Subgroups of four power units are selected once each hour from an assembly line, and the high-voltage output of each unit is measured. Suppose that the sum of the ranges of 30 such subgroups is 85.2. Calculate the centerline and control limits of an R chart, if (σ) sigma is 1.2 for this data.

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius and height 2r minus the volume of two cones, each with a radius and height of r. a cross section of the sphere is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is the volume of the cylinder with radius r and height 2r is and the volume of each cone with radius r and height r is 1/3 pie r^3. so the volume of the cylinder minus the two cones is therefore, the volume of the cylinder is 4/3pie r^3 by cavalieri's principle. (fill in options are: r/2- r- 2r- an annulus- a circle -1/3pier^3- 2/3pier^3- 4/3pier^3- 5/3pier^3- 2pier^3- 4pier^3)

Given the functions, fx) = x^2-4 and g(x) = x+ 2, perform the indicated operation. when applicable, state the domain restriction. f(g(x))

Ahmad has completed 24 deliveries so far this week. he needs to make 30 deliveries for the week. what percentage of his deliveries has ahmad completed?