Events M and N have probabilities such that P(M) = 0.6, P(N) = 0.35, P(M ∪ N) = 0.56, and P(M ∩ N) = 0.18. Are events M and event N independent? A. No, because P(M) - P(N) = P(M ∩ N). B. No, because P(M) ∙ P(N) ≠ P(M ∩ N). C. Yes, because P(M) + P(N) = P(M ∪ N). D. Yes, because P(M) ∙ P(N) ≠ P(M ∪ N).

Cameron indoor stadium at duke university is one of the most revered sites in all of college basketball, as well as in all of sports period. duke’s men’s and women’s basketball programs have attained quite a few wins in the building over the last seventy years. cameron indoor stadium is capable of seating 9,460 people. for each game, the amount of money that the duke blue devils’ athletic program brings in as revenue is a function of the number of people in attendance. if each ticket costs $45.50, find the domain and range of this function.

Juliana says that she can use the patterns of equivalent ratios in the multiplication table below to write an infinite number of ratios that are equivalent to 6: 10. which statement explains whether juliana is correct? she is correct because she can multiply 6 and 10 by any number to form an equivalent ratio. she is correct because 6: 10 can be written as 1: 2 and there are an infinite number of ratios for 1: 2. she is not correct because the multiplication table does not include multiples of 10. she is not correct because 6: 10 is equivalent to 3: 5 and there are only 9 ratios in the multiplication table that are equivalent to 3: 5.

Polygon abcde is reflected to produce polygon a′b′c′d′e′. what is the equation for the line of reflection?