Alisha buys 5 boxes of peanut butter granola bars and 5 boxes of cinnamon granola bars. let p represent the number of peanut butter granola bars and c represent the number of cinnamon granola bars. jaira and emma each write an expression that represents the total number of granola bars alisha bought. are the expressions equivalent? justify your answer

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.

You were told that the amount of time lapsed between consecutive trades on the new york stock exchange followed a normal distribution with a mean of 15 seconds. you were also told that the probability that the time lapsed between two consecutive trades to fall between 16 to 17 seconds was 13%. the probability that the time lapsed between two consecutive trades would fall below 13 seconds was 7%. what is the probability that the time lapsed between two consecutive trades will be between 14 and 15 seconds?

Describe a situation that you could represent with the inequality x< 17