Your company is going to build 4 factories that will use the latest robot technology. One will make prefab buildings, another sewer systems, a third will make prefab highway overpasses, and the fourth will build shipping containers. The factories will each be in a different state, but all 50 states are eligible. a) In how many ways can your factories be placed among the states?b) If you have no idea which states will be chosen, what is the probability that all 4 factories will be located in the mid-Atlantic region (8 states)?

Josephine has a great garden with and area of 2x2 + x - 6 square feet

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.

Samantha is growing a garden in her back yard. she spend $90 setting up the garden bed and buying the proper garden supplies. in addition, each seed she plants cost $0.25. a. write the function f(x) that represents samantha's total cost on her garden. b. explain what x represents. c. explain what f(x) represents. d. if samantha plants 55 seeds, how much did she spend in total?