A company making tires for bikes is concerned about the exact width of their cyclocross tires. The company has a lower specification limit of 22.8 mm and an upper specification limit of 23.2 mm. The standard deviation is 0.15 mm and the mean is 23 mm. (Round your answer to 4 decimal places.) What is the process capability index for the process

Answers

Answer 1

Answer:

For this process, the capability index is 0.4444

Step-by-step explanation:

Given the data in the question;

Lower specification limit = 22.8 mm

Upper specification limit = 23.2 mm

The standard deviation σ = 0.15 mm

Mean μ = 23

capability index Cpk = ?

Now, Using the formula;

Cpk = min{ [(USL - μ)/3σ], [(μ - LSL)/3σ]

where USL is the Upper specification limit, LSL is the Lower specification limit, σ is the standard deviation, μ is the mean

so we substitute

Cpk = min{ [(23.2 - 23 )/(3×0.15)], [(23 - 22.8)/(3×0.15)] }

Cpk = min{ [0.2 / 0.45 ], [0.2 / 0.45] }

Cpk = min{ [ 0.4444 ], [0.4444] }

Therefore, for this process, the capability index is 0.4444


Related Questions

3х2+9х+6
Foil method of

Answers

Answer:

3(4+3x)

Step-by-step explanation:

See Image below.

Which is the best estimate for the weight of a bicycle?
A. 2 ounces
B. 2 pounds
C. 20 ounces
D. 20 pounds

Answers

Answer:

B

Step-by-step explanation:

i know this already from another

ANSWER: B
Explanation: The dude above me

What is the area of this square?
A= 12
B= 48
C= 72
D= 144

No links, docs, files, drives etc
I will mark the correct answer brainlyest
You earn many points​

Answers

Answer: D) 144 square cm

========================================================

Explanation:

A square has all four sides that are the same length. So all four sides are 12 cm

area = side*side = 12*12 = 144 cm^2

Or you could say

area = (side)^2 = (12)^2 = 144 cm^2

Squaring a number is the same as multiplying it by itself. Hence the name "square" refers to a side length pairing up with its corresponding area value.

---------

Side note: The perimeter is 4*(side) = 4*12 = 48 cm. It's possible that choice B is put in there as a trick answer.

B

If you do 4x12 you will end up with 48

PLEASE HELP!!!!!!!!!!!

Answers

Answer:

I think it's 18

Step-by-step explanation:

because I'm looking at 12/8 to be a ratio, that means that the size of the bigger figure had decreased by 12/8 or 1.5

then I divided the 27 by 1.5 to get the area of the small one which was 18.

Select two equations of lines that are perpendicular to the line whose equation is x + 5y = 50. I need help please.

Answers

Answer:

[tex]y = 5x + 1[/tex] and [tex]y = 5x + 2[/tex] are two equations of lines that are perpendicular to the line whose equation is x + 5y = 50.

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

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

In which m is the slope and b is the y-intercept.

Perpendicular lines:

If two lines are perpendicular, the multiplication of their slopes is -1.

In this question:

The equation of the line is:

[tex]x + 5y = 50[/tex]

Placing in the standard format:

[tex]5y = -x + 50[/tex]

[tex]y = -\frac{x}{5} + 10[/tex]

The slope is [tex]-\frac{1}{5}[/tex]

Slope of the perpendicular lines:

[tex]-\frac{m}{5} = -1[/tex]

[tex]m = 5[/tex]

So

[tex]y = 5x + b[/tex]

Attributing two values to b:

[tex]y = 5x + 1[/tex] and [tex]y = 5x + 2[/tex] are two equations of lines that are perpendicular to the line whose equation is x + 5y = 50.

the ratio of length and breadth of a room is 4:3. If the room is 12 m long. Find is breadth​

Answers

Answer:

Step-by-step explanation:

ratio of length to breadth=4:3

let breadth be x m

4/3=12/x(do cross multiplication)

3*12=x*4

36=4x

36/4=x

9=x

therefore breadth= 6m

A book which was bought for Rs.100 was sold at Ra.90 what will be the loss percent?​

Answers

Answer:

10% or 1%

Step-by-step explanation:

i swear u better not remove this

Helpppppppppppppppp meeeeeeeeeeee plssssssssssssssssss

Answers

Answer:

A: NO

B: YES

C: NO

D: NO

Step-by-step explanation:

Answer:

A. No
B. Yes
C. No
D. No

Explanation: Have an amazing day!!

I need help with the solutions for 19,20,21 thank you

Answers

Answer:

GIVEN :-

Coordinates of points are :-

(-5 , 12)(2 , 8)(3 , -6)

TO FIND :-

All the trigonometric values of given points

FACTS TO KNOW BEFORE SOLVING :-

It's important to know that :-

In 1st quadrant (0° to 90°) , all the trigonometric values are positive .In 2nd quadrant (90° to 180°) , except sin & cosec , rest all trigonometric values are negative.In 3rd quadrant (180° to 270°) , except tan & cot , rest all trigonometric values are negative.In 4th quadrant (270° to 360°) , except cos & sec , rest all all trigonometric values are negative.

SOLUTION :-

Q1)

Plot (-5,12) on the cartesian plane and name it 'A'Drop a perpendicular to x-axis from 'A' and name the point 'B' where the perpendicular meets x-axis.Join the point A with the origin 'O'.

You'll notice a right-angled ΔABO formed (∠B = 90°) in the 2nd quadrant of the plane whose :-

length of perpendicular of triangle (AB) = 12 unitslength of base of triangle (OB) = 5 unitslength of hypotenuse (OA) = 13 units

Let the angle between OA & positive x-axis be θ.

⇒ ∠AOB = 180 - θ

So ,

[tex]\sin (AOB) = \sin(180 - \theta) = \sin \theta = \frac{12}{13}[/tex][tex]\cos(AOB) = \cos (180 - \theta) = -\cos \theta = -\frac{5}{13}[/tex][tex]\tan(AOB) = \tan(180 - \theta) = -tan \theta = -\frac{12}{5}[/tex][tex]\csc(AOB) = \csc(180 - \theta) = \csc \theta = \frac{1}{\sin \theta} = \frac{13}{12}[/tex][tex]\sec(AOB) = \sec(180 - \theta) = -\sec \theta = -\frac{1}{\cos \theta} = -\frac{13}{5}[/tex][tex]\cot(AOB) = \cot(180 - \theta) = -\cot \theta = -\frac{1}{\tan \theta} = -\frac{5}{12}[/tex]

Q2)

Plot (2,8) on the cartesian plane and name it 'A'Drop a perpendicular to x-axis from 'A' and name the point 'B' where the perpendicular meets x-axis.Join the point A with the origin 'O'.

You'll notice a right-angled ΔABO formed (∠B = 90°) in the 1st quadrant of the plane whose :-

length of perpendicular of triangle (AB) = 8 unitslength of base of triangle (OB) = 2 unitslength of hypotenuse (OA) = 2√17 units

Let the angle between OA & positive x-axis be θ.

⇒ ∠AOB = θ

So ,

[tex]\sin(AOB) = \sin \theta = \frac{8}{2\sqrt{17} } = \frac{4}{\sqrt{17} }[/tex][tex]\cos(AOB) = \cos \theta = \frac{2}{2\sqrt{17}} = \frac{1}{\sqrt{17}}[/tex][tex]\tan(AOB) = \tan \theta = \frac{8}{2} = 4[/tex][tex]\csc(AOB) = \csc \theta = \frac{1}{\sin \theta} = \frac{\sqrt{17}}{4}[/tex][tex]\sec(AOB) = \sec \theta = \frac{1}{\cos \theta} = \sqrt{17}[/tex][tex]\cot (AOB) = \cot \theta = \frac{1}{\tan \theta} = \frac{1}{4}[/tex]

Q3)

Plot (3,-6) on the cartesian plane and name it 'A'Drop a perpendicular to x-axis from 'A' and name the point 'B' where the perpendicular meets x-axis.Join the point A with the origin 'O'.

You'll notice a right-angled ΔABO formed (∠B = 90°) in the 4th quadrant of the plane whose :-

length of perpendicular of triangle (AB) = 6 unitslength of base of triangle (OB) = 3 unitslength of hypotenuse (OA) = 3√5 units

Let the angle between OA & positive x-axis be θ . [Assume it in counterclockwise direction].

⇒ ∠AOB = 360 - θ

So ,

[tex]\sin(AOB) = \sin(360 -\theta) = -\sin \theta = -\frac{6}{3\sqrt{5} } = -\frac{2}{\sqrt{5} }[/tex][tex]\cos(AOB) = \cos(360 - \theta) = \cos \theta = \frac{3}{3\sqrt{5} } = \frac{1}{\sqrt{5} }[/tex][tex]\tan(AOB) = \tan(360 - \theta) = -tan \theta = -\frac{6}{3} = -2[/tex][tex]\csc(AOB) = \csc(360 - \theta) = -\csc \theta = -\frac{1}{\sin \theta} = -\frac{\sqrt{5} }{2}[/tex][tex]\sec(AOB) =\sec (360 - \theta) = \sec \theta = \frac{1}{\cos \theta} = \sqrt{5}[/tex][tex]\cot(AOB) = \cot(360 - \theta) = -\cot \theta = -\frac{1}{\tan \theta} = -\frac{1}{2}[/tex]

Can you help me with Math

Answers

Answer:

42+106=x

148=x

Step-by-step explanation:

answer would be x= 148 i think

Find the missing dimension.

Answers

Answer:

1.66

Step-by-step explanation:

a = b*h

5.833 = 5*h

5.833/5 = h

1.166 = h

------------------------------------------

check work:

b*h = a

5 * 1.166 = 5.833

True

Answer:

1.66

Step-by-step explanation:

I did this already in my math class

Find the solution(s) to the system of equations. Select all that apply.
y=x-4
y = 2x- 5

Answers

Answer:

Y

Step-by-step explanation:

Which pair of inequalities is equivalent to 0 Choose the correct answer below.

Answers

Answer: D is correct

Step-by-step explanation:

Answer:

C.   x > 0 and x ≤ 3

Step-by-step explanation:

0 < x ≤ 3

when  0 < x then x > 0

Example: 0 < 2 then 2> 0

Therefor

x > 0 and x ≤ 3

Use the information giving in the figure to find the length FH. If applicable, round your answer to the nearest whole number.

The lengths on the figure are not drawn accurately.

Answers

9514 1404 393

Answer:

  FH = 16

Step-by-step explanation:

ΔGHE is a 5-12-13 triangle.

ΔEHF is a 3-4-5 triangle with a scale factor of 4, so side FH is 4·4 = 16 units.

_____

(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17) are all commonly used Pythagorean triples. The first two on the list are used in these triangles.

If you like, you can work out the numbers using the Pythagorean theorem, which tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides.

For ΔEHG, that is ...

  GE² = EH² + HG²

  13² = EH² + 5²

  EH² = 13² -5² = 169 -25 = 144

And for ΔEHF, ...

  FE² = EH² +HF²

  20² = 144 + HF²

  400 -144 = HF² = 256

  HF = √256 = 16

The length of side FH is 16 units.

I WILL GIVE 90 POINTS!!!! PLEASE EEEEXXXXPPPLLLAAAIIIIIIIIIIIIINNNNNNN!!!!!!!!!!!!!!!!!
Moby rolls two dice. what is the probability that the sum of the numbers on the dice will be 8?
A. 1/36
B. 3/36
C. 5/36
D. 8/36

Answers

Answer:

C) 5/36

Step-by-step explanation:

Now, suppose, dice 1 gives 2. Here also, dice 2 can be anything between 1 and 6. But, the sum of both the dices will be 8 only if dice 2 shows 6.

Similarly, now, if dice 1’s face is 3, sum will be 8 only if dice 2’s upper face shows 5.

If dice 1 shows 4, sum = 8 only if dice 2 is 4.

If dice 1 is 5, sum = 8 only if dice 2 is 3.

If dice 1 is 6, sum= 8 only if dice 2 is 2.

Therefore, sum will be 8 only 5 times. But, sample space consists of 36 values ( combination of values of dice 1 and dice 2).

Therefore, probability = 5/36.

Hope it helps.

Answer:

Now, suppose, dice 1 gives 2. Here also, dice 2 can be anything between 1 and 6. But, the sum of both the dices will be 8 only if dice 2 shows 6.

Similarly, now, if dice 1’s face is 3, sum will be 8 only if dice 2’s upper face shows 5.

If dice 1 shows 4, sum = 8 only if dice 2 is 4.

If dice 1 is 5, sum = 8 only if dice 2 is 3.

If dice 1 is 6, sum= 8 only if dice 2 is 2.

Therefore, sum will be 8 only 5 times. But, sample space consists of 36 values ( combination of values of dice 1 and dice 2).

Therefore, probability = 5/36.

Hope it helps.

Step-by-step explanation:

Rectangle F'G'H'I' is a translation of rectangle FGHI. Write the translation rule.

Answers

Yo vivo en Granada, una ciudad pequeña que tiene monumentos muy importantes como la Alhambra.

i’m so confused.. a little help?

Answers

Answer:

Triangle has a greater perimeter.  

Step-by-step explanation:

Triangle perimeter = 21cm

Add the sides.

Square perimeter = 16cm

Add the sides (since it's a square the sides are the same.)

The Unit Circle

What is the domain of a sine function?

a. positive numbers
b. All real numbers
c. negative numbers
d. positive numbers including zero

Please select the best answer from the choices provided

Answers

Answer:

B. All real numbers

Step-by-step explanation:

I calculated it logically

Answer:

I believe it is all real numbers

On cold days Leah likes to make hot chocolate. She uses 8 tablespoons of cocoa and 2 tabelspoons of sugar, what ratio is equivalent to 8 to 2? Complete the statement. The ratio 8 to 2 is equivalent to the ratio ? To ?

Answers

Answer:

4 to 1

Step-by-step explanation:

The greatest common factor between 8 and 2 is 2. So 2 will go into 8, 4 times. And 2 will go into 2, 1 time. So simplified the equivalent ratio is 4:1.

Write an equation that represents a parallel line to y=1/2x + 4

Answers

Answer:

1/2

Step-by-step explanation:

LINK=REPORT

(4^2)^3=

A. 4^5
B. 4^6
C. 8^5
D. 16^5


(5^2)(5^3)=

A. 5^5
B. 5^6
C. 10^5
D. 25^5


(3^4)(3^5)=

A. 3^9
B. 9^9
C. 3^20
D. 6^20


Which is equivalent to 2^3•2^-5?

A. 2^-15
B. 2^-8
C. 2^-2
D. 2^2

If you answer all four of them and they are right I will give brainliest!

Answers

Answer:

a) 4^6

b) 5^5

c)3^9

d)2^-2

Step-by-step explanation:

When raising a number to a power and then to another power, you can multiply the exponents.

When multiplying numbers with the same base to different exponents, you can add the exponents.

If 2^2x = 2^3, what is the value of x?

Answers

Answer:

x=2

Step-by-step explanation:

PLEASE ANSWER THIS ASAP IM ALWAYS SO GRATEFULL!!

Answers

Answer:

P(6) is 1/12, P(Shaded) is 8/12, P(Odd or Unshaded) is 10/12, and P(Even and Shaded) is 11/12

Step-by-step explanation:

A carpenter bought 850 nails. Each nail
has a mass of 5.2 x 10-3 kg. What is the total
mass, in kilograms, of the nails the carpenter
bought. Express your answer as a decimal.

Answers

Answer:

4.42

Step-by-step explanation:

5.2 x 10-3 multiplied by 850. I got it right on my assignment

The mass of the 850 nails is 442 x 10⁻² kilograms.

What is multiplication?

The mathematical operation of multiplication is arithmetic. Additionally, it involves repeating the same forms of statements.

Example: 2 + 3 signifies that 2 is multiplied by 3 or that 3 is multiplied by 2 times.

A carpenter bought 850 nails.

Each nail has a mass of 5.2 x 10-3 kg.

To find the total mass:

Use multiplication operation,

850 x 5.2 x 10⁻³

= 4420 x 10⁻³

= 442 x 10⁻²

Therefore, the mass is 442 x 10⁻² kilograms.

To learn more about the multiplication;

https://brainly.com/question/19634536

#SPJ2

PLEASE HELP I DONT KNOW

Answers

Answer:

28π is the circumference

Step-by-step explanation:

2 + 2 = ?




please help!

Answers

Answer:

4

Hope that this helps!

4 is your answer! Mark me Brainliest please

How many additional books does Tony get each month?

Answers

Answer:

3 books

Step-by-step explanation:

Answer:

3 books

Step-by-step explanation:

On the first 1st month Tony gets 11 book but on the second month Tony gets 14

14 books - 11 books = 3 books

There is a pattern of 3 new books each month.

(1 month = 3 new books)

Tony gets 3 additional books every/each month.

An architect is creating a scale drawing of a school computer lab. The length of the lab is 32 feet and the width of the lab is 48 feet. If each 16 feet of the lab equals 2 centimeters on a scale drawing, which of the following drawings is the scale drawing of the computer lab?

Answers

Answer:

The answer is B

Step-by-step explanation:

Length:

32ft. / 16ft. = 2

2 x 2cm. = 4 cm.

Width:

48ft. / 16ft. = 3

3 x 2cm. = 6cm

Answer:

b

Step-by-step explanation:

24. Identify the center and radius of the circle given the equation (x +15)2 + (7 - 9)2 = 25 .
a. Center: (-15, 9), Radius: 5
b. Center: (15, -9), Radius: 25
c. Center: (-15, -9) Radius: 5
d. Center: (15,9) Radius: 25

Answers

Answer:

a. Center: (-15, 9), Radius: 5

Step-by-step explanation:

Equation of a circle:

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In this question, we have that:

[tex](x + 15)^2 + (y - 9)^2 = 25[/tex]

Comparing both equations:

[tex]x - x_0 = x + 15[/tex]

[tex]x_0 = -15[/tex]

And

[tex]y - y_0 = y - 9[/tex]

[tex]y_0 = 9[/tex]

The center is [tex](-15,9)[/tex].

For the radius:

[tex]r^2 = 25[/tex]

[tex]r = \sqrt{25} = 5[/tex]

The correct answer is given by option a.

A bag contains 4 red marbles, 6 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that all three marbles drawn will be blue?

Answers

Answer:

.070

Step-by-step explanation:

Answer:

0.94

Step-by-step explanation:

5/11 is .455

11 total marbles 5 are green

but thats the probability of just one draw

so .455 x .455 x .455 is .094 for three separate draws

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