If you throw exactly one head in two tosses of a coin you win $9. If not, you pay me $15. Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values.

Alocation analysis has been narrowed down to two locations, akron and boston. the main factors in the decision will be the supply of raw materials, which has a weight of .50, transportation cost, which has a weight of .40, and labor cost, which has a weight of .10. the scores for raw materials, transportation, and labor are for akron 60, 80, and 70, respectively; for boston 70, 50, and 90, respectively. given this information and a minimum acceptable composite score of 75, we can say that the manager should:

One question from a survey was "how many credit cards do you currently have? " the results of the survey are provided. complete parts (a) through (g) below. click the icon to view the survey results. (a) determine the mean number of credit cards based on the raw data. the mean is 3.113.11 credit cards. (type an integer or a decimal. do not round.) (b) determine the standard deviation number of credit cards based on the raw data. the standard deviation is 1.9111.911 credit cards. (round to three decimal places as needed.) (c) determine a probability distribution for the random variable, x, the number of credit cards issued to an individual. x (# of cards) p(x) x (# of cards) p(x) 1 0.280.28 6 nothing 2 nothing 7 nothing 3 nothing 8 nothing 4 nothing 9 nothing 5 nothing 10 nothing (type integers or decimals. do not round.)

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?