C-Spec, Inc., is attempting to determine whether an existing machine is capable of milling an engine part that has a key specification of {eq}4 \pm 0.003 {/eq} inches. After a trial run on this machine, C-Spec has determined that the machine has a sample mean of 4.001 inches with a standard deviation of 0.002 inch.
a. Calculate the {eq}C_{pk} {/eq} for this machine
b. Should C-Spec use this machine to produce this part? Why?

Answers

Answer 1

Answer:

Step-by-step explanation:

Given that :

sample mean = 4.001 inches

sample standard deviation = 0.002 inch

a.

[tex]C_{pk} = min [\dfrac{(USL- \bar X)}{(3*std \ dev)} \ ; \ \dfrac{ (\bar X- LSL)}{(3*std \ dev)}][/tex]

specification = [tex]4 \pm 0.003[/tex]

Upper specification limit USL = 4 + 0.003  = 4.003

Lower specification limit LSL =  4 - 0.003 = 3.997

[tex]\dfrac{ (\bar X- LSL)}{(3*std \ dev)} = \dfrac{ (4.001-3.997)}{(3*0.002)}[/tex]  [tex]= 0.667[/tex]

[tex]\dfrac{(USL- \bar X)}{(3*std \ dev)} =\dfrac{(4.003-4.001)}{(3*0.002)}[/tex][tex]= 0.333[/tex]

Thus ;

[tex]C_{pk} =[/tex][tex]min (0.333 , 0.667)[/tex]  = 0.333

[tex]C_{pk}[/tex]  is a measure of closeness to one's target and the consistency around the average performance.

b) No, C - spec should not use this machine to produce this part because [tex]C_{pk}[/tex] <  1.33 which typical means that the part is not fully capable of hitting the target specification on a consistent basis .


Related Questions

Based on the two articles you have read, how might Google's mission to give
everyone access to as much information as possible make it easier to violate
a person's Fourth Amendment rights?
A. A person's personal information would be almost impossible to
find
B. People would be able to find information faster
C. The government might have access to a person's private
information making it easier to conduct warrantless searches and
seizures
O D. Business would be able to place ads relevant to what person typed
in a search engine,

Answers

The article shows that it may make it easier for the government to have access to a person's private information and to conduct unwarranted searches and seizures.

What are a person's Fourth Amendment rights?

A person's Fourth Amendment rights is related to the right of an individual to be protected from unwarranted searches and seizures by the government.

According to the articles, Goo_gle's mission is to give

everyone access to as much information as possible.

This however would make it easier for a person's personal belongings or private information to be a target of government officials.

Therefore, Goo_gle's mission may make it easier for the government to have access to a person's private information making it easier to conduct unwarranted searches and seizures.

Learn more about Fourth Amendment rights at: https://brainly.com/question/17104412

help fast timed plss!!

Answers

Answer:

Top to Bottom:

2nd Parallelogram

2nd Trapezoid

Triangle

1st Parallelogram

1st Trapezoid

Step-by-step explanation:

1. Trapezoid: 40

2. Triangle: 30

3. Parallelogram: 32

4. Trapezoid: 28

5. Parallelogram: 24

P.S. Sorry I took to Long

The coach of a college basketball team records the resting pulse rates of the team's players. A confidence interval for the mean resting pulse rate of all collegians based on these data is of little use because __________.
A) the sample size is small, so the margin of error will be large.
B) the members of the basketball team can't be considered a random sample from the entire collegiate population.
C) many of the students on the team may refuse to respond.
D) the coach has sampled the entire population so there is no need for inference.

Answers

Answer:

B) the members of the basketball team can't be considered a random sample from the entire collegiate population.

Step-by-step explanation:

The coach is trying to estimate a parameter of a population (the mean resting pulse rates of alla collegians) from a sample statistic (the mean resting pulse of the basketball team's players).

The confidence interval for the parameter is of little use as the sample of team players is not representative of the population of collegians. The sample can not be considered random. Then, the estimation of the parameter will be biased.

The fraction, in hundredths,that is equivalent to 9/10

Answers

Answer:

9/10 is equivilent to 0.900

Step-by-step explanation:

Estimate the product :23. 8 × 349

Answers

Answer:

8400

Step-by-step explanation:

Round them to their nearest whole:

23.8 x 349

24 x 350

We then use what we rounded and answer...

24 x 350 estimated to 8400

Answer:

6000

Step-by-step explanation:

23.8 - 20

349 - 300

20 times 300 = 6000

can you put this in order 2, 10, 9, -10, -9, -8, -7, -6, -5 -4, 0,

Answers

ORDER FROM LEAST TO GREATEST:

-10, -9, -8, -7,-6, -5, -4, 0, 2, 9, 10.

Hey there!

When we have negative numbers, we might count like this: ....-5,-4,-3,-2,-1,0,1,2,3....

As you can see, the negative number is known as greater if it is closer to zero, so -1 is greater than -100.

With this information, let's order these numbers! :)

-10,-9,-8,-7,-6,-5,-4,0,2,9,10

I hope that this helps!

ill used 5⁄6 cup of flour and 1⁄3 cup of sugar. How much more flour than sugar did Jill use in her recipe?

Answers

Answer:

5/6 - 1/3 = 5/6 - 2/6 = 3/6 = 1/2 more cups of flour. Hope this helps!

Answer:

1/3 x 2/2 = 2/6

5/6 - 2/6 = 3/6

3/6 / 3/3 = 1/2

1/2 more flour than sugar

Hope this helps. If you have any questions you can ask.

Step-by-step explanation:

What is the quotient of 38 and 23?

Answers

Answer:

im not sure if your doing it by 38 dividend by 23 but i got 1.652174.......idk really im doing the same question lol.

Step-by-step explanation:

Write an expression using numbers and variables for each expression below.
Example: 10 less than the product of 15 and c 150 - 10
A number d is decreased by 5 and then doubled.

Answers

Answer:

a number x is multiplied by 4 then increased by 2

Step-by-step explanation:

4x+2

Please help quickly !!!!!!

Answers

Answer:

You should be able to figure this out from the explanation below.

Step-by-step explanation:

When two lines cuts across each other they form.what we call.vertically opposite angles so from the figure above, we can say:

Look at the diagram below for more understanding of the concept.

Answer: 77 degrees

Step-by-step explanation:

Use Theorem "measure of the angle is the average of the measures of the arc

(a=b+c/2)

a=x

b=76

c=78

Set up your equation, X=76+78/2

=77

Hope this heeelps~!!

-Michiko

Jackie loves to cook fried foods. She recorded the total amount of oil that she used each month in the table below. In January she used 3/5 of the amount of oil that she used in February Fill in the amount of oil that Jackie used in January in the table below

Answers

Answer: 2/5

Step-by-step explanation:

For Zoey's lemonade recipe, 7 lemons are required to make 14 cups of lemonade. At what rate are lemons being used in lemons per cup of lemonade

Answers

Answer:

1 lemon = 2 cups of lemonade

Step-by-step explanation:

represents the
Which equation best
relationship between x and y shown in
the table?

Answers

Answer:

Step-by-step explanation: It’s C, So you just plug it in basically. y = 4x + 1, for example let’s use the third column y = 4(2) + 1, equals 9. You just repeat it in all the other columns and you equal y. So it’s C, y = 4x + 1

Looking at Morningstar’s Financial Health ratios, what has happened to HP’s liquidity position over the past 10 years?

Liquidity/Financial Health
2010-10
2011-10
2012-10
2013-10
2014-10
2015-10
2016-10
2017-10
2018-10
2019-10
Latest Qtr

Current Ratio
1.10
1.01
1.09
1.11
1.15
1.23
0.98
1.00
0.85
0.80
0.73

Quick Ratio
0.78
0.58
0.79
0.80
0.83
0.92
0.69
0.68
0.55
0.53
0.48

Financial Leverage
3.07
3.35
4.85
3.88
3.86
3.85






Debt/Equity
0.38
0.58
0.97
0.60
0.60
0.78




Answers

Answer:

Step-by-step explanation:

Huh lol ok

Written expression for the sum of d and 9

Answers

Hey!!

Here's your answer:

Answer:d+9

Hope it will help you....

Good luck on your assignment

ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.

Answers

Answer:

B

Step-by-step explanation:

The -1/3 stretched it and reflect it to x axis, then the 4 moved it to the left

it took 4 hours to clean 10 houses, how many houses could be cleaned in 8 hours?

Answers

Answer:

3 1/2 houses

Step-by-step explanation:

To find the unit rate we must divide 4 by 10

4 hours divided by 10 house = 1/4

1/4 houses per hour

8 hours times 0.4= 3.2 houses

Answer:

20 houses

Step-by-step explanation:

Let’s make a proportion using this setup:

houses/hours=houses/hour

We know that 10 houses can be cleaned in 4 hours. We don’t know how many houses can be cleaned in 8 hours, so we can say x houses can be cleaned in 8 hours.

10 houses/4 hours= x houses/8 hours

10/4=x/8

Now we have to solve for x, by getting x by itself. Perform the opposite of what is being done to both sides.

x is being divided by 8. The opposite of division is multiplication, so multiply both sides by 8

8(10/4)=(x/8)8

8(10/4)=x

8(2.5)=x

20=x

20 houses can be cleaned in 8 hours.

PLEASE HELP?

Which of the following inequalities is true according to the number line?

Answers

Answer:

a

Step-by-step explanation:

a marble is drawn at random from a bag which contains nine yellow marbles and six white marbles . Find the probability of white marble?

Answers

Answer:

2/5

Step-by-step explanation:

A quadrilateral has 4right angles and 2 pair of opposite sizes that are parallel. What quadrilateral could be

Answers

Answer:

parllelogram

Step-by-step explanation:

............

What’s the correct answer for this?

Answers

Answer:

a) the co-ordinates of the center are (-3,4) and the length of the radius is 10 units

Center (h,k) = (-3 ,4) and radius 'r' = 10

Step-by-step explanation:

Step(i):-

Given circle equation is

  [tex]2 x^{2} +12 x+2 y^{2} -16 y-150 =0[/tex]

Dividing "2' on both sides, we get

[tex]x^{2} +6 x+ y^{2} -8 y-75 =0[/tex]

Step(ii):-

now

[tex]x^{2} +2(3x) + (3)^{2}-(3)^{2} +y^{2} -2 (4 y)+(4)^{2}-(4)^2 -75 =0[/tex]

by using (a+b)² =a²+2 a b+b²

              (a-b)² =a²-2 a b+b²

[tex](x+3)^{2}-(3)^{2} +(y-4)^{2}-(4)^2 -75 =0[/tex]

[tex](x+3)^{2}-9 +(y-4)^{2}-16 -75 =0[/tex]

[tex](x+3)^{2} +(y-4)^{2}-100 =0[/tex]

[tex](x+3)^{2} +(y-4)^{2}=100[/tex]

[tex](x+3)^{2} +(y-4)^{2}=(10^2)[/tex]

by comparing

[tex](x-h)^{2} +(y-k)^{2}=(r^2)[/tex]

Final answer:-

Center (h,k) = (-3 ,4) and radius 'r' = 10

The value of a certain car decreases by 16% each year. What is the 1⁄2-life of the car?

Answers

Answer:

The half life of the car is 3.98 years.

Step-by-step explanation:

The value of the car after t years is given by the following equation:

[tex]V(t) = V(0)(1-r)^{t}[/tex]

In which V(0) is the initial value and r is the constant decay rate, as a decimal.

The value of a certain car decreases by 16% each year.

This means that [tex]r = 0.16[/tex]

So

[tex]V(t) = V(0)(1-r)^{t}[/tex]

[tex]V(t) = V(0)(1-0.16)^{t}[/tex]

[tex]V(t) = V(0)(0.84)^{t}[/tex]

What is the 1⁄2-life of the car?

This is t for which V(t) = 0.5V(0). So

[tex]V(t) = V(0)(0.84)^{t}[/tex]

[tex]0.5V(0) = V(0)(0.84)^{t}[/tex]

[tex](0.84)^{t} = 0.5[/tex]

[tex]\log{(0.84)^{t}} = \log{0.5}[/tex]

[tex]t\log{0.84} = \log{0.5}[/tex]

[tex]t = \frac{\log{0.5}}{\log{0.84}}[/tex]

[tex]t = 3.98[/tex]

The half life of the car is 3.98 years.

How much is 3 times 4

Answers

Answer:

3×4 = 12!

TWO WAYS TO LOOK AT IT:

(A) 3 groups of 4!

(B) 4 groups of 3 apples!

Excuse me can you help me to resolve this (×+5) (4x-3)=0

Answers

Answer: x = 3/4 x = -5

Step-by-step explanation:

x+5=0

x=-5

4x-3=0

Add three to both sides

4x = 3

x=3/4

Susan paid $240 to have her house decorated. The materials used to decorate the house coast $115, and service was charged at $5 an hour. How many hours was the house worked on?

Answers

Answer:

[tex] 240 =5x +115[/tex]

And we can solve for x in order to find the number hours using to decorate the house.

We can subtract in both sides 115 and we got:

[tex] 240-115= 5x[/tex]

[tex] 125 = 5x[/tex]

And now we can divide both sides by 5 and we got:

[tex] x= 25[/tex]

So then the number of hours spent to decorate the house are 25

Step-by-step explanation:

Based on the information given we can model this function with this formula:

[tex] y = mx+b[/tex]

Where y represent the total cost paid, m the cost per hour representing the slope and x the number of hours worked and finally b the initial cost for the materials. Then our function is given by:

[tex] 240 =5x +115[/tex]

And we can solve for x in order to find the number hours using to decorate the house.

We can subtract in both sides 115 and we got:

[tex] 240-115= 5x[/tex]

[tex] 125 = 5x[/tex]

And now we can divide both sides by 5 and we got:

[tex] x= 25[/tex]

So then the number of hours spent to decorate the house are 25

In a right triangle, the measure of theta = 43 degrees and the side opposite to the measure of theta is 6.5 cm long. The length of the side adjacent to the measure of theta is approximately

Answers

We have been given that in a right triangle, the measure of [tex]\theta = 43^{\circ}[/tex] and the side opposite to the measure of theta is 6.5 cm long. We are asked to find the length of adjacent side to the angle theta.

We know that tangent relates opposite side of right triangle adjacent side.

[tex]\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]

[tex]\text{tan}(43^{\circ})=\frac{6.5}{\text{Adjacent}}[/tex]

[tex]\text{Adjacent}=\frac{6.5}{\text{tan}(43^{\circ})}[/tex]

[tex]\text{Adjacent}=\frac{6.5}{0.932515086138}[/tex]

[tex]\text{Adjacent}=6.9703966[/tex]

[tex]\text{Adjacent}\approx 6.97[/tex]

Therefore, the length of adjacent side to angle theta is approximately 6.97 units.

In triangle ABC angle a equals 72° side C equals 61 and angle B equals 16° find side a to the nearest 10th

Answers

Answer:

  58.0 units

Step-by-step explanation:

In order to use the law of sines, we need to know angle C. It will be the angle that brings the total of all angles to 180°.

  C = 180° -A -B = 180° -72° -16°

  C = 92°

The law of sines tells us ...

  a/sin(A) = c/sin(C)

  a = c·sin(A)/sin(C) = 61·sin(72°)/sin(92°)

  a ≈ 58.0 . . . . units

Which inequality has -25 in its solution set?
A. y + 11 > -9
B. y - 17 Less-than-or-equal-to -46
C. 30 Less-than-or-equal-to y + 5
D. y + 20 > -30

Answers

Answer: The answer is D: y + 20 > -30

Step-by-step explanation:

I got this right on edgen.

Have a good day!! #BLM <3

PLEASE HELP
( velocity - on a graph )

Answers

Answer:

a) v_avg = k

b) 0.034 km/h

Step-by-step explanation:

a) The average velocity is given by the displacement over the time:

[tex]v_{avg}=\frac{\Delta x}{\Delta t}[/tex]   (1)

Δx is the area under the line. In this case you can consider two areas. Firs, from t=0 t0 t=30 and from t=30 to t=50:

S1 = 30k

S2 = 20k/2 = 10k

Then, the total surface is:

S = S1+S2 = 50k

The average speed is:

v_avg = (50k)/(50s)= k

b) The value of k can be determined by using the expression for the total area under the line, which is the total displacement of the car S=1.7 km:

S=50k=1.7km

k=(1.7km)/(50k)=0.034km/h = 34 m/h

Can someone help me with is

Answers

Answer:

It is not equivalent

Step-by-step explanation:

Because the first expression simplified is 3x with the power of 9, and the first expression simplifies to x with a power of 9.

Answer:

No, they are not equivalent.

Step-by-step explanation:

In the case of the first expression: x³ * x³ * x³, you will solve the power first, before multiplying the whole numbers.

However, in terms of the second one, you are multiplying the powers first, and then solving for the power.

Take for example, x = 2. Plug in 2 for x in the expressions given:

x³ * x³ * x³ = 2³ * 2³ * 2³ = 8 * 8 * 8 = 64 * 6 = 512

However,

2^(3 * 3 * 3) = 2^(27) = 134,217,728

~

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