The amount of caffeine in the body of a healthy adult after drinking espresso decreases exponentially, with half-life of approximately 6 hours. that is, every 6 hours, the amount of caffeine in the body decreases by 50%. charlotte wants to go to sleep at 11 pm and does not want more than 20 milligrams (mg) of caffeine in her system at the time. what is the latest time charlotte can drink a 2-ounce shot of espresso that contains 80 mg of caffeine?

1. suppose that scores on a knowledge test are normally distributed with a mean of 71 and a standard deviation of 6. a. label the curve: show the mean and the value at each standard deviation: b. if angelica scored a 76 on the test, what is her z-score? (draw her score on the curve above and label) c. what percent of students did angelica score higher than? how can you tell? d. if 185 students took the test, how many students scored higher than angelica?