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3 years ago

Use the substitution method to solve each linear system. 4x - 3y = -13,-2x + y = 4

Mathematics

1 answer:

alisha [4.7K]3 years ago

6 0

Answer:

Step-by-step explanation:

(X,Y)=(-55/2,-38

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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

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

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

$Cpk = 0.88$

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

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

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

=> $0.08 = 6 \sigma$

=> $\sigma = 0.0133$

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

=> $2$

Hence

$Cpk = min[ 2, 2 ]$

$Cpk = 2$

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

3 0

3 years ago

How many total inches are in 7 feet 4 inches and 4 feet 10 inches ??? A) 257 inches B) 130 inches C) 126 inches D) 146 inches wh

Gelneren [198K]

The correct answer is D, 146 inches.
7 x 12 = 84
4 x 12 = 48
84+48+4+10 = 146

5 0

3 years ago

Read 2 more answers

This is the answer to the question<br> It is 9.9cm

GenaCL600 [577]

Answer:

9.9cm

Step-by-step explanation:

If side h cm is opposite of 51° and side 8cm is adjacent to 51°, use the tangent function to calculate the opposite side h cm:

tan(51°)=opposite/adjacent=h/8

tan(51°)=h/8

8tan(51°)=h

9.879177252=h

9.9=h

Therefore, the value of h is 9.9cm

3 0

2 years ago

Solve: The diagonals of a parallelogram are as follows:

pochemuha

Answer:

x = 3, y = 2.

Step-by-step explanation:

I assume that O is the point of intersection of the diagonals. The diagonals of a parallelogram bisect each other so here we have AO = OC and DO = OB.

Therefore 5y + 1 = 6y - 1

1 + 1 = 5y - 5y

2 = y.

2(x + 1) = 3x - 1

2x + 2 = 3x - 1

2 + 1 = 3x - 2x

3 = x.

7 0

3 years ago

Please help 7(-37 + k) = 26

Georgia [21]

Answer:

7(k−37)=26

Divide both sides by 7

k−37= 26/7

Add 37 to both sides

k= 26/7 +37

Simplify 26/7 +37 to 285/7

k= 285/7

Decimal Form: 40.714286

3 0

2 years ago

Read 2 more answers