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CaHeK987 [17]
3 years ago
8

Studies on a bottle-filling machine indicate that it fills bottles to a mean of 16 ounces with a standard deviation of 0.10 ounc

es. What is the process specification, assuming the Cpk index of 1?
Mathematics
1 answer:
Eduardwww [97]3 years ago
5 0

Answer:

LSL = 15.7

USL = 16.3

Step-by-step explanation:

\bar x = Mean = 16 ounces

σ = Standard deviation = 0.1 ounces

C_p=1

C_p=\frac{USL-LSL}{6\sigma}\\\Rightarrow USL-LSL=6\sigma \times C_p\\\Rightarrow USL-LSL=6\times 0.1\times 1\\\Rightarrow USL-LSL=0.6

Now to find USL and LSL

As range is 6σ for finding USL and LSL we have to take value of 3σ

LSL=16-0.3\\\Rightarrow LSL=15.7

USL=16+0.3\\\Rightarrow LSL=16.3

∴ LSL = 15.7

USL = 16.3

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Which pair of expressions are equivalent? 3 v + 5 minus 9 v + 2 and negative 6 v + 6 Negative 6 n + 3 minus 2 n + 2 and negative
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Answer:

Negative 4 n + 8 + 9 n minus 2 and 5 n + 6

Step-by-step explanation:

3v + 5 - (9v + 2)

3v + 5 - 9v -2 = -6v + 3

-6v + 6

(NO)

-6n + 3 - (2n + 2)

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(YES)

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3 years ago
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3 years ago
About 250 million drivers are registered in the United States. While on a trip with her family, a student counted the number of
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She could estimate that there would be about 148 million female drivers.

From her data, she found there were 118 females drivers out of the total 200 drivers that she counted.

That is 118 out of 200 or 0.59 or 59%.

Now, just take 59% of 250.

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4 0
3 years ago
Find the LCM of 20 and 18.
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6 0
3 years ago
100 is what percent of 250?
alisha [4.7K]

Answer:

100 is 40% of 250

Step-by-step explanation:

1. We assume, that the number 250 is 100% - because it's the output value of the task.  

2. We assume, that x is the value we are looking for.  

3. If 100% equals 250, so we can write it down as 100%=250.  

4. We know, that x% equals 100 of the output value, so we can write it down as x%=100.  

5. Now we have two simple equations:

1) 100%=250

2) x%=100

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=250/100

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 100 is what percent of 250

100%/x%=250/100

(100/x)*x=(250/100)*x       - we multiply both sides of the equation by x

100=2.5*x       - we divide both sides of the equation by (2.5) to get x

100/2.5=x  

40=x  

x=40

now we have:  

100 is 40% of 250

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3 years ago
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