In a filling line at A & C Foods, Ltd., the mean fill volume for rice bubbles is 475 grams and the standard deviation is 10 grams. The design specifications are [450, 495] grams. Any output outside of design specifications is treated as non-conforming. (1) Calculate the dpmo of the process (by calculating the area of non-conformance). Please type your answer in integers.

Answers

Answer 1

Answer:

The dpmo of the process is of 29000

Step-by-step explanation:

Dpmo of a process:

The dpmo of a process is the number of defects per million opportunities.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

First, using the normal distribution, we calculate the proportion of defective bubbles. Then, using this proportion, we calculate the dpmo.

Mean fill volume for rice bubbles is 475 grams and the standard deviation is 10 grams.

This means that [tex]\mu = 475, \sigma = 10[/tex]

The design specifications are [450, 495] grams. Any output outside of design specifications is treated as non-conforming.

Below 450 and Above 495 are non-conforming.

Below 450:

The proportion is the pvalue of Z when X = 450. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{450 - 475}{10}[/tex]

[tex]Z = -2.5[/tex]

[tex]Z = -2.5[/tex] has a pvalue of 0.0062

Above 495:

The proportion is 1 subtracted by the pvalue of Z when X = 495. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{495 - 475}{10}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

1 - 0.9772 = 0.0228

The proportion of defectives is 0.0228 + 0.0062 = 0.0290

Dpmo:

Number of defects per million, that is, the proportion multiplied by 1000000.

1000000*0.0290 = 29000

The dpmo of the process is of 29000


Related Questions

Lines I and m are intersected by transversal t, and I || m.

If m <3 = 126', what is m<5?

Answers

Answer:

54 Degrees

Step-by-step explanation:

<5 is going to be whatever 180-<3 is.

Answer:

your answer: m<5=54 degree

Step-by-step explanation:

hope it helps u

have a great day !!

The question above...

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Answer:

Supplementary Angles

Step-by-step explanation:

Two (or more) angles whose

sum is 180°

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Answer:

[tex]Area = 8\ unit^2[/tex]

Step-by-step explanation:

Given

The 7 * 3 grid

Required

Determine the area of the shaded

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Since 1 grid cell = 1 unit.

The area is:

[tex]Area = 4\ unit * 2\ unit[/tex]

[tex]Area = 8\ unit^2[/tex]

Trevor wants a life insurance policy with a cash feature and one he can change the death benefits of without having to get a new policy. What type of policy best fits this scenario

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Answer:

un death somthing

Step-by-step explanation:

Is ABC ~ DEF? If so, identify the similarity postulate or theorem that applies

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Answer:

C) similar   AA

Step-by-step explanation:

What does X and Y equal?

Answers

Answer:

X= 67

Y= 6

Step-by-step explanation:

Triangle TRU is an equilateral triangle which means all sides are equal.

Triangles sum up to 180°.

180/3= 60

60+7= 67

x=67

Triangle TRS is an isosceles triangle which means it has two equal sides.

Triangles sum up to 180°.

180-60= 120

TRS= 120°

60/2= 30°

RTS=  30°

RST=  30°

30/5= 6

y= 6

Jack has 1 3/5 cups of yogurt to make smoothies. Each smoothie uses 2/5 How many smoothies can Jack make with the yogurt?

Answers

Answer:

Step-by-step explanation:

(1 3/5)/(2/5)

(8/5)/(2/5)

(8/5)(5/2)

40/10

4

1 3/5 = 8/5
2/5x4 =8/5
It is 4 cups

Find the area of the triangle below.
Be sure to include the correct unit in your answer.

Answers

Answer:

Area= 1/2bh

= 1/2 ( 16)(6)

=48 square yard.

WILL MARK BRAINLIEST! Solve for X on the provided picture. Thank you!

Answers

A. 90°

yeah yeah dababy car dababy

Answer:

Step-by-step explanation:

x + (180-140) + (180-132) = 180

x = 92°

Janie walks 1 mile to get to a running track.she then runs at a speed of 3.5 miles per hour.Which linear models represents the total distance she ran and walked, d, as a function of t, the time she runs,in hours?

Answers

Answer:

d = 3.5t + 1

Step-by-step explanation:

The linear function would have to multiply the speed she runs at the track by the number of hours that she spent running. Then it should add this amount to the 1 mile that she walked to get to the track. If we use the variable d as the total distance that she ran and walked, and the variable t to represent time then we would create the following linear function/model.

d = 3.5t + 1

which expression is another way to write the expression shown here
5a+ 5b+ 5c+ 5d
5abcd
5a+bcd
5(a+b+c+d
(5a)(5b)(5c)(5d)

Answers

Answer:

5(a+b+c+d)

Step-by-step explanation:

this is correct another way of writing this expression

because 5 is common to all and we can put it out

hope it helps

What is the measure of A.70
B.20
C.110
D.140

Answers

Answer:

complementary angles sum to 90° 90° - 70° = 20° complementary of 70° is 20°

i need help. i don't understand ​

Answers

Answer:

The 20-count batteries have a lower unit price of $0.76 per battery

Step-by-step explanation:

Unit price means how much does it cost if you buy one of the item. To calculate this take the amount of money it cost and divide by the amount of object you have.

In the case of this question we know that you can buy 8 batteries for $6.16 and 20 batteries for $15.20. Let's find the unit cost (how much for one battery) for each of these packs. To calculate that we can take $6.16/8 batteries = $0.77 per battery for the 8 pack and $15.20/20 = $0.76 per battery for the 20 pack. Therefore, the 20-count batteries have a lower unit price of $0.76 per battery.

Use the GCF to factor:
25 + 40​

Answers

The answer would be the number 5

The sum of two numbers is 44. One number is 3 times as large as the other. What are the numbers?
Larger number:
0
Smaller number: 0
Х
5
?
Exp
Recheck
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O
The sum of two numbers is 44. One number is 3 times as large as the other. What are the numbers

Answers

Your numbers are 11 and 32

We know that:
a + b = 44
and
a = 3b

If we substitute “3b” in for a in the first equation, we get a numerical value for b

3b + b = 44
4b = 44
b = 11

Then we substitute the numerical value of b to solve for a:
a = 3b
a = 3(11) = 33

What is an equation of the line that passes through the points (7,4) and (-5,4)

Answers

Answer:

y=4

Step-by-step explanation:

ASAP!! Which graphs have same domain?
Graphs 1 and 2
Graphs 1 and 3
Graphs 2 and 3
Graphs 1, 2, and 3

Answers

Graph 1 and 3 have the same domain

Answer:

B

Step-by-step explanation:

What are the factors of 12z

Answers

The factors are 2,3,4,6,12

You allowed to eat 11 bananas and you have already eaten 4. Find the possible amount of bananas you can eat today

Answers

Answer:

7

Step-by-step explanation:

11-4=7

11

-

 4

____

7

So 1-4 you cant do so you to the left number which is 1 take it back and now it is 11-4 you add 10 so then the left number you cant use anymore so then its 11-4 which is 7.

A bicycle tire of radius 0.40 m and mass 1.7kg is rotating at 62.9 rad/s.
What torque is necessary to stop the tire in 2.2 s?
Answer in units of N · m.
These are the last of my points, I have been scammed by people twice, someone please help me, this is actually physics but the scammers love physics.

Answers

T = taw

T = m r² ( w₂-w₁) / t

T = 1.7 × (0.40)² (0-62.9) / 2.2

T = 1.7 × 0.16 × -62.9 / 2.2

T = -17. 11 / 2.2

T = - 7.77 N.m

Decide if the expression is positive or negative. Explain in words how you know, please.


11/-3 and -11/-3

Answers

Answer:

The expression is negative

Step-by-step explanation:

11/-3 is negative

-11/-3 is positive

negative + positive or positive + negative =  negative

Helppppppp show your work

Answers

Answer:

No solution

Step-by-step explanation:

x+5x+4=3(2x-1)

First off, rearrange:

6x+4=6x-3

The '6x's cancel out (4=-3, incorrect), which means the equation has no solution.

Which expression is equivalent to 39 + 91?


3(7 + 13)
3(13 + 30)
7(3 + 13)
13(3 + 7)

Answers

Answer:

The last one is the answer

Step-by-step explanation:

39+91=130

13(10)=130

130=130

Answer:

13(3 + 7)

Step-by-step explanation:

First do 3 + 7 and that is 10.

Then do 10 x 13 and that is 130.

Finally compare 91 + 39 = 130 to 13(3 + 7)

Factor the following: 18X - 6

6 (3x - 1)
18 (x - 1)
9 (2x - 4)
I need the answer NOW

Answers

Answer:

Answer is 6(3x-1)

Step-by-step explanation:

I hope it's helpful!

Houa has an action figure collection. She keeps some in a display case and the rest on
the wall. 82 of her action figures are on the wall, and 59% of her action figures are in the display case. What is the total number of action figures in Houa's collection?

Answers

Answer:

200 action figures

Step-by-step explanation:

Given

[tex]Wall = 82[/tex]

[tex]Display\ Case = 59\%[/tex]

Required

Total action films

If 59% is on a display case, then 4!% is on the wall. Let the total be x.

So, we have:

[tex]Wall = 41\% * x[/tex]

Substitute 82 for Wall

[tex]82= 41\% * x[/tex]

[tex]82= 0.41 * x[/tex]

[tex]200= x[/tex]

[tex]x = 200[/tex]

The hypotenuse of a triangle measures 20.75 in., and one of the legs measures 17 in, what is the approximate length of the other leg of the triangle?

Answers

11.9 inches to 1 decimal place

SA = 2tr2 + 2trh (Use 3.14 for .) How much metal is needed to create a cylindrical can with a height of 5 inches and a base diameter of 3 inches? square inches Do NOT round your answer.​

Answers

Answer:

[tex]SA=61.26\ \text{inches}^2[/tex]

Step-by-step explanation:

The surface area of a cylinder is given by :

[tex]SA=2\pi r^2+2\pi rh[/tex]

Where

r is radius and h is height of the cylinder

We have, h = 5 inches and r = 3/2 = 1.5 inches

Put all the respected values.

[tex]SA=2\pi \times (1.5)^2+2\pi \times 1.5\times 5\\\\SA=61.26\ \text{inches}^2[/tex]

So, the surface area of the cylinder is equal to [tex]61.26\ \text{inches}^2[/tex].

Answer:

Answer: 61.23 / {I'm right trust me Acellus 2022}

Step-by-step explanation:

how much metal is needed to create a cylindrical can with a height of 5 inches and a base diameter of 3 inches

Am I doing this right?

Answers

Answer:

Yes you are

You very much are doing the right thing

Two quantities are proportional if they vary and have a constant ratio or unit rate.
O True
O False
Please only answer if you know the answer

Answers

i think true but i could be so wrong

For the figure below, give the following.
(a) one pair of angles that form a linear pair
(b) one pair of vertical angles
(c) one pair of angles that are supplementary

Answers

Answer:

hope it helps you

have a great day!!

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