A quality engineer is assessing the capability of a process. He took a sample of the production line for the inner tubes, which yileded an average of 61 psi with a satndard deviation of 2 psi. The specification calls for the acceptance range to be from 55 psi to 65 psi. What is the Cpk of this line?

Answers

Answer 1

Answer:

The Cpk of this line is 0.6667.

Step-by-step explanation:

Cpk:

In a process with mean [tex]\mu[/tex], standard deviation [tex]\sigma[/tex], upper limit U and lower limit M, the CPK is of:

[tex]C_{pk} = \text{min}(\frac{U-\mu}{3\sigma}, \frac{\mu-L}{3\sigma})[/tex]

Average of 61 psi with a standard deviation of 2 psi.

This means that [tex]\mu = 61, \sigma = 2[/tex]

The specification calls for the acceptance range to be from 55 psi to 65 psi.

This means that [tex]L = 55, U = 65[/tex].

Cpk

[tex]\frac{U-\mu}{3\sigma} = \frac{65-61}{3(2)} = 0.6667[/tex]

[tex]\frac{\mu-L}{3\sigma} = \frac{61-55}{3(2)} = 1[/tex]

The minimum of these values is 0.6667, so the Cpk of this line is 0.6667.


Related Questions

I need help on this math work could someone please help me?

Answers

Answer:

36

Step-by-step explanation:

Assuming you are looking for the number of unique meals with one appetizer, one entree and one dessert, you multiply the number of options in each 'round':

3*4*3 = 36

For Sigma-summation Underscript n = 1 Overscript infinity EndScripts StartFraction 0.2 n Over 0.8 EndFraction, find S3=

Answers

I salute you sir for your sacrifice!

The required summation [tex]\sum5/4(1/5)^n[/tex]  for n =3 is 0.31. And the Truncation error is  0.0025.

From image  [tex]\sum5/4(1/5)^n[/tex] to be determine for n = 3 where n = (1,∞).

What is a truncation error?

Truncation error is defined as when the difference in approx value to actual value is a truncated error.

Here,
= [tex]\sum5/4(1/5)^n[/tex]

For n = 3
[tex]=5/4((1/5)^1+(1/5)^2+(1/5)^3)\\=5/4*0.248\\[/tex]

=0.3125 ≈ 0.31

Now, truncated error
S =0.3125
Truncated error = 0.3125-0.3100
                           =   0.0025

Thus, The required summation [tex]\sum5/4(1/5)^n[/tex]  for n =3 is 0.31. And the Truncation error is 0.0025.

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Plz help meh well mark brainliest if you are correct!..

Answers

Answer: Points A and D

Step-by-step explanation:

Points A is 5 units away from 0 , Point D is 5 units away from zero making them opposites.

Find the value of x.

Answers

Answer:

x=17 plz the brainliest!

Step-by-step explanation:

3x+39=90

3x+39-39=90-39

3x=51

\frac{3x}{3}=\frac{51}{3}

x=17

18) In a class of 50 boys 3/5of the boys got marks above 60 in Mathematics. How
many boys got above 60 marks?​

Answers

Answer:

thx for the points mwah

Step-by-step explanation:

Please help me guys I'm trying to get my grade up <33

Answers

the answer is 22

:)))))))

HELP ASAP WITH EXPLANATION THEN I WILL GIVE 100 POINTS AND BRAINIEST

Answers

Answer:7/25

if its wroung im sorry TwT

Suppose that the function y = f(x) is decreasing on the interval ( 5, 7). What can be said about the graph of y= -f(x)

Answers

Since the function y= f(x) is decreasing on the interval (5, 7), y = -f(x) is INCREASING on the interval (5,7), because the slope is inverted due to the negative sign.

The graph of y = -f(x) is increasing on the interval ( 5, 7) if the function y = f(x) is decreasing on the interval ( 5, 7).

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

Suppose that the function y = f(x) is decreasing on the interval ( 5, 7).

The function:

y = -f(x)

Let f(x) be:

f(x) = -aˣ

Here 'a' is the real number a > 0

f(x) is decreasing on the interval ( 5, 7).

Applying transformation:

y = -f(x)

y = aˣ

Function y is increasing on the interval ( 5, 7).

Thus, the graph of y = -f(x) is increasing on the interval ( 5, 7) if the function y = f(x) is decreasing on the interval ( 5, 7).

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Which of the following is equivalent to 16^3/4

Answers

Answer:

8

Step-by-step explanation:

The Stem-and-Leaf plot and the Box-and-Whisker Plot here display the number of shoes sold daily in a 12-day sale. What is the median number of this data set?



A. 80
B. 89
C. 84
D. 86

Answers

Answer:

I'm pretty sure it's B

Step-by-step explanation:

Let me know otherwise.

Hope it helps :)

The median of the given data is 89. Option B is correct.

We have given that,

The Stem-and-Leaf plot and the Box-and-Whisker Plot here display the number of shoes sold daily in a 12-day sale.

We have to determine the median number of this data set from the given data

What is the median?

The median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as the middle value.

A. 80

B. 89

C. 84

D. 86

Therefore the median of the given data is 89.

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a) Area:
b) Perimeter:
13 cm
add speaker notes

Answers

Answer:

area: 169

perimeter: 52

Which of the following statements about the mapping is not true?

Answers

Answer:

I'm pretty sure the answer is A

Step-by-step explanation:

range can have multiple domain but domain can't have multiple ranges. So you can have (1,3) , (2,3) , (4,3)

but you can NOT HAVE (1,1) , (1,2) , (1,6)

the x value can not repeat in order for it to be a function due to the vertical line test thing

At the beach the ratio of green towels to yellow towels is 2 : 5. What is the ratio of green towels to total towels?

Answers

Answer:

2:7

Step-by-step explanation:

Add 2+5=7 which is the total amount of towels

And as before 2 are green so it would be 2:7

Help me pleaseeee thank you

Answers

The answer is D 21t
For each day is an increase of 21

Answer:

D

Step-by-step explanation:

Time is directly proportional to the Cost. And if you use the calculator you'll still get the answer by substituting the time into 21t

Find a polynomial f(x) of degree 3 that has the following zeros. -1 (multiplicity 2), 8 Leave your answer in factored form

Answers

Answer:

Ganancia neta de la ciencia y dibujos de los gobernante en la vida de las ciudadanos y ciudadanas que ah implementado la Municipalidad de tu distrito para enfrentar la pandemia de mi corazón del gobierno estás a cargo del gobierno estás a cargo

Step-by-step explanation:

Ganancia neta de la ciencia y dibujos de los gobernante en la vida de las ciudadanos y ciudadanas que ah implementado la Municipalidad de tu distrito para enfrentar la pandemia de mi corazón del gobierno estás a cargo

do you think theres anyway at all that Fernando and i could ever work it out. i am crazy in love wirh him and wish that he would call me​

Answers

Answer:

I do. But keep in mind, sometimes things aren't meant to be. You may not see it now but you could be better off without him.

4. John wants to cover a box entirely with silver paper. How many square centimetres
of silver paper will he need if the box measures 22 cm long, 16 cm wide, and 10 cm deep?
A. 1 464 sq cm
B. 3 520 sq cm
C.4 164 sq cm
D. 5 230 sq cm

5. How many square decimetres of cardboard is needed to make a cubical soda cracker box measuring 2.5 dm on each edge?
A. 5.0 sq dm
B. 6.25 sq dm
C. 37.5 sq dm
D. 7.35 sq dm

6. Suppose you want to produce ping pong balls with 1.5 dm radius. What is the least
amount of rubber you would need if you want to produce 10 ping pong balls?
A. 262.8 sq dm
B. 272.6 sq dm
C. 282.6 sq dm
D. 286.2 sq dm​

Answers

Answer:

4.

l=22cm

b:16cm

h:10cm

surface area =2(lb+bh+lh)=2(22*16+16*10+22*10)

=1464cm²

5.

a=2.5dm

area cubical soda cracker box=6a²=6*2.5²=37.5dm²

6.

r=1.5dm

area of ball=4πr²=4π×1.5²=28.27dm² per ball

for 10 bal =28.27×10=282.6dm²

HELPPP
PLLS
DUE RN



WILL


GIVE BRAINLIST



X
X
X
X

Answers

Answer:

25 11/28

can i have brainliest now lol

Answer:

[tex]25\frac{11}{28}feet[/tex]

Step-by-step explanation:

[tex]3+13\frac{1}{7} + 9\frac{1}{4}[/tex]

[tex]3+22\frac{11}{28}[/tex]

[tex]25\frac{11}{28}[/tex]

Find the system:
y=3x^2
y=x^3-x^2

Answers

Answer:

See image below

Step-by-step explanation:

The focus of a parabola is (2, 5) and the directrix is y = 1. What is the equation of the parabola?

Answers

Answer:

y = 0.125x² - 0.5x + 3.5

Hope that this helps!

Answer:

y = 0.125x² - 0.5x + 3.5

Step-by-step explanation:

I dont know if its correct hope it helped

Please answer as many as you can pls pls pls!!!!! This is a test

Answers

Answer:

35. c

36. b

37. b

I can help with more, could you please zoom in a bit more, I cannot read the exponents.  thanks!!

Step-by-step explanation:

Ramon's RV Sales has current assets of $1,235,500 and current liabilities of $710,150. Find the current ratio.
1.4
1.5
1.7
1.9
None of these choices are correct.

Answers

1.7 is the correct answer

. Given the significance level 0.025, the F-value for the degrees of freedom, df = (7,3) is A. 5.89. B. 14.62. C. 8.45. D. 27.67.

Answers

Answer:

B. 14.62

Step-by-step explanation:

Given that

The significance level is 0.025

We need to find out the degree of freedom df(7,3)

So for this please see the attached table

And, the calculation is given below;

As we can see that f-value = 14.62

df1=7

and

df2=3

Therefore the second option is correct

The same is relevant and considered

find the value of 'm' : (3/8) 2m × (3/8)^6 × (3/8) = (3/8)^13​

Answers

Answer:

The value is m = 3.

Step-by-step explanation:

Multiplication of terms with same base and different exponents:

When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents.

In this question:

We have the following expression:

[tex](\frac{3}{8})^{2m} \times (\frac{3}{8})^6 \times (\frac{3}{8}) = (\frac{3}{8})^13[/tex]

Applying the property:

[tex](\frac{3}{8})^{2m+6+1} = (\frac{3}{8})^13[/tex]

[tex](\frac{3}{8})^{2m+7} = (\frac{3}{8})^13[/tex]

Since the bases are equal, we can equalize the exponents:

[tex]2m + 7 = 13[/tex]

[tex]2m = 6[/tex]

[tex]m = \frac{6}{2} = 3[/tex]

The value is m = 3.

PLEASE HELP ME 20 PTS
Consider the series Three-halves + three-fourths + StartFraction 3 Over 8 EndFraction + StartFraction 3 Over 16 EndFraction + ellipsis

What expression defines Sn?

S Subscript n Baseline = 3 (one-half Superscript n)
S Subscript n Baseline = three-halves (one-half Superscript n)
S Subscript n Baseline = 3 (1 minus one-half Superscript n)
S Subscript n Baseline = three-halves (1 minus one-half Superscript n)

Answers

Answer:

The answer is C

Sn=3(1-1/2^n)

Step-by-step explanation:

The expression which defines [tex]S_{n}[/tex] is option c which is [tex]S_{n} =3(1-1/2){n}[/tex].

What is geometric progression?

A geometric progression is basically a sequence in which all the terms have a common ratio. It is also known as G.P.

How to find sum of G.P.?

We have been given a sequence as 3/2+3/4+3/8+3/16+.....

If we carefully see the sequence then we will find that this sequence is a Geometric progression because there is a common ratio between all the terms that is 1/2.

Ratio of first and second term=3/4/3/2=1/2

We know that Sum of GP when n<1 is [tex]a(1-r^{n} )/1-r[/tex]

we have to just put the value of =3/2 and r=1/2 in the above formula.

[tex]S_{n}[/tex]=3/2(1-[tex]1/2^{n}[/tex])/1-1/2

=3/2(1-[tex]1/2^{n}[/tex])/1/2

=3*2/2(1-[tex]1/2^{n}[/tex])

=3(1-[tex]1/2^{n}[/tex])

Hence the expression which denotes [tex]S_{n}[/tex] is 3(1-[tex]1/2^{n}[/tex]).

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Maya’s chocolate is 59% cocoa. If the weight of the Chocolate bar is 93 grams, how many grams cocoa does it contain? Round your answer to the nearest tenth.

Answers

Answer:

54.9 because it is the answer

Answer:

= 54.9g

Step-by-step explanation:

You must find 59% of 93g

50% = 46.5g

1% = 0.93g

9% = 8.37g

46.5+8.37=54.87g

rounded = 54.9g

Hurry no links pls Leila has wo boxes of juce pops with
an equal number of pops in each box
(24 lota) There are equal amounts of
the four flavors: grape, me, cherry, and
berry. Find the probabilily of randomly
selecting a grape juice pop from the first
box and randen y selecting a juice pop
from the second box that is not cheny?

Answers

Answer:

Probability of selecting a grape juice pop from the first box: 25%

Probability of not selecting a cherry juice pop from the second box: 75%

Probability of them both occurring: 18.75%

Step-by-step explanation:

Disn
Which expression is equivalent to 15 + 3x?
OA 3 (5+x)
OB. 5 (3+x)
OC. 3(5 + 3x)
D. 5(3 + 3x)

Answers

Answer:

A

Step-by-step explanation:

3(5+x)

3(5)+3(x)

15+3x

If m < JKN = 28° and m < KLM = 103°, find m < JML.

Answers

Answer:

152

Step-by-step explanation:

The required measure of the angle ∠JML  is given as 98°.

What is quadrilateral?

A quadrilateral is a four-sided shape as given in the picture in question.

Here,
∠KLM = ∠MJK = 103°
∠ JKL = 2×28 = 56°

The required measure of the ∠JML is given as,
A quadrilateral has 4 angles. The sum of its interior angles is 360 degrees. So the sum of the angle of the kite is equal to 360°

∠KLM + ∠ JKL + ∠MJK + ∠ JML = 360

103 + 56 + 103 + ∠JML = 360
∠JML = 98°

Thus, the required measure of the angle ∠JML  is given as 98°.

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What is the surface area of the sphere below?
5
2.5
A. 1257 units2
B. 1007 units2
C. 12573 units2
O
D. cannot be determined

Answers

Here's the solution :

In a sphere,

[tex] \boxed{ \mathsf{surface \: \: area = 4\pi {r}^{2} }}[/tex]

now, let's solve :

[tex]s = 4 \times \pi \times 5 \times 5[/tex][tex]s = 100\pi[/tex]

hence, correct answer is B. 100π unit²

The surface area of the sphere is 100 π unit².

The correct option is B.

What is Surface area?

The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface. Square units are used to measure it as well.

We have,

Radius of Sphere= 5 unit

Now, the formula for Surface area of Sphere is

= 4πr²

= 4 (3.14) (5)(5)

= 4 x 3.14 x 25

= 314

= 10 π unit²

Thus, the Surface area is 10 π unit².

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