Let's assume your process yields products with a mean diameter of 12.50mm and σ = 0.010mm. If the specification calls for a range of 12.480mm - 12.530mm, what percentage of parts will have a diameter within these limits?

Answers

Answer 1

Answer:

There is a 97.59% that diameter of the product will fall in the specified range.

Step-by-step explanation:

Let X be the r.v. the diameter of a product

X~N(12.5, (0.010)²)

P(12.48 < X < 12.53) = P(X < 12.53) - P(X < 12.48)

Convert the x-values to corresponding z-values

[tex]Z_{1} = \frac{12.48 - 12.50}{0.01} = -2\\\\Z_{2} = \frac{12.53 - 12.50}{0.01} = 3\\\\[/tex]

Then, using the standard normal distribution cumulative probability tables:

[tex]P(X < 12.53) - P(X < 12.48) = P(Z < 3) - P(Z < -2)\\\\= P(Z < 3) - (1 - P(Z < 2))\\\\= 0.9987 - (1 - 0.9772)\\\\= 0.9987 - 0.0228\\\\= 0.9759[/tex]


Related Questions

I’m not very good at math, anyone can answe this plz and thanks

Answers

Answer:

B

Step-by-step explanation:

Answer:

If it is asking for the total of both then it should be 6 1/4

Step-by-step explanation:

I added 4 3/4 and 1 1/2

1/3 exponent 4??? pls help immediately

Answers

1/3 to the power of 4 equals 1/81

TRUE or FALSE. Coordinates and position are written the same way but show different information?

Answers

Answer:

True.

Step-by-step explanation:

A battery is charged. The percentage of the battery's capacity that is charged as a function of time (in minutes) is graphed. graph At what rate is the battery charged? Choose 1 answer: Choose 1 answer: (Choice A) A 20 percent per minute (Choice B) B 1 percent per minute (Choice C) 2 percent per minute (Choice D) 10 percent per minute

Answers

The answer is -12 percent

Answer:

12%

Step-by-step explanation:

Just do 12% it is correct the other one is wrong

Factor out the coefficient of the variable 2/3j - 2/9

Answers

answer: hey lol*sharts loudly*

Step-by-step explanation:

you just need to use the bathroom next time;))))

Let’s fix some n e {1,2,3,...}. A biased coin with probability of head p is tossed n times, and the number of heads, N1, is counted. The coin is then tossed Ni more times, and the number of heads, N2, is counted. Find the expected total number of heads, E[Ni + N2], generated by this process. The answer should depend on n and p only.

Answers

Answer:

The answer is "np(1+p)".

Step-by-step explanation:

[tex]N_1[/tex] = Number of n tossed heads  

According to [tex]N_1[/tex], Y = amount of [tex]N_1[/tex] tossing heads

So, [tex]N_1[/tex]~ Bin(n, p) and [tex]N_2[/tex] | [tex]N_1[/tex] ~ Bin([tex]N_1[/tex], p)

[tex]E(N_1+N_2) & = E\Big[N_1+N_2\vert N_1\Big]\\ &[/tex]

                   [tex]= E(N_1)+E\Big[N_2\vert N_1\Big]\\\\ & = E(N_1) + E(N_1\,p)\\\\ & = np + np.p \\\\ =np+np^2\\\\ =np(1+p)[/tex]

10. If a rectangular prism has a volume of 60 cubic inches and all dimensions are doubled, what is the new

volume?

d. 30 in

c.

b. 120 in

60 in

480 in

a.

Answers

Answer:

New volume on this is 480 cubic inches

Step-by-step explanation:

The volume of a rectangular prism is area of base * height

That would be;

l * b * h = lbh

we have all this as 60

Doubling all, we have

2l * 2b * 2h = 8lbh

Recall lbh = 60

So 8lbh = 8 * 60 = 480 cubic inches

Round your answer to tenth place. A park has a triangular sandbox. Todd wants to create a smaller sandbox at his backyard having the same angles as the park sandbox. Drawings of both sandboxes are shown. 14 ft 18 ft 20 ft Park Sandbox 8 ft Todd's Sandbox What is the perimeter, in feet (ft), of Todd's sandbox? DOLL​

Answers

No picture given for this problem. Repost.

It costs $0.50 to download an individual song and $4 to download an album. Jada has $15 to spend downloading music.

Answers

Answer:

what is it asking

Step-by-step explanation:

Based on the position vs. time graph, which velocity vs. time graph would correspond to the data? A graph with horizontal axis time (seconds) and vertical axis position (meters). A line runs straight upward from 0 seconds 0 minutes.

Answers

Answer:

C or the graph with continuous acceleration (straight line)

Step-by-step explanation:

It's the right answer on edguinity

Answer:

c

Step-by-step explanation:

Find the missing side lengths leave your answerss as radicals

Answers

Answer:

a= 5[tex]\sqrt{2}[/tex]

b=5

(0,3), (4,15), (5,33), determine the equation of the parabola they represent. State the direction the parabola opens.

Answers

Answer:

y = 3x² – 9b + 3 and the parabola opens upwards since a = 3 > 0.

Step-by-step explanation:

The general equation of a parabola is:

y = ax² + bx + c

So we have to solve for a, b and c to get our equation with the 3 given points.

When x = 0 and y = 3 we have

3 = a(0)² + b(0) + c, this means c = 3

When x = 4 and y = 15

15 = a(4)² + b(4) + 3 we have

16a + 4b = 12 which is

4a + b = 3

When x = 5 and y = 33 we have

33 = a(5)² + b(5) + 3 we have

25a + 5b = 30 which gives

5a + b = 6.

We have two equations

4a + b = 3

5a + b = 6

Eliminating b we have

a = 3, substituting a = 3 in the first equation we have

4(3) + b = 3

12 + b = 3

b = –9

Our equation therefore is:

y = 3x² – 9b + 3 and the parabola opens upwards since a = 3 > 0.

Amy's car gets 32 miles per gallon. If her car's tank holds 15 gallons of gas, and she wants to keep a minimum of 1 gallon of gas in the tank for safety, how far (in miles) can Amy drive after filling up before she needs to fill up again?

Answers

Answer:

448 miles

Step-by-step explanation:

Amy's car can hold 15 gallons of gas. Provided that each gallon can drive her 32 miles. This means that 15 gallons can drive her 480 miles.

15 gallons x 32 miles = 480 miles

However, she needs to keep 1 gallon of gas in the tank for safety reasons. So we have to subtract 1 gallon from 15 gallons.

15 gallons - 1 gallon = 14 gallons

Now, let's compute again.

14 gallons x 32 miles = 448 miles

Amy can drive 448 miles before she needs to fill up the tank again.

HEEEEEEEEEEELLLLLLLPPPPP PLEASE );
Kingston deposited $90 in a savings account earning 6% interest, compounded annually. To the nearest cent, how much will he have in 2 years?

Answers

Answer: 101.12

Step-by-step explanation: This answer is rounded to the nearest cent. The other is not, and will count it wrong.

In a study of 300 students under 25 years old, 21 have not yet learned to drive. What percentage can drive

Answers

Answer:

7%

Step-by-step explanation:

300/21 is 0.07, and 0.07 in percent form is 7%

7% is the answer. you just divide 300/21 and it give you 0.07 which is 7%

a tv costs 800 plus vat at 20% what is the total cost of the tv

Answers

960. 960. 960. 960. 960. 960.

I need help I’m graphing this please help out

Answers

Answer:

Step-by-step explanation:

Answer:

y-intercept(0, -9)

Step-by-step explanation:

Please help I’ll mark brainliest if u give a small explanation

Answers

the answer is 4 because the bottom and line DE form a right angle

Help me Please 20 POINTS

When two variables are in a proportional relationship, which of the following is true about

1 their values.
2 their sums are a constant
3 their differences are a constant
4 their products are a constant
5 their quotients are a constant

Answers

Answer:

(5)

for eg;

3/5 is proportional to 15/25

Answer:

I would say 1 or 4

Step-by-step explanation:

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

What is : [tex]7a + 8b + 9a + 4b + b =[/tex]

Answers

Answer: 16a + 13b

Step-by-step explanation: combine like terms:

7a + 9a

8b +4b +b

= 16a + 13b

Answer:

16a + 13b

Step-by-step explanation:

7a + 9a = 16a

Remember: a number without coefficent is 1

8b + 4b + b = 13b

danny bought a shirt that was first put on sale for 30% off that went on clearance for an additional 40% off. what is the markdown if the original price was $94.99

Answers

Answer:

The total is $28.50

Step-by-step explanation:

Simplify the expression. 55−4x5+12

Answers

Answer:

First we add four point five plus twelve and we get sixteen point five, and so now we subtract fifty-five minus sixteen point five and we get our answer.

Answer: 62.5

Step-by-step explanation:

Hope this helps!

:)

Which signs do you have to fill ( + , - , × , ÷ , √ , = ) in between the numbers to make this a true equation.


74205, 3 , 169 , 490 , 1701 , ​(1/8) , 15262 , 2²

Answers

Answer:

put them in order

Step-by-step explanation:

1/2+2-3=309y6

Which expression is equivalent to (m2p–2r7)(m–5p4r2)?

Answers

Answer:

=(m2p+−2r7)(m+−5p4r2)

=(m2p)(m)+(m2p)(−5p4r2)+(−2r7)(m)+(−2r7)(−5p4r2)

=m3p−5m2p5r2−2mr7+10p4r9

=10p4r9−5m2p5r2−2mr7+m3p

Step-by-step explanation:

:D

Mrs. Conley asks her class what kind of party they want to have to celebrate their excellent behavior. Out of all the students in the class, 5 want a ice cream party, 7 want a movie, 10 want a costume party, and the rest want are undecided. If 20% want a ice cream party, how many students are in class?

Answers

Answer:

25

Step-by-step explanation:

Give the slope between the points
(-2,0) (-11,-4)

Answers

Answer:

Step-by-step explanation:

12,12

Answer:

The slope is 4/9

PLEASE HELLPP MEEEEEEEEeeeeeeeeeeeeeeeeee

Answers

Answer:

D, 32

Step-by-step explanation:

First input all the numbers. Then do what’s inside the parenthesis first then multily by 12. lastly divide that number by 2.4

Answer:

32

Step-by-step explanation:

[tex]\frac{12(4+2.4)}{2.4}\\\frac{12(6.4)}{2.4} \\ \frac{76.8}{2.4}=32[/tex]

How much fencing is needed to enclose a field that is 300 meters by 600 meters?

Answers

........300
600.......600
........300
So (300(2))+(600(2))=1800 meters of fencing

1800 meters of fencing is required to enclose a field.

Given that, the dimension of the field is 300 meters by 600 meters.

What is the perimeter of a rectangle?

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Now, the perimeter of the rectangular field=2(600+300)

=2×900=1800 meters.

Therefore, 1800 meters of fencing is required to enclose a field.

To learn more about the perimeter of a rectangle visit:

https://brainly.com/question/2142493.

#SPJ2

1. In the Mauritius warehouse, 145 kg of corn and 105 kg of beans are stored. Answer back:
A) What percentage of the total production does corn represent?
B) What percentage of the total production does beans represent?

Answers

Answer:A) 58% and B) 42%

Step-by-step explanation:

Plz brainliest: I’m almost an expert plz

segment AB is dilated from the origin to create segment A prime B prime at A' (0, 6) and B' (6, 9). What scale factor was segment AB dilated by?

Answers

As you forgot to mention the diagram. I was able to find the diagram. Hence, I am attaching and solving the question based on that diagram, which anyways would clear your concept.

Answer:

we conclude that the segment AB was dilated by scale factor 3.

Step-by-step explanation:

From the diagram, it is clear that the original points A and B are located

at (0, 2) and (2, 3) respectively.

i.e.

A(0, 2)B(2, 3)

As the coordinates of the dilated segment A'B' are given as:

A'(0, 6)B'(6, 9)

A scale factor is basically a number that multiplies an object or quantity.

For instance, the 'D' in [tex]y = Dx[/tex] is the scale factor for x.

If the equation were y = 7x, then the factor would have been 5.

As the coordinates of the dilated segment A'(0, 6) and B'(6, 9) are 3 times the coordinates of the original segment A(0, 2) and B(2, 3).

i.e.

A(0, 2)  → (0×3, 2×3) = A'(0, 6)

B(2, 3) → (2×3, 3×3) = B'(6, 9)

Therefore, we conclude that the segment AB was dilated by scale factor 3.

Answer:

Segment AB was dilated by scale factor 3.

Step-by-step explanation:

The person above is correct tahnk you!!!

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