Ahigh school science teacher has 78 students. of those students, 35 are in the band and 32 are on a sports team. there are 16 students who are not in the band or on a sports team. one student from the 78 students will be selected at random. let event bb represent the event of selecting a student in the band, and let event ss represent the event of selecting a student on a sports team. are bb and ss mutually exclusive events?

You are a manager at asda. you have been given the demand data for the past 10 weeks for swim rings for children. you decide to run multiple types of forecasting methods on the data to see which gives you the best forecast. if you were to use exponential smoothing with alpha =.8, what would be your forecast for week 22? (the forecast for week 21 was 1277.) week demand 12 1317 13 1307 14 1261 15 1258 16 1267 17 1256 18 1268 19 1277 20 1277 21 1297

In 2017, "a public university was awarded a federal reimbursement grant" of $18 million to carry out research. of this, $12 million was intended to cover direct costs and $6 million to cover overhead. in a particular year, the university incurred $4 million in allowable direct costs and received $3.4 million from the federal government. it expected to incur the remaining costs and collect the remaining balance in 2018. for 2017 it should recognize revenues from the grant of

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