Identify the “cup.”

(Combinations and Permutations LC)Calculate the number of combinations, given n = 17 and r = 3.

(Comparing Data HC)Salary data were gathered from two companies and displayed in the stacked box plots.Part A: Compare the appropriate measure of center based on the shapes of the distributions. Explain your choice. (3 points)Part B: Compare the appropriate measure of variability based on the shapes of the distributions. Explain your choice. (3 points)Part C: Which company is better to work for if you are an average worker? Justify the answer. (4 points)

(Linear Models MC)Data were collected from several hospitals about the charge for medical procedures and the popularity of the procedures. The results were used to calculate the model ŷ = –58.25x + 927, where x represents the cost of the procedure in thousands of dollars and ŷ represents the predicted number of procedures performed. Using the model, how much would a procedure cost that is predicted to be performed 400 times?

(Addition and Multiplication Rules for Probability LC)P(A) = 0.33, P(B) = 0.21, P(A|B) = 0.21. Are the events independent? Justify mathematically.

(Applying Two-Way Frequency Tables LC)P(A) = 0.51 and P(B) = 0.15 If events A and B are independent, what is the P(A ∩ B)?

(Data Displays MC)Which of the following is the best type of display for the given data? Nonfiction Action Fantasy Comedy Romance Frequency 289 155 87 92 104

  (Exponential Models MC)A music streaming platform used data to calculate the model ŷ = 748.4(1.146)x, where x represents the number of days since a song was released and ŷ represents the predicted number of downloads. Interpret the percent rate of change of the model in the context of the problem.

(Data Displays LC)What type of data are represented in the table? Time (in seconds) 12 18 22 54 72 Depth (in meters) 10 12 15 25 31

(Interpreting Data Distributions HC)Data were gathered and displayed in the stem-and-leaf plot. 1 7 7 7 7 8 2 0 0 1 4 5 7 8 9 3 0 1 2 2 2 4 5 8 8 4 1 2 3 3 3 4 5 7 8 9 5 0 1 4 4 4 5 5 6 6 1 2 3 4 7 7 Key: 1|7 represents 17 Part A: Identify the shape of the distribution. (2 points)Part B: Suppose an outlier is added to the data set. If the resulting mean is lower with the outlier than without, state a possible value of the outlier. Justify the answer. (4 points)Part C: Which measure is more appropriate to use to describe the shape of the distribution? Justify the answer based on the shape of the distribution. (4 points)