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Sphinxa [80]
3 years ago
8

What is the solution to the system of equations?

Mathematics
1 answer:
rosijanka [135]3 years ago
7 0

Step-by-step explanation:

3x - 6(2x + 4) = 3

3x - 12x + 24 = 3

-9x + 24 = 3

-9× = -21

x = 2.33

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The statistical difference between a process operating at a 5 sigma level and a process operating at a 6 sigma level is markedly
Svet_ta [14]

Answer:

True

Step-by-step explanation:

A six sigma level has a lower and upper specification limits between \\ (\mu - 6\sigma) and \\ (\mu + 6\sigma). It means that the probability of finding no defects in a process is, considering 12 significant figures, for values symmetrically covered for standard deviations from the mean of a normal distribution:

\\ p = F(\mu + 6\sigma) - F(\mu - 6\sigma) = 0.999999998027

For those with defects <em>operating at a 6 sigma level, </em>the probability is:

\\ 1 - p = 1 - 0.999999998027 = 0.000000001973

Similarly, for finding <em>no defects</em> in a 5 sigma level, we have:

\\ p = F(\mu + 5\sigma) - F(\mu - 5\sigma) = 0.999999426697.

The probability of defects is:

\\ 1 - p = 1 - 0.999999426697 = 0.000000573303

Well, the defects present in a six sigma level and a five sigma level are, respectively:

\\ {6\sigma} = 0.000000001973 = 1.973 * 10^{-9} \approx \frac{2}{10^9} \approx \frac{2}{1000000000}

\\ {5\sigma} = 0.000000573303 = 5.73303 * 10^{-7} \approx \frac{6}{10^7} \approx \frac{6}{10000000}  

Then, comparing both fractions, we can confirm that a <em>6 sigma level is markedly different when it comes to the number of defects present:</em>

\\ {6\sigma} \approx \frac{2}{10^9} [1]

\\ {5\sigma} \approx \frac{6}{10^7} = \frac{6}{10^7}*\frac{10^2}{10^2}=\frac{600}{10^9} [2]

Comparing [1] and [2], a six sigma process has <em>2 defects per billion</em> opportunities, whereas a five sigma process has <em>600 defects per billion</em> opportunities.

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There are 600 counters in a bag 90 of them are yellow.
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3 over 20 is the fraction in simplest form.
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Answer:

A) Divide 20 by 2 and then add 8 to the result

Step-by-step explanation:

\frac{20}{2}+8=10+8=18

8 0
4 years ago
what is the monthly payment for a loan if the amount to finance is $12,385 the APR is 6.9% for 5 years and the monthly payment p
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$1.98 * ($12,385/$100) = $245.22

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How do I find the slope of this altitude?<br><br>I am referring to question 19.
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