A process manufactures ball bearings with diameters that are normally distributed with mean 25.14 mm and standard deviation 0.08 mm. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A particular ball bearing has a diameter of 25.2 mm. What percentile is its diameter on

Answers

Answer 1

Answer:

The diameter is in the 77th percentile.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

25.14 mm and standard deviation 0.08 mm.

This means that [tex]\mu = 25.14, \sigma = 0.08[/tex]

A particular ball bearing has a diameter of 25.2 mm. What percentile is its diameter on?

This is the pvalue of Z when X = 25.2. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{25.2 - 25.14}{0.08}[/tex]

[tex]Z = 0.75[/tex]

[tex]Z = 0.75[/tex] has a pvalue of 0.77.

The diameter is in the 77th percentile.


Related Questions

A student rolls a die 15 times and records the results. This is the first set of data. The same student rolls a different die 15 times
and records the results. This is the second set of data.
What is an appropriate conclusion about the shape of the dot plots?

Answers

I believe it is A, The first dot plot is skewed right. Not sure though.

Hi, could anyone help please ? I can't manage to get this right...​

Answers

So everything you have now is right so far:

[tex]\cos(24) = \frac{z}{118}[/tex]

Multiply 118 to the left side to isolate z

[tex]118\cdot\cos(24) = z[/tex]

z = 50.05

Hope this helps

Plzzzzzzzzzzzzzzzzzzz help

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Answer:

Step-by-step explanation:

Pleaseee I need this now!

Answers

Answer:

54000 cube cm

Step-by-step explanation:

Let height be the height of the box kite,

Also the length of one face = 30 cm,

Hence, the total area of the kite box that is covered by the fabric

= 4 × Area of one face

= 4 × 30 × height

= 120 h

According to the question,

120 height = 7200

height = 60 cm

Hence, the height of the box = 60 cm,

The volume inside the kite = The base area of the box × Its height

= 30² × 60

= 900 × 60

= 54000 cm³


Use the figure to find the Volume.

Answers

Answer:

12π un^3

Step-by-step explanation:

Use the fomula: V= πr2 h

The radius is 2 and the height is 3.

I really don't know how to explain this but I can try, with a self- explanatory steps including the formula .

The work is in the screen shot goodluck.

Hope this helped!

Stay Safe!

Simplify.

Please help!!

Answers

Answer:

m√n+2n-n√m

Step-by-step explanation:

4√n^2+√m^2n-√4n^2-√mn^2

m√n+2n-n√m

Explain why the denominator 8 in 8/4 is not changed when adding the fractions.

Answers

Answer:Some fractions may look different, but are really the same, for example: It is usually best to show an answer using the simplest fraction ( 1/2 in this case ). That is called Simplifying, or Reducingthe Fraction

Step-by-step explanation:

PLEASE ANSWER ASAP FOR BRAINLEST SUPER EASY QUESTION!!!!!!!!!!!!!!!!!!!!
what are 3 mathematical facts you can find in a rectangular prism?

Answers

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Answer:According to splashlearn.com they say, "Rectangular prism has 8 vertices, 12 sides and 6 rectangular faces. All the opposite faces of a rectangular prism are equal. A rectangular prism has a rectangular cross section."

I hope this helped!

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- Zack Slocum

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Answer:

Rectangular Prism :

A rectangular prism has 8 vertices, 12 sides and 6 rectangular faces.

All the opposite faces of a rectangular prism are equal. 

A rectangular prism has a rectangular cross section.

Rectangular prisms can be of two types, namely right rectangular prism and non-right rectangular prisms

Please help me with this

Wilbur landed his plane.
The plane's elevation relative to the ground (in meters) as a function of time (in seconds) is graphed.

A. 6 meters per second
B. 5 meters per second
C. 7 meters per second
D. 4 meters per second

Answers

Used Desmos and you’ll get your answer but do like 4m or y=4

Rite Aid sells a six pack of fruit cups for $2.88 what is the unit cost price per fruit cup?

Answers

Answer:

0.48

Step-by-step explanation:

2.88/6=0.48

Answer:

2.88 / 6 = 0.48

Explanation:

a train leaves a station at 18:20 and arrives its destination at 02:28.How long did it take?​

Answers

Answer:

8 hours and 8 minutes

Step-by-step explanation:

there are 24 hours on the clock so if you add 6 to the 24 it would make you be at 0:00 so then you would add 2 hours and since 28 is 8 more than 20 it would be 8 hours and 8 minutes.

if a ferris wheel at the fair has a radius of 18 ft how far will you travel after 8 trips around the ferris wheel

Answers

The answer is 113.1 (rounded) 113.097 (not rounded)

The formula is 2 π r

A cone in the diagram below has a radius (r) of 10mm and its height (h) is 24mm calculate the length of the slant height

Answers

Answer:

26mm

Step-by-step explanation:

by the Pythagorean theorem,

[tex]x^2=10^2+24^2\\x^2=676\\x=26[/tex]

Maximize −4x + 5y + 70 subject to the constraints:

2x + y ≤ 8
x + 3y ≥ 5
x + y ≤ 6
x ≥ 0,
y ≥ 0

a. Fix any constraints, as needed, and then convert the linear programming problem into a system of linear equations.
b. Give a fully labeled initial tableau, and circle the pivot element.

Answers

Answer:

Step-by-step explanation:

[tex]\text{To maximize -4x + 5y + 70 subject to } \\ \\ 2x + y \le 8 --- (1) \\ \\ x + 3y \ge 5 --- (2) \\ \\ x + y \le 6----(3) \\ \\ x \ge 0, y \ge 0[/tex]

[tex]\text{From above equationn (1)} : 2x + y = 8 \\ \\ \text{Divide boths sides by 8} \\ \\ \dfrac{2x}{8} + \dfrac{y}{8} = \dfrac{8}{8}[/tex]

[tex]\dfrac{x}{4} + \dfrac{y}{8} = 1 \\ \\ x = 4; y = 8[/tex]

[tex]\text{From above equationn (2)} : x + 3y = 5 \\ \\ \text{Divide boths sides by 5} \\ \\ \dfrac{x}{5} + \dfrac{3y}{5} = \dfrac{5}{5} \\ \\ x = 5; \ y = 1.66[/tex]

[tex]\text{From above equation (3)} : x + y = 6 \\ \\ \text{Divide boths sides by 5} \\ \\ \dfrac{x}{6} + \dfrac{y}{6} = \dfrac{6}{6} \\ \\ x = 6; \ y = 6[/tex]

[tex]\text{From the image attached below, we can see the representation in the graph}[/tex]

-   [tex]\text{Now from equation (1) ad (III)} \\ \\ 2x + y = 8 \\ \\ x+y = 6[/tex]

                 

    [tex]x[/tex]      [tex]= 2[/tex]

                 

[tex]From : x + y = 6 \\ \\ 2 + y = 6 \\ \\ y = 6-2 \\ \\ y =4[/tex]

[tex]\text{From equation (1) and (II) } \\ \\ \ \ 2x + y = 8 \\ - \\ \ \ x + 3y = 5 \\ \\[/tex]

[tex]-5y = -2 \\ \\ y = \dfrac{2}{5} \ o r\ 0.4 \\ \\ From : 2x+ y = 8 \\ \\ 2x = 8 - \dfrac{2}{5} \\ \\ x = \dfrac{ 8 - \dfrac{2}{5} }{2} \\ \\ x = 3.8[/tex]

Please help I will give brainliest

Answers

Answer:

A.

Step-by-step explanation:

Rectangle: Length * Width

       —> 12 * 2 = 24

Triangle: Base * Height * 1/2

       —> 12 * 2 * 1/2 = 12

Matches answer A.

WILL GIVE BRAINLIEST

Answers

b! you can even look up pythagorean triples to check :)
The correct answer would be B. (3, 4, 5)

(3uv/2u²-2v²)+5uv/3u²+3v2​

Answers

Answer:

19/6 u^3 v + v^2

Step-by-step explanation:

3uv2

u2−2v2+

5uv3

u2+3v2

=32

u3v+−2v2+53

u3v+3v2

Combine Like Terms:

=32

u3v+−2v2+53

u3v+3v2

= (3

u3v+

53

u3v)+(−2v2+3v2)

Please help me, it would be greatly appreciated

Answers

Answer:

y = [tex]-\frac{2}{3}x^{2}[/tex]

This is the answer. Hope this helps!

What’s the value of F ?

F= ??

Answers

Answer: 30  i took a test with that question

Step-by-step explanation:

this is exactly what the question says:
"Solve the following system of equations."
-5x+3y=22
-6x+7y=23
I have to figure out x and y​

Answers

Answer:

x = - 5, y = - 1

Step-by-step explanation:

Given the 2 equations

- 5x + 3y = 22 → (1)

- 6x + 7y = 23 → (2)

Multiplying (1) by - 6 and (2) by 5 , then adding will eliminate the x- term

30x - 18y = - 132 → (3)

- 30x + 35y = 115 → (4)

Add (3) and (4) term by term to eliminate x

0 + 17y = - 17

17y = - 17 ( divide both sides by 17 )

y = - 1

Substitute y = - 1 into either of the 2 equations and solve for x

Substituting into (1)

- 5x + 3(- 1) = 22

- 5x - 3 = 22 ( add 3 to both sides )

- 5x = 25 ( divide both sides by - 5 )

x = - 5

Please help with this.

Answers

Answer:

A and C are the correct options.

15=5x+45

What is the value of x?

Answers

15 = 5x + 45

15 - 45 = 5x

-30 = 5x

-30/5 = x

-6 = x

Answer:

x= -6

Step-by-step explanation:

15=5x+45

15-45=5x

-30=5x

-30/5=5x/5

-6=x

x= -6

60 degrees,60 degrees,4cm Do the following conditions make a unique triangle, more than one triangle or no triangle possible?

Answers

NOT NECESSARILY would a triangle be equilateral if one of its angles is 60 degrees. To be an equilateral triangle (a triangle in which all 3 sides have the same length), all 3 angles of the triangle would have to be 60°-angles; however, the triangle could be a 30°-60°-90° right triangle in which the side opposite the 30 degree angle is one-half as long as the hypotenuse, and the length of the side opposite the 60 degree angle is √3/2 as long as the hypotenuse. Another of possibly many examples would be a triangle with angles of 60°, 40°, and 80° which has opposite sides of lengths 2, 1.4845 (rounded to 4 decimal places), and 2.2743 (rounded to 4 decimal places), respectively, the last two of which were determined by using the Law of Sines: "In any triangle ABC, having sides of length a, b, and c, the following relationships are true: a/sin A = b/sin B = c/sin C."¹

a bag contains 4 red, 3 orange and 5 purple marbles. what is the probability of drawing 2 purple marbles in a row without replacement?

Answers

Step-by-step explanation: this one is for zack!!!!!!!!!

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Answer: 5/33

Explanation:

5/12 x 4/11 =5/33

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Solve | 2x | = | x + 3 | by graphing

Answers

Answer:the answer is 3 and -1

Step-by-step explanation:

X=3

And

X=-1

help me do this i will pick brailest if right and it is 45 points!

Answers

Answer:

8/21

Step-by-step explanation:

Answer:

7/24

Step-by-step explanation:

(1x7) / (3x8) = 7/24

And I am sure

plzzz help will mark you brainliest

Answers

Answer:

C, y =8x

Step-by-step explanation:

As you can see from the table, y is basically x multiplied by 8 at all instances.

Answer: y=8x

Step-by-step explanation:

y=8x means that the number in the y column (the total cost) equals whatever is in the x column (number of tickets) times by 8. The reason you do times is because in algebra when a number is next to a letter it means times.

So, you can test it using the data in the table:

16=2×8

24=3×8

32=4×8 etc.

And we know it works.

Hope this helps :)

Solve for x in the triangle. Round your answer to the nearest tenth

Answers

Um is there any attachment?

Help fjdhddjdhdhhdhdhdufh

Answers

Answer:B. 86

Explanation: 1032/12=86

Level 2: Find the area of the shape:
8 ft
6 ft
14 ft
5 ft
5 ft
Area:
ft2
Help please!!!!

Answers

Step-by-step explanation:

a triangle is the area of 2

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