Consider an experiment taste-testing four types of chocolate chip cookies: 1 (brand A, chewy, expensive), 2 (brand B, crispy, expensive), 3 (brand C, chewy, inexpensive), 4 (brand D, crispy, inexpensive). We will use ten different raters randomly assigned to each type (40 total raters).
Answer the following questions:
a) Design contrasts to compare chewy with crispy, and expensive with inexpensive.
(b) Are your contrasts in part (a) orthogonal? Why or why not?

step-by-step explanation:

1. the cylinder is a. 54

2.   a.108 /

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