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(Combinations and Permutations LC)Calculate the number of combinations, given n = 16 and r = 3.

(Interpreting Independence MC)A beverage company surveyed 310 customers about their favorite type of weather and preferred beverage. The results are displayed in the table. Water Coffee Tea Soft Drink Sunny 28 44 16 36 Stormy 14 22 18 8 Snowy 21 33 12 27 Cloudy 7 11 9 4 Is preferring soft drinks independent of favoring sunny weather? Justify mathematically.

(Logic and Truth Tables MC)Complete the truth table for the given logical statement: p ↔ ∼q

(Interpreting Data Distribution MC)The display shows data collected from a group of students at Brookville High School.How many more students chose purple than chose pink?

(Conditional Probability MC)The probability of selecting a purple balloon is 0.24. The probability of selecting a purple balloon, given that the balloon has glitter, is 0.19. Interpret the outcome of the conditional probability.

  (Logic Operations and Equivalence MC)Use the statements and truth table to determine which statements are equivalent. p: It is a university. q: It offers a degree in aviation management. p q ∼p ∼q p → q ∼p → ∼q q → p ∼q → ∼p T T F F T T T T T F F T F T T F F T T F T F F T F F T T T T T T

(Conditional Probability MC)The probability of selecting a purple balloon is 0.14. The probability of selecting a purple balloon, given that the balloon has glitter, is 0.19. Interpret the outcome of the conditional probability.

(Logic and Truth Tables LC)Given the two statements p and q, write a compound statement using a disjunction. p: It is snowing. q: The trees are still.

(Linear Models LC)Using the line of best fit ŷ = 0.641x + 3.467, predict the value of ŷ when x is 33.

(Exploring Events Using Probability LC)Describe all the outcomes of the event from rolling a number of at least 8 on a standard 12-sided die.