Four jobs have uniformly distributed processing times, independently distributed on [10,15],[15,20],[10,20], and [15,25] respectively. There are three identical processors. Whenever a processor completes a job, it gets the next job on the schedule.

(a) Calculate the expected makespan for the schedule 1,2,3,4.(b) Calculate the expected flowtime for the schedule 1,2,3,4.(c) Calculate the expected makespan for the schedule 4,1,2,3.(d) Calculate the expected flowtime for the schedule 4,1,2,3.(e) Which schedule is better for flowtime? for makespan?

The center of the circumscribed circle lies on line segment and the longest side of the triangle is equal to the of the circle.

Molly shared a spool of ribbon with 12 people. each person received 3 feet of ribbon. which equation can she use to find r, the number of feet of ribbon that her spool originally had?

In δabc shown below, ∠bac is congruent to ∠bca: triangle abc, where angles a and c are congruent given: base ∠bac and ∠acb are congruent. prove: δabc is an isosceles triangle. when completed (fill in the blanks), the following paragraph proves that line segment ab is congruent to line segment bc making δabc an isosceles triangle. (4 points) construct a perpendicular bisector from point b to line segment ac . label the point of intersection between this perpendicular bisector and line segment ac as point d: m∠bda and m∠bdc is 90° by the definition of a perpendicular bisector. ∠bda is congruent to ∠bdc by the definition of congruent angles. line segment ad is congruent to line segment dc by by the definition of a perpendicular bisector. δbad is congruent to δbcd by the line segment ab is congruent to line segment bc because consequently, δabc is isosceles by definition of an isosceles triangle. 1. corresponding parts of congruent triangles are congruent (cpctc) 2. the definition of a perpendicular bisector 1. the definition of a perpendicular bisector 2. the definition of congruent angles 1. the definition of congruent angles 2. the definition of a perpendicular bisector 1. angle-side-angle (asa) postulate 2. corresponding parts of congruent triangles are congruent (cpctc)