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The random variable x is the number of occurrences of an event over an interval of ten minutes. it can be assumed that the probability of an occurrence is the same in any two-time periods of an equal length. it is known that the mean number of occurrences in ten minutes is 5.3. the appropriate probability distribution for the random variable

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem

1. judy took $30 with her to spend on popcorn and drinks for herself and her friends at the movie theater. the price for each bag of popcorn was $5. the price of each drink was half the price of a bag of popcorn. (a) sketch the graph that represents the situation and label the intercepts. use one axis to represent the number of bags of popcorn and the other axis to represent the number of drinks. (b) explain your graph.