g Brain-Grain produces bags of a mixture of grains that purportedly have health benefits. Each bag of grains is labelled to have 16oz of the mixture. The packaging process is deemed to be working within specifications as long as bags that contain 15.87 to 16.26 oz. The amount of the mixture filled in a bag by the packaging process has been found to be normally distributed with a mean of 16 oz and a standard deviation of 0.02 oz. What is the process capability ratio of the process

the answer

b. they are parallel and will never intersect.

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

- (2, -7)

- lines r and s and lines t and u must be parallel