Without properly working spark plugs, a vehicle will not run. For a specific vehicle, the spark plugs are supposed to have a gap between 3.9mm and 4.3mm. Any spark plugs with gaps larger or smaller than this will fail inspection and be discarded. At the factory, the machine that sets the gap follows a normal distribution with a mean of 4.1mm and standard deviation of 0.075mm. What is the probability that a randomly selected spark plug passes inspection

Answers

Answer 1

Answer:

The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.

P(3.9≤X≤4.3)  = 0.9922

Step-by-step explanation:

Step(i):-

Given that the mean of the Normal distribution = 4.1mm

Given that the standard deviation of the Normal distribution = 0.0075mm

Let 'X' be the random variable in a normal distribution

Given that X₁ = 3.9mm

[tex]Z_{1} = \frac{X_{1} -mean}{S.D}[/tex]

[tex]Z_{1} = \frac{3.9 -4.1}{0.075} = -2.666[/tex]

Given that X₂ = 4.3mm

[tex]Z_{2} = \frac{X_{2} -mean}{S.D}[/tex]

[tex]Z_{1} = \frac{4.3 -4.1}{0.075} = 2.666[/tex]

Step(ii):-

The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.

P(3.9≤X≤4.3) = P(-2.666≤Z≤2.666)

                     = P(Z≤2.666)-P(Z≤-2.666)

                    = 0.5 +A(2.666) - (0.5-A(2.666)

                   = 2 × A(2.666)

                 = 2×0.4961

                 = 0.9922

Final answer:-

The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.

P(3.9≤X≤4.3)  = 0.9922


Related Questions

PLEASE HELP! THIS IS DUE IN 10 MINS (I WILL GIVE BRAINLIEST)
SHOW UR WORK PLEASE

Answers

Answer:

35

Step-by-step explanation:

if chiefs lost by 25, packers have 25 more points.

packers - 25 = chiefs

equation: packers - 25 = 10

packers = 10 + 25

packers = 35 points

Answer:

35 pts

Step-by-step explanation:

10+25=35

10+10=20

+15

35

lol

Daniel says that more than half the students spent 2 1 2 hours or more on homework. Liz says more than half the students spent less than 2 1 2 hours on homework. Who is correct? Explain.

Answers

Answer:

Liz is correct

Step-by-step explanation:

Given

See attachment for complete question

Required

Who is correct? Daniel or Liz

From the attached data, we have:

[tex]Time: 1\frac{3}{4},\ 2\frac{1}{2},\ 2,\ 2\frac{3}{4},\ 1,\ 1\frac{3}{4},\ 1\frac{1}{4},\ 3,3\frac{1}{4},\ 3\frac{3}{4},\ 2,\ 2[/tex]

The total number of students is:

[tex]n = 12[/tex]

The data that represents  [tex]2\frac{1}{2}[/tex] or more is:

[tex]Time: 2\frac{1}{2},\ 2\frac{3}{4},\ 3,3\frac{1}{4},\ 3\frac{3}{4}[/tex]

The frequency of this is 5

The frequency that represents [tex]2\frac{1}{2}[/tex] or less will be 7

This means that less than half spend [tex]2\frac{1}{2}[/tex] or more

and more than half spend [tex]2\frac{1}{2}[/tex] or more

Hence, Daniel is incorrect. Liz is correct

SUBSTITUTION METHOD ALGEBRA

Answers

Answer:

I think x=0, and y=4

Step-by-step explanation:

P.S. I'm sorry if I'm wrong!

The following are the ages (years) of 5 people in a room:
14, 24, 24, 20, 24
A person enters the room.
The mean age of the 6 people is now 21.
What is the age of the person who entered the room?

Answers

Step-by-step explanation:

vote

Answer:Step-by-step explanation:mean=23+20+15+17+A/6=1923+20+15+17+A=19(6)43+32+A=11475+A=114A=39 More

Answer:

14+24+24+20+24=106

106 divide by 6=17.66

round of the answer to the nearest =18

Can one of y’all help me with this pls

Answers

Answer:

D

Step-by-step explanation:

D says four-tenths and 2 times 2 is 4 and 5 times 2 is 10 so 2/5 is equal to 4/10.

What percent of 134 is 66? (To the nearest tenth of a percen t)

Answers

Answer: 49.25

Step-by-step explanation:

Look at the data on the line plot. A line plot shows a number line 0.1 to 0.7 in intervals of 0.1. 0.1 has 1 dot. 0.5 has 2 dots. 0.6 has 4 dots. 0.7 has 1 dot. Which data value would be considered the outlier? Enter your answer in the box.

Answers

Answer:

0.1 is the outlier

Step-by-step explanation:

Though the question has a missing attachment (of the line plot), the question can still be answered.

The given data can be represented as;

[tex]\begin{array}{cc}{} &{Dots} & {0.1} & {1} & {0.5} & {2} & {0.6} & {4} & {0.7} & {1} \ \end{array}[/tex]

Notice that 0.1 is not as close as to other data as the closeness of 0.5, 0.6 and 0.7.

This implies that 0.1 is an outlier.

Answer:

0.1 is the outlier

Step-by-step explanation:

Look at the data on the line plot.

A line plot shows a number line 0.1 to 0.7 in intervals of 0.1. 0.1 has 1 dot. 0.5 has 2 dots. 0.6 has 4 dots. 0.7 has 1 dot.

Which data value would be considered the outlier? Enter your answer in the box

If triangle ABC has sides of lengths 6, 10, and x + 3, between which two numbers must the value of x lie?

Answers

Answer:

Step-by-step explanation:jhbhbhjvjhvkhvmvghv

PLEASE HELP!!!!!! ILL MAKE BRAINLIEST ​

Answers

Answer:

x = 17

Step-by-step explanation:

75 = 4x + 7

68 = 4x

x = 17

Answer:

17

Step-by-step explanation:

Set equal to each other

Subtract 7 from 75

Divided the answer (68) by 4

Receive the answer 17

Hope this helps, have a good day.

need help thank u
:)

Answers

The area of the base is 1/2 x s x s = 1/2 x 12 x 12 = 72 square cm

Volume = area of base x height/3

Volume = 72 x 14/3 = 336 cm^3

HELP PLZ BRAINIEST TO WHOEVER RIGHT

Answers

Answer:

5, 11, 10, 4, 19 ,2, 12

Step-by-step explanation:

9 is the mean

Standard deviation is 5.398 | Rounded = 5.4

Answer:

mean 9

deviation 5.8

Step-by-step explanation:

DUE IN A HALF HOUR! HELP QUICK!

Answers

Answer:

x<=4, put the closed circle on "4" with the arrow going all the way left

If the airplane had to return to the airport, how far would it have to travel?

A. 154.11 miles
B. 283.8 miles
C. 207.70 miles
D. 249.22 miles

Please help!! :00

Answers

Answer:

The answer is B. 283.8 miles.[tex]\sqrt{b^2[/tex]

Step-by-step explanation:

Using the cosine rule:

b^2 = a^2 + p^2 - 2ap(cosB)

b^2 = 172.20^2 + 111.64^2 - 2 x 172.20 x 111.64(cos177.29)

b^2 = 42,116.33 - 38,448.82(cos177.29)

b^2 = 42,116.33 - (-38,405.82)

b^2 = 42,116.33 +38,405.82

b^2 = 80,522.15

[tex]\sqrt{b^2[/tex] = [tex]\sqrt{80,522.15}[/tex]

b = 283.76 miles = 283.8 miles

QUICK GIVING BRAINLIEST TO THE CORRECT ANSWER

Answers

0.91 as a percent is 91%

Answer:

91%

Step-by-step explanation:

0.91 = 91/100 = 91%

Raymond's hair was 13 centimeters long after his last haircut, and it grows 7 centimeters
every year. Raymond last got his hair cut 6 years ago. How long is it now? Write and solve an
equation to find the answer.

Answers

Answer:

Equation - 13 + 7(6) = x

Solved Answer - 55

Explanation:

Not the best at writing equations, but I’ll try

13 + 7(6) = x
13 + 42 = x
55 = x

Find the total lateral area of the following
cone. Leave your answer in terms of .
4 cm
3 cm
LA = [ ? ]cm?
Hint: Lateral Area of a Cone = tre
Where e = slant height

Answers

Answer:

Step-by-step explanation:

Answer:

200π cm^2

Step-by-step explanation:

Sb = 8^2 π = 64π cm^2

a = sqrt2 [8^2 + 15^2] = sqrt2 [64 + 225] = sqrt (289) = 17 cm

Sl = 8x17xπ = 136 π cm^2

SA = 136π + 64π =200π cm^2

Hope it  helps you

I tried a lot on this

Answer:

LA = 15 cm2

Step-by-step explanation: Trust me.

The ratio of teacher to student in a school
is 1:18. There are 540 students. How
many teachers are there in the school?

Please answer me fast

Answers

Answer:

30

Step-by-step explanation:

teacher x

student 18x

18x=540

x=30

helppppppppppppppppppppp

Answers

Answer:

The answer is C

Step-by-step explanation:

(-1,-1) when put into both equations are the same thing.

Somebody please give me the answer (AND DO NOT GIVE ME A DOWNLOAD LINK. I AM NOT RISKING MY COMPUTER FOR JUST A MATH QUESTION.). Give me the shortest answer and a step-by-step explanation.

Answers

Answer:

yea i know bitly is a scam

Step-by-step explanation:

need help with this question lol

Answers

V=area of base x height
600=x * 15 * 8
x=600/(15*8)
Which is choice C

Answer:

5

Step-by-step explanation:

8 times 15 equals 120, so if the volume is 600, 600/120 or 600/ 8 times 15 is equal to 5

NEED ANSWERS NOW!! (Reward) brainlest and pointsss

Answers

Answer:

B

Step-by-step explanation

f(x)=x2-4x-5

Becomes

f(x)=x2-5x+x-5

Take out the common factor

f(x)=(x-5)(x+1)

Equate the given function equal to 0

0=(x-5)(x+1)

And then

x-5=0 -- x=5

x+1 = 0 == x=-1

Answer:

B

Step-by-step explanation:

we are given a quadratic function

we want to figure out the form which we don't need change

so according to the question

[tex] \displaystyle{x}^{2} - 4x - 5 = 0[/tex]

rewrite -4x as x-5x:

[tex] \displaystyle{x}^{2} + x - 5x- 5 = 0[/tex]

factor out x:

[tex] \displaystyle \: x({x}^{} + 1)- 5x- 5 = 0[/tex]

factor out -5:

[tex] \displaystyle \: x({x}^{} + 1)- 5(x + 1 )= 0[/tex]

group:

[tex] \displaystyle \: (x + 1 )(x - 5)= 0[/tex]

hence our answer is B

Margie has a $50.00 budget to purchase a $45.00 pair of boots. If there is an 8% sales tax rate, Margie will be how much under budget?

Answers

Answer:

$1.40

Step-by-step explanation:

First, 8% of $45

45*0.08=3.6

45+3.6=48.6

50-48.6=1.4

Abdul rented a truck for one day. There was a base fee of $19.99, and there was an additional charge of 76 cents for each mile driven. Abdul had to pay
$181.87 when he returned the truck. For how many miles did he drive the truck?
miles
х
?

Answers

Answer:

The truck drove 213 miles.

Step-by-step explanation:

181.87-19.99= 161.88

161.88÷0.76= 213

Definitely could use some help. Would also be really appreciated if someone gave a breakdown of how they solved it. Thank you!!!

Answers

The rest of the side where the 8 is would 20 (28-8)

Set up proportions:

8/10 = 20/3x-5

Cross multiply

200 = 24x-40

Add 40 to both sides

240 = 24x

Divide both sides by 24

X = 10

Solve for the equation: 3x-5 = 3(10)-5 = 30-5 = 25

A reindeer can fly at a speed of 40 miles an hour. How far will fly in 2 1/2 hours

Answers

Answer:

100 miles

Step-by-step explanation:

Hope this helps

I need help please!!!!

Answers

Answer:

Step-by-step explanation:

Maybe A Emma,  but how can we really know what Zhan, he could have any one of those in mind.. but not really figure it out with those straws  :/

Tell me which lines to which plz

Answers

Answer:

cereal bowl- 2 cups

baby food jar- 4 fluid ounces

soda can- 12 fluid ounces

swimming pool- 1000 gallons

large can of paint- 1 gallon

The length and breadth of a rectangular ground is 30 m and 20 m respectively.A boy moves around the ground 5 times early morning everyday.Find the distance covered by him?​

Answers

Answer:

500m

Step-by-step explanation:

a rectangle has 4 sides, so 30=60 and 20=40

60x5=300

40x5=200

300+200=500

500m

reason of 500

The main reason for this is he ran AROUND the rectangle and did it 5 TIMES, doing it once would be 100m.


is it possible to form a triangle with sides that each measure 3? what about 3,3 and 9?

Answers

Answer:

No; The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. ANSWER: No; 9. ... No; The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Answer:

Yes. An Equilateral Triangle have same angles and sides.

All sides are equal.

what is negative 8 plus ninety two

Answers

Answer:84

Step-by-step explanation:

-8+92

Lo puedes dar la vuelta

92-8= 84

Answer:

84

Step-by-step explanation:

So -8 + 92 = 92 - 8

   92

-     8

______

   84

So, -8 + 92 = 84

hope this helps:)

Other Questions
An initial public offering (IPO) is when a company does what?A. Offers a new line of productsB. Enters into a new partnershipC. Begins selling stock to the publicD. Gets taken over by the government Fictoria has recently become a republic. Which of these items indicates that Fictoria will follow a fixed exchange rate system?A. The system will encourage speculators.B. The currency price is set by the free market based on supply and demand.C. The government entirely determines the rate. D. The system will keep away risk-averse foreign investors.E. The system will automatically solve all balance of payment problems. What is the answer for this question? I need help with this please plss help i really need this! i really need serious answer :( The hypotenuse of a right triangle is 10 inches long. The longer leg is 2 inches longer than the shorter leg. Find the side lengths of the triangle. Use the box method to distribute and simplify (-x + 3)(4x + 4). Drag anddrop the terms to the correct locations of the table. Please help me with this problem and thank you Find the lateral area of this cone leave your answer in terms of pie mathematical expression between wave number and frequency Can any ne solve it Please How can polyploidy cause speciation in plants?Plants can sexually reproduce only when they are polyploid. Having the condition is normal in plants.Plants can asexually reproduce or pollinate themselves. This allows polyploid individuals to reproduce.Plants can repair polyploidy and obtain healthy cells. This allows plants to survive and reproduce.Plants are not affected by polyploidy. Plants with the condition can reproduce normally. find the equation of the circle given the endpoints of the diameter (3,-5) and (-7,3). write the equation in center-radius form. b) A piece of solid gold was heated from 274K to 314K using 55.7J of energy to raise thetemperature. What mass of gold was present? Both the American Revolution and later the ___________ were both based in Enlightenment ideas. Select one:French RevolutionGreat FearReign of TerrorPeoples Revoltacually anwser or i'll report you! The First Amendment includes a "free exercise clause" that prohibits the government from interfering with a citizen's- The photo has a width of 720 pixels. The photo has a height of 540 pixels.(a) Write down the ratio of the width of the photo to the height of the photo. Give your ratio in its simplest form. A rectangular prism is shown.What is the volume, in cubic inches, of this rectangular prisim please help i am giving brainiliest Give the present participle of each verb.1. volar 2. llegar 3. comer 4. hacer 5. salir 6. leer No dam links Charlotte is making 20 flower bouquets 4/5 of the bouquet are daisies and the rest are tulips how many bouquets are tulips A book contains 27 pages with print and 8 pages with print and pictures and 3 blank pages with is the theoretical probability of not opening the book to a printed page only