Cumulative Exam — Cumulative exam Answers

There are 14 dogs in a particular class at a dog show. Blue, red, yellow, and white ribbons will be awarded to the first through fourth place finishers, respectively. In how many different ways can the ribbons be awarded?

After surveying students in her homeroom, Katie decided to use a number cube to predict the probability that a randomly chosen student in her school planned to stay after school today for extracurricular activities. In Katie’s simulation, a roll of 1 represents staying after school, while rolls of 2, 3, 4, 5, or 6 represent leaving school at the end of classes.According to Katie’s model, what is the probability that three randomly chosen students will all stay after school for extracurricular activities today?

Which survey is most likely affected by bias?

Fifty-five percent of the members of the junior varsity swim team wear glasses. Of the team members who do not wear glasses, 30 percent of them are in the 10th grade.To the nearest whole percent, what is the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade?

The table shows the maze-completion times, in seconds, of two sets of mice in an experiment. Which statement is true about the variability of the group times?

People at the state fair were surveyed about which type of lemonade they preferred. The results are shown below.Pink lemonade: 156 males, 72 femalesYellow lemonade: 104 males, 48 females

Heston Wagons reported in June that 20 out of 500 wagons failed inspection. In July, they reported that 25 out of 625 wagons failed inspection. Which proportion can be used to represent the wagon failures?

The relative frequency table shows the results of a survey in which parents were asked how much time their children spend playing outside and how much time they spend using electronics.Given that a child spends at least 1 hour per day outside, what is the probability, rounded to the nearest hundredth if necessary, that the child spends less than 1 hour per day on electronics?

The box plot compares Marta’s and Ani’s diving scores in the first several meets of the season.Based on the data in the box plots, what is the best evidence to show which diver had greater overall success during the meets so far this season?

Priya is playing a game where she earns online badges for scoring higher than the mean score on a level. After the tenth level, she scores 3,540 points, which is 2 standard deviations above the mean score of 3,110 points.

Fiona asked her team to suggest ways of surveying the population of their middle school to find out how many students use bottled water. Which student has the method that is most representative of the school’s population?

The histogram shows the duration, in minutes, of movies in theaters.

Which of the scatterplots have no correlation? Check all that apply.

The table shows the number of games a team won and lost last season. Wins and Losses Last Season Number of GamesWins24Losses16Greg has tickets to six of the team’s games this season. He is designing a simulation, using last year’s wins and losses, to predict whether the team will win or lose each of the games he attends.Which tool is most appropriate for use in a simulation that fits the data?

The quadratic model f(x) = –5x2 + 200 represents the approximate height, in meters, of a ball x seconds after being dropped. The ball is 50 meters from the ground after about how many seconds?

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For which situations is it appropriate to use a sample? Select three options.

What is the contrapositive of the statement?All squares are rectangles.