Asample prepared for a chemical measurement is completed correctly by 22% of the lab technicians, completed with minor error by 73% and completed with a major error by 5%. round your answers to three decimal places. a. if a technicial is selected randomly to complete the preparation what is te probability it is completed without error?

22+73+5=100

so 22 over 100 is the fraction to use to find the probability that it is completed without error.

Answer- 22% or .22 or 22/100

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4