Your schools talent show will feature 8 solo acts and ensemble 3 acts. the show will last 70 min. the 4 solo performers judged best will give a repeat performance at a second 50-min show, which will also feature the 3 ensemble acts. each solo lasts x minutes, and each ensemble act lasts y minutes. a. write a system of equations to model the situation. b. solve the system from part(a). how long is each solo act? how long is each ensemble act?

Ling listed all of the factors of a mystery number: 1,2,4,8,16,32 what is the mystery number?

Which statement best explains why ben uses the width hi to create the arc at j from point k

(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.)