(05.07 HC) A student is assessing the correlation between the number of workers in a factory and the number of units produced daily. The table shows the data: Number of workers(x) 0 10 20 30 40 50 60 70 80 90 Number of units(y) 2 52 102 152 202 252 302 352 402 452 Part A: Is there any correlation between the number of workers in a factory and the number of units produced daily? Justify your answer. (4 points) Part B: Write a function that best fits the data. (3 points) Part C: What does the slope and y-intercept of the plot indicate? (3 points)

(05.07 HC) A manager is assessing the correlation between the number of employees in a plant and the number of products produced yearly. The table shows the data: Number of employees(x) 0 25 50 75 100 125 150 175 200 Number of products(y) 10 160 310 460 610 760 910 1060 1210 Part A: Is there any correlation between the number of employees in the plant and the number of products produced yearly? Justify your answer. (4 points) Part B: Write a function that best fits the data. (3 points) Part C: What does the slope and y-intercept of the plot indicate? (3 points)

(07.04 MC) Identify the factors of x2 + 36y2.

(05.05 MC) A food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions:   Likes hamburgers Does not like hamburgers Total Likes burritos 29 41   Does not like burritos   54 135 Total 110   205 Part A: What percentage of the survey respondents do not like both hamburgers and burritos? (2 points) Part B: What is the marginal relative frequency of all customers that like hamburgers? (3 points) Part C: Use the conditional relative frequencies to determine which data point has strongest association of its two factors. Use complete sentences to explain your answer. (5 points)

(07.03 LC) Determine the factors of x2 − 7x − 10.

(05.05 MC) A food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions:   Likes hamburgers Does not like hamburgers Total Likes burritos   38 77 Does not like burritos 95   128 Total 134 71   Part A: What percentage of the survey respondents do not like both hamburgers and burritos? (2 points) Part B: What is the marginal relative frequency of all customers that like hamburgers? (3 points) Part C: Use the conditional relative frequencies to determine which data point has strongest association of its two factors. Use complete sentences to explain your answer. (5 points)

(05.01 MC, 05.02 MC, 05.04 MC) Use the box plots comparing the number of males and number of females attending the latest superhero movie each day for a month to answer the questions. Part A: Estimate the IQR for the males’ data. (2 points) Part B: Estimate the difference between the median values of each data set. (2 points) Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each. (4 points) Part D: Provide a possible reason for the outlier in the data set. (2 points)

(07.04 LC) Factor completely 16×2 − 25.

(08.01 MC) A food packet is dropped from a helicopter and is modeled by the function f(x) = −16×2 + 14400. The graph below shows the height f(x), in feet, of the food packet at different times x, in seconds: Use the graph to determine the domain of f(x) for all viable x values, based on the context.

(07.05 LC) The polynomial f(x) is written in factored form: f(x) = (x − 9)(x + 12)(x − 24) What are the zeros of the polynomial function?