What are the period and vertical shift of the cosecant function below? period: ; vertical shift: 1 unit up period: ; vertical shift: 2 units up period: ; vertical shift: 1 unit up period: ; vertical shift: 2 units up?

Acompany is developing a new high­performance wax for cross country ski racing. in order to justify the price marketingwants, the wax needs to be very fast. specifically, the mean time to finish their standard test course should be less thanseconds for a former olympic champion. to test it, the champion will ski the course 8 times. the champion's times(selected at random) are 59.9 61.9 48.8 52.2 46.6 45.3 50.6 and 41.1 seconds to complete the test course. complete parts a and b below.a) should they market the wax? assume the assumptions and conditions for appropriate hypothesis testing are metfor the sample.assume=0.05. what are the null and alternative hypotheses? choose the correct answer below.b) suppose they decide not to market the wax after the test, but it turns out that the wax really does lower the champion'saverage time to less thanseconds. what kind of error have they made? explain the impact to the company of such anerror.

Salty sensations snacks company manufactures three types of snack foods: tortilla chips, potato chips, and pretzels. the company has budgeted the following costs for the upcoming period: 1 factory depreciation $33,782.00 2 indirect labor 84,456.00 3 factory electricity 8,446.00 4 indirect materials 40,356.00 5 selling expenses 26,900.00 6 administrative expenses 17,200.00 7 total costs $211,140.00 factory overhead is allocated to the three products on the basis of processing hours. the products had the following production budget and processing hours per case: budgeted volume (cases) processing hours per case tortilla chips 3,600 0.25 potato chips 5,300 0.11 pretzels 2,300 0.49 total 11,200 required: a. determine the single plantwide factory overhead rate.* b. use the factory overhead rate in (a) to determine the amount of total and per-case factory overhead allocated to each of the three products under generally accepted accounting principles. refer to the amount descriptions list provided for the exact wording of the answer choices for text entries.* * if required, round your answers to the nearest cen

An investment counselor calls with a hot stock tip. he believes that if the economy remains strong, the investment will result in a profit of $40 comma 00040,000. if the economy grows at a moderate pace, the investment will result in a profit of $10 comma 00010,000. however, if the economy goes into recession, the investment will result in a loss of $40 comma 00040,000. you contact an economist who believes there is a 2020% probability the economy will remain strong, a 7070% probability the economy will grow at a moderate pace, and a 1010% probability the economy will slip into recession. what is the expected profit from this investment?