After being repaired, a machine functions for an exponential timewith rate λ and then
fails. Upon failure, a repair process begins. The repair processproceeds sequentially
through k distinct phases. First a phase 1 repair must beperformed, then a phase 2,
and so on. The times to complete these phases are independent, withphase i taking
an exponential time with rate μi, i = 1; ; k.

(a) What proportion of time is the machine undergoing a phase irepair?
(b) What proportion of time is the machine working?

Jackie bought a bag of oranges. she used 3/8 of the oranges to make orange juice. she used 1/3 of the oranges to make a fruit salad. she put 1/8 of the oranges in a bowl on the table. she put 2/12 of the oranges in the refrigerator. a) jackie left more oranges on the table than she put in the refrigerator. b) jackie used fewer oranges to make orange juice than she left on the table. c) jackie put fewer oranges in the refrigerator than she used to make the fruit salad. eliminate d) jackie used more oranges to make a fruit salad than she used to make orange juice.

Acompany wants to reduce the dimensions of its logo by one fourth to use on business cards. if the area of the original logo is 4 square inches, what is the area of the logo that will be used on the business cards?

How can you tell when x and y are not directly proportional?