3.6 (a) the proportion uptime of a certain piece of production equipment is 97.5%. when a breakdown occurs, the mean time to repair is 45 min. determine the mean time between failures of this equipment.

1755 minutes

Step-by-step explanation:

To determine the mean time between failures in the equipment you need to calculate the time in which this equipment is functional. You know that the 97.5% of the time the equipment is working, so the other 2.5% the equipment is failing; this means that 45 min is 2.5%. With a rule of three you can calculate the time of working (97.5*45)/(2.5) = 1755 minutes. So between failure the equipment can work 1755 minutes.

hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8