An engineer is interested in the effects of cutting speed (a), tool geometry (b), and cutting angle (c) on the life (in hours) of a machine tool. two levels of each factor are chosen, and three replicates of a 23 factorial design are run. the results below. to answer parts of these questions you will need to use software. the data is not posted on canvas. you will need to put the data into jmp or minitab on your own. (see document posted on canvas in the homework folder with tips for minitab and jmp.)

michael scott & dwight schrute

step-by-step explanation:

lazy scranton music video

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations:

d .tv

step-by-step explanation:

the side tv is included in both triangles.   this means it corresponds to itself in the transformation.

this is justified by using the reflexive property, which states that anything is congruent to itself.