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sattari [20]
3 years ago
12

Can someone please help me with solving this maths question?

Mathematics
1 answer:
harina [27]3 years ago
3 0

Answer:

CD = 7

Step-by-step explanation:

Given that the triangles are congruent, then corresponding sides are congruent, that is

CD = AB , substitute values

3y + 1 = 15 - 4y ( add 4y to both sides )

7y + 1 = 15 ( subtract 1 from both sides )

7y = 14 ( divide both sides by 7 )

y = 2

Thus

CD = 3y + 1 = 3(2) + 1 = 6 + 1 = 7

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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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3 years ago
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madreJ [45]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
F(x) = 2x2 – x + 9<br> Find f (4)
Alex

Answer:

45

Step-by-step explanation:

F(-4). F(x) = 2x^2 - x + 9

3 0
3 years ago
An environmental scientist estimated the number of drops of water in two different jugs. He estimated that the smaller jug conta
LiRa [457]
I believe it is 8,459,999,894,000,001
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3 years ago
a rectangle is 5 inches long and 2x inches wide. The value of the perimeter is 22 inches what is the value of x?
Alekssandra [29.7K]

Answer: x =3

Step-by-step explanation:

2× 3 = 6

length= 5 inches

width= 2×3= 6 inches

2(l+w) = 2(5+6)

2(11)

2×11= 22

hope this helps:-)

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3 years ago
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