A design engineer wants to construct a sample mean chart for controlling the service life of a halogen headlamp his company produces. He knows from numerous previous samples that this service life is normally distributed with a mean of 500 hours and a standard deviation of 20 hours. On three recent production batches, he tested service life on random samples of four headlamps, with these results SampleService Life (hours) 1495500505500 2525515505515 3470480460470 If he uses upper and lower control limits of 520 and 480 hours, on what sample(s) (if any) does service life appear to be out of control

Answers

Answer 1

Answer:

Sample number 3

Step-by-step explanation:

From the given information:

Sample                   Service life(hours)                Total        Mean(X)

                     1               2            3           4

1                 495         500       505       500       2000        500

2                 525         515       505       515         2060        515

3                 470         480       460       470        1880          470

Total = [tex]\text{addition \ of \ numbers \ of \ observations}[/tex]

Mean = [tex]\dfrac{\text{addition \ of \ numbers \ of \ observations}}{4}[/tex]

Thus;

[tex]UCL = \mu+x = 500 + 20 = 520\\ \\ LCL= \mu -x = 500 -20 =480[/tex]

To plot on an X_Bar chart, we have:

Sample        Mean (X)     UCL        LCL

1                      500           520        480

5                     515            520        480

6                     470            520        480

The x-Bar chart is shown in the image attached below. From the image, we realize that the average service life for sample number 3 occurs to be out of the statistical control.

A Design Engineer Wants To Construct A Sample Mean Chart For Controlling The Service Life Of A Halogen

Related Questions

Figure A ~ Figure B
Figure A
Figure B
1 ft
3 ft
V = 6 cu ft
Find the volume of Figure A.

Answers

Answer:

the answer is

162ft3

Step-by-step explanation:

Mary wants her friend to guess how many cards she has in her hand. She says that if the number of cards in her hand is tripled, and 4 are added, then she has 22 cards.

Answers

Answer:

22 minus 4 = 18

18 divided by 3 is equal to 6

then following from the question now that we got the answer

so she have 6 cards first then it tripled and now it's 18 Then she added four now it's 22

your welcome

Answer:

6

Step-by-step explanation:

let x be the number of cards

3x + 4 = 22

3x = 18

x = 6

Which algebraic expression best represents the following verbal
description: Four more than the price, p?

Answers

Answer: I think it is 4+$p

Step-by-step explanation:

Find the value of x

Answers

Answer: 38

Step-by-step explanation:

Find the measurements of the numbered angles in each kite.

Answers

Answer:

∠1 = 90°

∠2 = 26°

Step-by-step explanation:

Additional Activities
BRAIN-COMPATIBLE
Activity 3
Directions: Determine the variable and constant in the given algebraic expression and
equation. Write your answer in your notebook.
Algebraic Expression and Equation
Variable
Constant
1) three more than y
2) p multiplied by 7
3) the quotient of x and four
4) sixteen subtracted from ten times k
5) twice the difference between twenty and
9
6) six times p decreased by twelve
7) twenty taken from eight-timesh
8) four times the sum of five and x
9) f multiplied by fifteen
10) twice d added to forty​

Answers

Answer:

1. C: three | V: y

2. C: 7 | V: p

3. C: four | V: x

4. C: sixteen, ten | V: k

5. C: two, twenty | V: g (I believe that's a "g" and not a "9" due to OCR scanning! and even logically that should be a letter to represent the variable so that the expression is correct)

6. C: six, twelve | V: p

7. C: twenty, eight | V: h

8. C: four, five | V: x

9. C: fifteen | V: f

10. C: two, forty | V: d

Find the lateral area, surface area and volume of the cube

Answers

Answer:

Lateral Area = 13 x 13 x 4 = 676 ft²

Surface area = 13 x 13 x 6 = 1014 ft²

Volume = 13 x 13 x 13 = 2197 ft³

what is the unknown number in sequence 2​

Answers

Answer:72 Step-by-step explanation:form the table it is shown that 5 was skipped to 6 so to get term 5 we say if 48-36=12 and 36-26=12 ......in A.P series so the difference is 12 therefore the 5th term is 48+12 = 60 and 6th term is 60+12= 72


The distance from Point C to the tower at Point A is 1.2 miles, while the distance from Point C to the tower at Point
Bis 1.8 miles. If mZACB=81", what is the distance, to the nearest tenth of a mile, between the water towers?

Answers

Since we are given with the three sides of the triangle and asked to determine the angle, we can use the cosine law.

Jayda is watching a movie that lasts 1 hour and 37 minutes. She has watched 52 minutes so far. How many minutes are left in the movie? *

Answers

Answer:

45 minutes

Step-by-step explanation:

97-52 = 45

what is the definition of corresponding sides​

Answers

Answer:

Corresponding sides touch the same two angle pairs.

Step-by-step explanation:

Answer:

In a pair of similar triangles, the corresponding sides are proportional. Corresponding sides touch the same two angle pairs.

When the sides are corresponding it means to go from one triangle to another you can multiply each side by the same number.

Can I please get help with this

Answers

9514 1404 393

Answer:

35x + 20 ≥ 1000x ≥ 28

Step-by-step explanation:

The number of filled bags will be 35 for each hour (x) that Jackson works, in addition to those already filled. So, the total number filled after x hours is ...

  35x + 20

We want that number to be at least (greater than or equal to) 1000, so the relation is ...

  35x +20 ≥ 1000

__

To solve this, we first subtract 20:

  35x ≥ 980

Now, we can divide by the coefficient of x.

  x ≥ 980/35

  x ≥ 28 . . . . .  the solution

A box of chocolates was shared evenly between 5 people. Each person received 4 chocolates.
How many chocolates were in the box?

Answers

Answer:

20

Step-by-step explanation:

5x4=20

plz give me a thx! IF I HELPED :)

what is the slope of the line shown?​

Answers

answer: i believe it is 1/2

Simplify the expression to a + bi form:
(3+10i)-(-12-8i)

Answers

Answer:

15 + 18i

Step-by-step explanation:

(3 + 10i) - (-12 - 8i) = 3 + 10i - 12*(-1) - 8i*(-1)

                            = 3 + 10i +12 + 8i

                            = 3 + 12 + 10i + 8i  {Combine like terms}

                            = 15 + 18i

15+18i
Once u know it you will say how did u not know this

Evaluate the expression.
-2.035 – 1.008 - 3.04 + 0.008

Answers

Answer:

-6.075

Step-by-step explanation:

simple addition/subtraction

we multiply all the terms by "-1"

we add the first three terms then subtract the last from it

during a recent period of time compact discs sales have been declining. The sales (billions of dollars) can be modeled by the function (f)t= -9/7t+17.9, where T is the number of years since 2005. Suppose sales decreased at twice the rate. How can you transform F to model the sales?

a. vertically shrink by a factor of 1/2

b. vertically stretch by a factor of 2

c. horizontally shrink by a factor of 1/2

d. horizontally stretch by a factor of 2

Answers

The answer is c I believe I really don’t know

A mirror has a parabolic surface defined by the equation y =¹⁄₂₄ x² with the vertex (0, 0) at the center of the mirror. When the width of the mirror is 8 inches, what is the depth, y, of the mirror?
A.) ¹⁄₃₆ in.
B.) ⅙ in.
C.) ⅔ in.
D.) 2⅔ in.

Answers

Answer:

ITS C: 2/3 in.

Step-by-step explanation:

edg 21 ^u^

Find the area of each figure.

Answers

1536in (for rectangle). 288in (for triangle)

Area of rectangle: 48in* 32in = 1536 in

Area of triangle: 48in*12in÷1/2= 576/2=288in

Formula of area of triangle is b*h divided by 2

Formula of area of rectangle is length*width

Hope this helps!

question in picture(explain if u can it helps alot)

Answers

Answer:

4z + 2q

Step-by-step explanation:

there is 4 "z" and 2 "q"

Answer:

4z+2q

Step-by-step explanation:

combine like terms

combine all the z’s and all the q’s

Answer choices- 4, 64, 240, 116, 68, 105, 480, 400 (20 points)​

Answers

Esa sería la respuesta a tu pregunta

3 When 25 x+2y-* x-12y+3) x-1ży+3) is simplified, what is the resulting expression? 1 Tox+23y+6 7. x+23y+6 x+85y+8 1 Tox+4*x+3​

Answers

Answer:

B

Step-by-step explanation:

what does venerable mean​

Answers

Answer:

accorded a great deal of respect, especially because of age, wisdom, or character.

"a venerable statesman"

Similar:

respected

venerated

revered

reverenced

Step-by-step explanation:

Hope it helps u , Good luck ^.^

please help
Find the missing side of this right
triangle.
X
7
12
X
= [?]

Answers

Answer:

√193

Step-by-step explanation:

pathagorus theorem:

[tex]( {hyp})^{2} = ( {base)}^{2} + ( {perp)}^{2} [/tex]

hyp=x , base= 12 , perp= 7

subtitles all values in formula:

we get

x^2 = 12^2 + 7^2

x^2 = 144 +49

x= √193

The missing side of this right triangle is, 13.90 units.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

The base of the triangle = 12

The perpendicular distance of the triangle = 7

Now, We know that;

Pythagoras theorem stated as;

⇒ Hypotenuse² = Base² + Perpendicular²

⇒ x² = 12² + 7²

⇒ x² = 144 + 49

⇒ x² = 193

⇒ x = √193

⇒ x = 13.90

Thus, The missing side of this right triangle is, 13.90 units.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ2

How many solutions does this system of equations have? Explain how you know.

Answers

Answer:

No solution

Step-by-step explanation:

The given equations are :

9x-3y=-6

3x-y=2.....(1)

5y=15x+10

5y-15x=10

or

y-3x=2 .....(2)

Equations (1) and (2) shows that the lines are parallel. We know that for parallel lines, there is no solution.

Un círculo tiene una circunferencia de 18.4 m. Determina el valor del radio. (Utiliza el valor de π = 3.14)

Answers

Answer: 2.92

Step-by-step explanation:

De la circunferencia del círculo, se encuentra que su radio es de 2.93m.

El circunferencia de un círculo de radio r es dada por:

[tex]C = 2\pi r = 2(3.14)r = 6.28r[/tex]

En este problema, la circunferencia es de 18.4. Así, es posible aplicar la fórmula de la cincumference para encontrar su radio, puesto que [tex]C = 18.4[/tex].

[tex]C = 6.28r[/tex]

[tex]6.28r = 18.4[/tex]

[tex]r = \frac{18.4}{6.28}[/tex]

[tex]r = 2.93[/tex]

El radio es de 2.93m.

Un problema similar es dado en https://brainly.com/question/24562611

Please help .. would be appreciated

Answers

Answer:

x = 30

Step-by-step explanation:

[tex] \triangle JLK\sim\triangle PQR[/tex] (given)

[tex] \therefore \frac{JL}{PQ}=\frac{LK}{QR} [/tex]

(corresponding sides of similar triangles)

[tex] \therefore \frac{20}{x}=\frac{22}{33} [/tex]

[tex] \therefore \frac{20}{x}=\frac{2}{3} [/tex]

[tex] \therefore x=\frac{20\times 3}{2} [/tex]

[tex] \therefore x=\frac{60}{2} [/tex]

[tex] \therefore x=30 [/tex]

Or using scale factor:

Scale factor = 33/22 = 3/2

x = 20*3/2

x = 10*3

x = 30

Which equation finds the length of side c of this right triangle

Answers

Answer:

Find The Length Of The Side Of A Right Triangle : Example Question #1. Explanation: The Pythagorean Theorem gives us a2 + b2 = c2 for a right triangle, where c is the hypotenuse and a and b are the smaller sides.

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

Use the Pythagorean Theorem to find c:

a² + b² = c²

√a² + b² = √c²

c = √a² +b²

What comes next in the pattern?12,16,20
A. 10
B. 22
C. 23
D. 24​

Answers

24 , it’s just skipping four letters up

Helppppppppppp!!!!!!!!!!!!!?????

Answers

Answer:

ANSWER IS = 65536 I THINK forgive me if I'm wrong

Step-by-step explanation:

the picture explaining how so how you do this dont Multiple 4x2 as in regular its wrong it isn't like regular math you need to multiple whatever number is on top like 4^2 so we do 4x4 shown on top cause thats how many you need to multiple with and another 4^6 so this is 4x4x4x4x4x4 6 times

DONT DO's:

Don't regularly multiply 4x2 or 4x6 this is EXPONENT :)

I even added a example below

{i'm sorry if its wrong again}

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