A manufacturer is concerned about the quality of a particular item produced in one of its facilities. The facility operates with three 8-hour shifts of employees during the day. At the end of each shift a random sample of the item is selected and each item checked against the required specifications. The selected items are classified as being either Acceptable or Unacceptable. The following table summarizes the results:

Shift
Quality One Two Three
Acceptable 96 118 64
Unacceptable 14 12 6
Total 110 130 70

The conditional distribution of Acceptable items produced by the three shifts is :

Find a number such that if you add 8 and divide the result by 4 you will get the same answer as if you subtracted 3 from the original number and divided by 2

As part of an annual fundraiser to raise money for diabetes research, diane joined a bikeathon. the track she biked on was 1,920 yards long. diane biked 38.5 laps. her sponsors agreed to donate an amount of money for each mile she biked. how many miles did she bike? first fill in the blanks on the left side using the ratios shown. then write your answer. given ratios: 5280ft / 1 mi , 1 mi /5280 ft , 1,920 yards / 1 lap , 1 lap / 1,920 yards , 3 ft / 1 yard , 1 yard / 3 ft. blanks: 38.5 laps / 1 yard x (blank) x (blank) x (blank) = (blank) miles i'm really confused on how to do this, and the explanations aren't exactly . if you could walk me through how to do this, it would be greatly appreciated.

Consider circle c with angle acb measuring 3/4 radians.if minor arc ab measures 9 inches, what is the length of the radius of circle c? if necessary, round your answer to the nearest inch.