another marble.What outcome is missing from Keisha’s table?

Over the past year, Becky has enjoyed 7 of the 9 movies recommended by her local newspaper. She wants to design a spinner she can use to simulate this situation and predict the probability that she will enjoy each of the next 5 movies the paper recommends.How should Becky divide her spinner to best simulate this situation?

Garth is packing boxes with books. The list shows how many books are in each of 10 boxes.6, 14, 6, 18, 9, 9, 12, 10, 11, 15 Which statement is true about the number of books packed to a box?

The distance between the elementary school and the middle school is 4 miles. On the map, the two locations are inch apart. What is the scale of the map?

The figure on the grid is the result of enlarging a rectangle by a scale factor of 1.5.Which graph shows the original rectangle?

At Lawson Middle School, Mr. Hernandez asked 90 randomly selected students from each grade level for their favorite subject, and 28 chose social studies as their favorite. He used this data to draw the inference that out of the 250 middle school students, about 20% prefer social studies. Did he make a reasonable inference?