Aproduction line is in-control, centered and the quality characteristic of interest is normally distributed. the process capability ratio cpk = 0.90 and the specifications limits (lsl, usl) are (86, 130). (a) how many process standard deviations separate the process mean from the upper specification limit? (b) what is the dpmo falling below the lower specification limit? (c) what is the sigma level for the process? (d) calculate the zbench and the sigma quality level (sql) for the process? (e) by how much would the process standard deviation have to be reduced to have a true six sigma (6σ) process?

What is the value of the expression below? 148+(-6)| + |– 35= 7|

In the diagram, points d and e are marked by drawing arcs of equal size centered at b such that the arcs intersect ba and bc. then, intersecting arcs of equal size are drawn centered at points d and e. point p is located at the intersection of these arcs. based on this construction, m , and m

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.