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Fittoniya [83]
3 years ago
9

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  ]

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
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
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