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garik1379 [7]
3 years ago
12

Suppose an electronics manufacturer takes a sample of 5000 devices produced by an assembly line. Each device is inspected or tes

ted for 40 possible defects (varying from scratches on the surface to malfunctions on the audio devices). A total of 8 defects were identified in this sample. What is the defects per million opportunities (DPMO) for this manufacturing process? Does the process meet Six Sigma goals?
Mathematics
1 answer:
Deffense [45]3 years ago
8 0

Answer:

DPMO = 40

Does not meet Six Sigma goals

Step-by-step explanation:

If there are 40 possible defects in each of the 5,000 devices, the number of defect opportunities is:

n=5,000*40\\n=200,000\ opportunities

If 8 total defects were found, the DPMO for the sample is:

DPMO = \frac{8}{200,000}*1,000,000\\DPMO = 40

Six Sigma aims to reduce defects to 3.4 Defects Per Million Opportunities, since the DPMO is higher than 3.4, the process does not meet Six Sigma goals.

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klasskru [66]
Rewrite   <span>2cos x + 1 = 0    as:

2 cos x = -1, and then cos x = -1/2

x must be in Quadrant II or Quadrant III, since the adj. side is negative.

Note that the angle 120 has adj. side -1 and hyp 2.  So 120 degrees is one solution.  

Now what about a possible 2nd solution, to be found in Quadrant III?  That would be -120 degrees, which has the same terminal line as does 240 degrees.

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So, the solution is 120 degrees.</span>
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Step 2: Flip the equation.

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6.
user100 [1]

Answer:

A. y = –5x – 27

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula  y − y 1 = m ( x − x 1 )  to find the line parallel to  y = − 5 x + 3 .

y = − 5 x − 27                           PARALLEL

...................................................................................................................................................

Find the negative reciprocal of the slope of the original line and use the point-slope formula  y − y 1 = m ( x − x 1 )  to find the line perpendicular to  y = − 5 x + 3 .

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