Martina, brian, and austin sent a total of 92 text messages over their cell phones during the weekend. austin sent 8 more messages than martina. brian sent 2 times as many messages as austin. how many messages did they each send?

Find the exact value of each of the following. in each case, show your work and explain the steps you take to find the value. (a) sin 17π/6 (b) tan 13π/4 (c) sec 11π/3

60 2(x + 2) in the diagram, gef and hef are congruent. what is the value of x?

(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.)