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3 years ago

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Need help with this please would appreciate if I got some

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iren2701 [21]3 years ago

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g A milling process has an upper specification of 1.68 millimeters and a lower specification of 1.52 millimeters. A sample of pa

adoni [48]

Complete Question

A milling process has an upper specification of 1.68 millimeters and a lower specification of 1.52 millimeters. A sample of parts had a mean of 1.6 millimeters with a standard deviation of 0.03 millimeters. what standard deviation will be needed to achieve a process capability index f 2.0?

Answer:

The value required is $\sigma = 0.0133$

Step-by-step explanation:

From the question we are told that

The upper specification is $USL = 1.68 \ mm$

The lower specification is $LSL = 1.52 \ mm$

The sample mean is $\mu = 1.6 \ mm$

The standard deviation is $\sigma = 0.03 \ mm$

Generally the capability index in mathematically represented as

$Cpk = min[ \frac{USL - \mu }{ 3 * \sigma } , \frac{\mu - LSL }{ 3 * \sigma } ]$

Now what min means is that the value of CPk is the minimum between the value is the bracket

substituting value given in the question

$Cpk = min[ \frac{1.68 - 1.6 }{ 3 * 0.03 } , \frac{1.60 - 1.52 }{ 3 * 0.03} ]$

=> $Cpk = min[ 0.88 , 0.88 ]$

So

$Cpk = 0.88$

Now from the question we are asked to evaluated the value of standard deviation that will produce a capability index of 2

Now let assuming that

$\frac{\mu - LSL }{ 3 * \sigma } = 2$

So

$\frac{ 1.60 - 1.52 }{ 3 * \sigma } = 2$

=> $0.08 = 6 \sigma$

=> $\sigma = 0.0133$

So

$\frac{ 1.68 - 1.60 }{ 3 * 0.0133 }$

=> $2$

Hence

$Cpk = min[ 2, 2 ]$

So

$Cpk = 2$

So $\sigma = 0.0133$ is the value of standard deviation required

3 0

3 years ago

What do you think it is? Be sure to explain

Bezzdna [24]

Answer:

x < 6

Step-by-step explanation:

It has to be a number lower than 6, because 6+6 is 12 and that creates a balanced system.

It cant be a number higher than 6, because it will drag itself down.

So we need a number that when combined, it's sum will be lower than 12

4 0

4 years ago

Manipulate formulas<br> YALL PLZ HELP I BEG U i’ll give brainliest

disa [49]

Answer:

$\sqrt{\frac{3V}{\pi h} }$

Step-by-step explanation:

We have $V = \frac{1}{3} \pi r^2h$ .

We can multiply both sides by 3 to get:

$3V = \pi r^2h$

Divide by $\pi$ by both sides

$\frac{3V}{\pi} = r^2h$

And divide by h by both sides:

$\frac{3V}{\pi h} = r^2$

And finally take the square root of both sides.

$\sqrt{\frac{3V}{\pi h} } = r$

Done!

6 0

4 years ago

Cathys playing a board game the game pieces are each in the shape of a triangle a triangle has a base of 1.5 inches in height of

juin [17]

Answer:

1.5

Step-by-step explanation:

Area of a Triangle = b x h /2

2 times 1.5 is 3, divided by 2 is 1.5

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2 years ago

There are 40 questions on a test. Tina answered 85% of the questions correctly. How

Darina [25.2K]

Answer:

34

Step-by-step explanation:

(40×85)/100

3400/100

34

is right answer

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3 years ago