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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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Step-by-step explanation:

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3 years ago
A group of friends was working on a student film. They spent $330 on costumes, which was 55% of their total budget. What was the
wariber [46]

Answer:

$600

Step-by-step explanation:

Let "x" represent their total budget for the film.

Amount spent on costumes = $330

Percent spent on costumes = 55%

Therefore:

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55/100 × x = 330

55x/100 = 330

Cross multiply

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55x = 33,000

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2 years ago
The manager of a softball team needs to prepare a batting lineup using her 9 starting players. How many different lineups can sh
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4 0
3 years ago
Given 6, 8, and 11 as the three sides of a triangle, classify it as one of the following:
Katyanochek1 [597]

9514 1404 393

Answer:

  C. Obtuse

Step-by-step explanation:

The "form factor" I use for this is ...

  a^2 + b^2 - c^2 = 6^2 + 8^2 - 11^2 = 36 +64 -121 = -21

The value is negative, indicating an OBTUSE triangle.

__

<em>Additional comment</em>

In this expression, 'a' and 'b' are the two shortest sides (in no particular order) and 'c' is the longest side. The interpretation is ...

  negative — obtuse

  zero — right

  positive — acute

__

If you're familiar with Pythagorean triples, you know that the 3-4-5 right triangle triple can be doubled to give 6-8-10. The long side of 11 is longer than the hypotenuse for the right triangle, so would correspond to a largest angle greater than 90°. The 6-8-11 triangle would be OBTUSE.

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Answer:

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Step-by-step explanation:

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