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strojnjashka [21]
3 years ago
15

Suppose that your business is operating at the 4.5-Sigma quality level. If projects have an average improvement rate of 50% annu

ally, how many years will it take to achieve Six Sigma quality
Mathematics
1 answer:
Luda [366]3 years ago
5 0

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.

Then the improvement ratio needs to be only 0.00251699, and it will take only about ...

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

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The larger of two numbers is four times the smaller number, and their difference is 18. Find the two numbers.
podryga [215]

Answer:

x = 12 , y = 10

Step-by-step explanation:

Let x , y are two numbers.

x > y

1 ) Three times the greater is 18 times their

difference

3x = 18( x - y )

x = 6( x - y )

x = 6x - 6y

6y = 5x

y = 5x/6 ——-( 1 )

2 ) 4 times the smaller is 4 less than twice

the sum of the two

4y + 4 = 2 ( x + y )

2y + 2 = x + y

y = x -2 ——( 2 )

From ( 1 ) and ( 2 ) ,

5x/6 = x -2

( 5x /6 ) - x = -2

( 5x - 6x ) /6 = -2

-x = -12

x = 12

Put x = 12 in equation ( 2 ) , we get

y = 12 - 2

y = 10

Therefore ,

x = 12 , y = 10

7 0
3 years ago
Item 5
Sedbober [7]

Answer: 300.3858/ maybe 300.385

Step-by-step explanation: 4 2/7 as decimal= 4.29 x (-18) = -77.22 x -3.89=  300.3858 (3.89 = decimal form of -3 8/9)  300.3858 x 1 = 300.3858

3 0
2 years ago
A liquid mixture of 56 ounces contains 14 ounces of sugar and the rest is water. What is the ratio of sugar to water
pickupchik [31]
70 ounces Madison myrick
7 0
2 years ago
Determine which equation has the same solutions as the given equation. x2 − 10x − 11 = 0
cupoosta [38]

The equation x² − 10x − 11 = 0 that is equivalent to (x – 5)² = 36. Then the correct option is A.

<h3>What is an equivalent expression?</h3>

The equivalent is the expressions that are in different forms but are equal to the same value.

The equation is given below.

x² − 10x − 11 = 0

Then the equation can be written as

x² − 10x + 25 – 25 − 11 = 0

                        (x – 5)² = 36

Then the correct option is A.

The complete question is attached below.

More about the equivalent link is given below.

brainly.com/question/889935

#SPJ1

4 0
1 year ago
Will mark brainliest
lubasha [3.4K]
1. V = r² π hV = 3² π · 10 = 90 π in³Answer: C.2. r = 18/2 = 9 yd, h = 3 ydV = 9² π · 3 = 243 π yd³3. r = 46.25 / 2 = 23.125 cmh = 18.5 cmV = 23.125² · 3.14 · 18.5 = 31,064.53 cm³4. h = 1934,  d = 1934 · 125 = 241,750 ,  r = 241.750 / 2 = 120,875 V = 120,875² · 3.14 · 1934 = = 14,610,765,625 · 3.14 · 1934 = = 88,727,673,056,875

7 0
3 years ago
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