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adoni [48]
3 years ago
7

Write the following set in roster form and in set-builder notation.

Mathematics
1 answer:
expeople1 [14]3 years ago
7 0
Assuming that by greater you mean strictly greater :

Roster form : P=(-1,0,1,2)

Set builder notation : P=\{z\in\Bbb{Z}\mid-2
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Identify the class width for the given frequency distribution
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Answer: not enough information

Step-by-step explanation:

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3 years ago
Suppose that your business is operating at the 4.5-Sigma quality level. If projects have an average improvement rate of 50% annu
Luda [366]

Answer:

  11.75 years

Step-by-step explanation:

If we ignore the fact that "6-sigma" quality means the error rate corresponds to about -4.5σ (3.4 ppm) and simply go with ...

  P(z ≤ -6) ≈ 9.86588×10^-10

and

  P(z ≤ -4.5) ≈ 3.39767×10^-6

the ratio of these error rates is about 0.000290372. We're multiplying the error rate by 0.5 each year, so we want to find the power of 0.50 that gives this value:

  0.50^t = 0.000290372

  t·log(0.50) = log(0.00290372) . . . . take logarithms

  t = log(0.000290372)/log(0.50) ≈ -3.537045/-0.301030

  t ≈ 11.75

It will take about 11.75 years to achieve Six Sigma quality (0.99 ppb error rate).

_____

<em>Comment on Six Sigma</em>

A 3.4 ppm error rate is customarily associated with "Six Sigma" quality. It assumes that the process may have an offset from the mean of up to 1.5 sigma, so the "six sigma" error rate is P(z ≤ (1.5 -6)) = P(z ≤ -4.5) ≈ 3.4·10^-6.

Using that same criteria for the "4.5-Sigma" quality level, we find that error rate to be P(z ≤ (1.5 -4.5)) = P(z ≤ -3) ≈ 1.35·10^-3.

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  t ≈ log(0.00251699)/log(0.5) ≈ 8.6 . . . . years

5 0
3 years ago
What is the rational number equivalent to 3.12​
jekas [21]

Answer:

3 4/33

Step-by-step explanation:

3 0
2 years ago
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omeli [17]
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Foci are 14.28 units apart 
3 0
3 years ago
Find the x-intercepts of the quadratic funct<br> f(x) = x2 – 5x – 14
Trava [24]

Answer:

x = - 2, x = 7

Step-by-step explanation:

To find the x- intercepts let f(x) = 0, that is

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(x - 7)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

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x + 2 = 0 ⇒ x = - 2

7 0
3 years ago
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