Asoccer team wins 65% of its matches, and 15% of its matches end in a draw. if the team is scheduled to play 20 matches, about how many matches is it expected to lose?

Express the following as a function of a single angle. cos(60) cos(-20) - sin(60) sin(-20)

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)

1.based of the diagrams what is the the value of x? 2.how would you verify your answer for x