0=x^2-10x-27 complete each statement about the solutions to the equation

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 operating at a 6 sigma level, the probability is:

$\\ 1 - p = 1 - 0.999999998027 = 0.000000001973$

Similarly, for finding no defects 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 6 sigma level is markedly different when it comes to the number of defects present:

$\\ {6\sigma} \approx \frac{2}{10^9}$ [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 2 defects per billion opportunities, whereas a five sigma process has 600 defects per billion opportunities.

8 0

3 years ago

the parallel sides of a trapezium are such that the longer side is 4cm more than the shorter side of the distance between them i

saw5 [17]

Answer:

32cm and 28cm

Step-by-step explanation:

Area of a trapezium=0.5 ( sum of parallel sides ) × height

600=0.5( 4+a+a)×20

where a is the length of the shorter side

600÷0.5=(4+2a)×20

1200=(4+2a)×20

1200÷20=4+2a

60=4+2a

60-4=2a

56=2a

56÷2=a

28=a.

since the longer side is 4 cm more than th shorter side , 28 +4=32

4 0

3 years ago

Sara claims that a sequence of transformations carries Rectangle 1 onto Rectangle 2. Which of the following sequences of transfo

Anastasy [175]

Wait isn’t it a? I’m not sure tho

8 0

3 years ago

Which of the following represents a problem that could be solved by the

gregori [183]

Answer:

inaviodfhiovhefoinvoierfoubdskjvbdnxc vkjfbd hhhhj hdf bvhzbvhsfvhjaebsdvbj

Step-by-step explanation:

hvytuvuhygtfrthjojuhygtfrtghbjnknhobgvytcfrxehgghjggkg\

8 0

3 years ago

Question 4 (2 points)

Law Incorporation [45]

Answer:

x= $19.25 + $36

y= total cost

Step-by-step explanation:

x= number of nights + admission

y= total cost

7 0

3 years ago