An engineer is interested in the effects of cut- ting speed and tool geometry on the life in hours of a machine tool. Two cutting speeds and two different geometries are used. Three experimental tests are ac- complished at each of the four combinations. The data are as follows.

a. Interactions and tools are significant. Speed is insignificant.

b. The interaction effect masks the effect of cutting speed.

c. The high cutting speed has longer life for tools geometry 1 and the low cutting speed has low life for tool geometry 2.

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the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.