One year Larry had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched) of any male pitcher at his school, with an ERA of 2.98. Also, Vanessa had the lowest ERA of any female pitcher at the school with an ERA of 3.44. For the males, the mean ERA was 4.221 and the standard deviation was 0.898. For the females, the mean ERA was 5.325 and the standard deviation was 0.799. Find their respective z-scores. Which player had the better year relative to their peers, Larry or Vanessa? (Note: In general, the lower the ERA, the better the pitcher.)
To determine which player had a better year relative to their peers, compute each player's z-score. The population z-score can be found using the formula below, where x is the player's ERA, mu is the appropriate population mean and sigma is the appropriate population standard deviation.

Me on this one i will give you 20pts. answer should be in detail . this is the discussion topic. one of the most fiercely debated topics in sports is the hot hand theory. the hot hand theory says that success breeds success. in other words, rather than each shot a basketball player takes or each at-bat a baseball player has being an independent event, the outcome of one event affects the next event. that is, a player can get hot and make a lot of shots in a row or get a lot of hits in a row. the hot hand theory, however, has been shown to be false in numerous academic studies. read this article, which discusses the hot hand theory as it relates to a professional basketball player. state whether you agree or disagree with the hot hand theory, and give reasons for your opinion. be sure to use some of the terms you’ve learned in this unit, such as independent event, dependent event, and conditional probability, in your answer.

Asalsa recipe uses green pepper, onion, and tomato in the extended ratio 3: 5: 7. how many cups of tomato are needed to make 105 cups of salsa? a. 7 b. 21 c. 35 d. 49

In a tutoring session, 2/3 of an hour was spent reviewing math problems. adelina attended 3/4 of the tutoring session. how much time did adelina spend at the tutoring session?