Precision manufacturing: A process manufactures ball bearings with diameters that are normally distributed with mean 24.4 millimeters and standard deviation 0.07 millimeter. Round your answers to at least four decimal places. (a) What proportion of the diameters are less than 24.3 millimeters? (b) What proportion of the diameters are greater than 24.6 millimeters? (c) To meet a certain specification, a ball bearing must have a diameter between 24.2 and 24.5 millimeters. What proportion of the ball bearings meet the specification? Part: 0 / 30 of 3 Parts Complete Part 1 of 3 What proportion of the diameters are less than 24.3 millimeters? The proportion of the diameters that are less than 24.3 millimeters is .

Answers

Answer 1

Answer:

Z = x - µ / ∂

  = 24.2 – 24.6 / 0.07

   =-0.4/ 0.07

  = -5.71

Step-by-step explanation:

Solution:

Mean = µ = 24.4mm

Standard deviation = ∂= 0.07 mm

(a) Diameter less than 24.3 mm

P(x < 24.3)

The formula for normalized z value:

Z = x - µ / ∂

  = 24.3 - 24.4 / 0.07

  = - 0.1 / 0.07

 = -1.4286

P(z  < -1.428) = 1 – p ( z > -1.428)

                       = 1 – p( z < 1.42)

                         =1 – 0.4233

                         = 0.5767

(b) Diameter greater than 24.6 mm

P( x > 24.6)

The formula for normalized z value:

Z = x - µ / ∂

  = 24.3 – 24.6 / 0.07

   =-0.3 / 0.07

   = - 4.285

P( z > -4.285) = 1 – p(z < -4.285)

                        = 1 – p ( z > 4.285)

                        =

(c) Diameter between 24.2 and 24.5 mm.

P(x > 24.5)

Z = x - µ / ∂

  = 24.5 – 24.6 / 0.07

   =-0.1/ 0.07

   = -1.4286

P(z  < -1.428) = 1 – p ( z > -1.428)

                       = 1 – p( z < 1.42)

                         =1 – 0.4233

                         = 0.5767

P(x < 24.2)

Z = x - µ / ∂

  = 24.2 – 24.6 / 0.07

   =-0.4/ 0.07

   = -5.71


Related Questions

The data set below has 7 values.
Find the mean absolute deviation for the data set.
If necessary, round your answer to the nearest hundredth.
22, 16, 20, 21, 23, 17, 14

Answers

Answer:

19

Step-by-step explanation:

First, You want to add all of the data below and you get 133 and with that data you divide 133 by 7 because you have 7 values. I hope i'm right and have a great day :)

which of the following measures can have more than one value for a set of data?

A. Mean
B. median
C. mode
D.range


Answers

Answer:

C. mode

Step-by-step explanation:

The median and mean can only have one value for a given data set. The mode can have more than one value (see Mode section on previous page).

What is the constant of proportionality?

Enter your answer in the box.

Answers

Answer:

  12

Step-by-step explanation:

The constant of proportionality is the slope of the line, the ratio of the y-coordinate to the x-coordinate.

  k = 36/3 = 12 . . . . . from the lower left point (not the origin)

__

Additional comment

This comes from the equation for a proportion:

  y = kx

Solving for k, we get ...

  k = y/x

A proportion always graphs as a line through the origin. The slope of it is k, the constant of proportionality.

The length of a rectangular parking area is two times the width. The perimeter is 90 ydFind the length and width of the parking area.

Answers

Question :-

The Length of a Rectangular Parking Area is Two times the Width. The Perimeter is 90 yards . Find the Length and Width of the Parking Area .

Answer :-

Length of Parking Area is 15 yards .Width of Parking Area is 30 yards .

Explanation :-

As per the provided information in the given question, we have been given that the Length of a Rectangular Parking Area is Two times the Width . The Perimeter is given as 90 yards . And, we have been asked to calculate the Length and the Width .

Let the Values be like :-

Length = xBreadth = 2x

Now, for calculating the Length & Width , we will use the Formula :-

[tex] \bigstar \: \: \boxed{ \sf{ \: Perimeter \: _{Rectangle} \: = \: 2 \times [ \: Length + Breadth \: ] \: }} [/tex]

Therefore , by Substituting the given values in the above Formula :-

[tex] \dag \: \: \: \sf{Perimeter \: _{Rectangle} \: = \: 2 \: \times \: [ \: Length \: + \: Breadth \: ]} [/tex]

[tex] \longmapsto \: \: \: \sf { 90 \: = \: 2 \: \times \: [ \: x \: + \: 2x \: ]} [/tex]

[tex] \longmapsto \: \: \: \sf {90 \: = \: 2 \: \times \: [ \: 3x \: ]} [/tex]

[tex] \longmapsto \: \: \: \sf {90 \: = \: 2 \: \times \: 3x } [/tex]

[tex] \longmapsto \: \: \: \sf {90 \: = \: 6x } [/tex]

[tex] \longmapsto \: \: \: \sf {x \: = \: \dfrac { \: 90 \: }{6}} [/tex]

[tex] \longmapsto \: \: \textbf {\textsf{ x \: = \: 15}} [/tex]

Therefore :-

[tex] \Longrightarrow \: [/tex] Length = x = 15 yards

[tex] \Longrightarrow \: [/tex] Breadth = 2x = 2 × 15 = 30 yards

[tex] \underline {\rule {210pt} {4pt}} [/tex]

Note :-

Kindly Scroll the Screen from Right to Left for Better View .

The Length of Parking Area is 15 yards  and the Width of Parking Area is 30 yards .

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The Perimeter is given as 90 yards. we have been asked to calculate the Length and the Width .

Let the Values be like :-

Length = x

Breadth = 2x

Now, we will use the Formula :-

Perimeter = 2(L + B)

By Substituting the given values in the above Formula :-

Perimeter = 2(L + B)

90= 2(x + 2x)

90= 2(3x)

45 = 3x

x = 15

Therefore :-

Length = x = 15 yards

Breadth = 2x = 2 × 15 = 30 yards

Learn more about the area;

https://brainly.com/question/1658516

#SPJ2

A family has two cars. The first car has fuel efficiency of 30 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas. During one particular week, the two cars went a combined total of 2150 miles, for a total gas consumption of 60 gallons, How many gallons were consumed by each of the two cars that week?

Answers

Answer:

the first car has 25 gallons of gases while the second car has 35 gallons of gases

hi can youhelp me plese

Answers

The mid for this graph is where the middle for the function is and it’s y= -1

What is the least common multiple of 4 and 12? 4 12 24 D48​

Answers

Answer:

12

Step-by-step explanation:

A store sells ice cream with assorted toppings. They charge $$$3.00 for an ice cream plus $$50 cents per ounce of toppings.

How much does an ice cream cost with $$11 ounces of toppings?

Answers

Answer:

$5.50

Step-by-step explanation:

so if its $3 for an ice cream plus .50 cents per ounce all you have to do is 11 x 0.50 witch would equal $ 5.50.

Solve-3.5+4.2=?solve

Answers

7.7 the answer in 7.7 because 2+5 = 7 and 3+4= 11

Answer:

Step-by-step explanation:

  0.7

 -3.5

+ 4.2

______

find the slope of the line that passes through the points A(-6,2) and B(5,-1).

A 3/11
B -3/11
C -1
D -11/3​

Answers

Answer:

[tex]\boxed{\sf{m=-\dfrac{3}{11} }}[/tex]

Step-by-step explanation:

You simply need to use a slope formula that passes through the points in order to solve this problem.

Slope:

[tex]\sf{\dfrac{Y_2-Y_1}{X_2-X_1}=\dfrac{RISE}{RUN} }[/tex]

y2=(-1)

y1=2

x2=5

x1=(-6)

Rewrite the problem down.

[tex]\sf{\dfrac{-1-2}{5-(-6)}=\dfrac{-1-2}{5+6}=\dfrac{-3}{11}=\boxed{\sf{-\dfrac{3}{11} }}}[/tex]

-3/11

Therefore, the slope is -3/11, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

Identify the mistake and write down the correct answe 2/5 + 1/3 = 3/8

Answers

Answer:

The mistake is that the denominators are not the same in these fractions so you cannot add them yet. So, you would have to change the denominators to be the same before adding. The denominators I chose is 15, 2/5 times 3 which is equal to 6/15 and 1/3 times 5 which is equal to 5/15. Now, we can add 6/15 and 5/15 which is equal to 11/15!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

The value of square root of 35 is between 5 and 6. Which of the following is a more precise approximation of square root of 35?

Answers

Answer:6

Step-by-step explanation:

because [tex]\sqrt{35}[/tex] is closer to 6 than 5 and is also about 5.9...

QUICKKKKKKKKKKKKKKKKKKKKKK PLSSSSSSSSSS
ILL MAKE U BRAINLYEST oops spelt it wrong anyway QUICKKKKKKKK IM ON A TIMER!!!!!!!

Answers

The answer is 2/25 (B)

which statement describes the point (8, 5) ?

A. the value of the x-coordinate is 5 and the point is above the x-axis

B. the value of the y-coordinate is 5 and the point is above the y-axis

C. the value of the x-coordinate is 8 and the point is to the right of the origin

D. the value of the y-coordinate is 8 and the point is above the x-axis

Answers

Answer:

C is the correct answer

pls answer this all pls quickly now​

Answers

Answer:

1. 35 minutes

2. 12:15 p.m.

3. 110 minutes

4. 6:05 p.m.

5. 9:21 a.m.

Step-by-step explanation:

1. Subtract 2:55 from 3:30 = 35

2. Subtract 25 minutes from 12:40 = 12:15

3. Subtract 7:20 from 9:10 = 110

4. Add 35 minutes to 5:30 = 6:05

5. Subtract 33 from 9:54 = 9:21

Jeff makes $30 to mow lawns plus $2 per hour. If Jeff made #38 for one lawn, how many hours did he work?​

Answers

Answer:

4 hours

Step-by-step explanation:

What I did was since he automatically makes 30 dollars when mowing lawns, you can take it away then you have 8 and divide it by 2 then get 4 hours

Kammi wrote the numbers -3, -3.5, 4, and -4.5 in order from least to greatest. How did she write the numbers?

Answers

Since she is writing the numbers from least to greatest, they would be written like this:

-4.5, -3.5, -3, 4

The greater the negative number, the more the value decreases. Negative numbers are always less than non-negative numbers.

By the age of 27 justin had visited 25 of the 50 states what fraction of the states had justin visited
A:2/1
B:25/50
C:1/2
D:1/3

Answers

Answer:

Answer is B

Step-by-step explanation:

Answer:

Hello...

Step-by-step explanation:

The answer is:c)1/2

25/50=5/10=1/2

HOPE IT HELPS YOU DEAR....


Dan drinks 6 more glasses of water than Becky.
Becky drinks 5 glasses of water.

How many glasses of water did Dan drink?

Answers

Answer:

Dan drank 11 glasses of water

Step-by-step explanation:

5 + 6 = 11

Answer:

11

Step-by-step explanation:

5+6=11

The ratio of left-handed students to right-handed students in Mr. Johnson's first period class is 2: 3. If there are 30 students in this class, how many are left-handed?

Answers

12 students are left handed.

i hope this helps!:)

Answer:

12 left-handed students

Step-by-step explanation:

The ratio 2:3 indicates 2 left-handed students for every 3 right-handed students.  This means 2 left-handed students are expected for every 5 total students.  You can use this information and set up and solve the proportion 2/5 = x/30

If I dilate a 2x2 square by a scale factor of 3, what will be the new area?

Answers

Answer:

36 square units

Step-by-step explanation:

A 2x2 square has sides that are 2 units long.

When you dilate by a factor of 3, each side has a length 3 times the original length. 2 * 3 = 6. Each side is now 6 units long.

area = side * side = 6 units * 6 units = 36 units^2

Assume the total cost of a tertiary education will be R75 000 when your child enters university in 18 years. You presently have R7 000 to invest. What rate of interest must you earn on your investment to cover the cost of your child’s tertiary education?

Answers

Answer: you need 5000 more

Step-by-step explanation: 70000 + 5000= 75000

Drag each expression to show whether it is equivalent to 36x+9 or 9(4x−1).

Answers

Answer:

It is not equivalent.

Step-by-step explanation:

9(4x-1) simplifys out to 36x-9.

how do i solve this can someone give me the answer

Answers

Answer:

I don't see a question, so it Imma answer how it seems.

It looks like it's B. x < -6.

(You can tell bc the circle is open and the arrow is pointing left.)

I think this is right

Step-by-step explanation:

In
= 2n+2n²
find the first five terms

Answers

[tex]t(n) = 2 {n}^{2} + 2n [/tex]

_________________________________

[tex]t(1) = 2 ({1})^{2} + 2(1) [/tex]

[tex]t(1) = 2 \times 1 + 2 \times 1[/tex]

[tex]t(1) = 2 + 2 = 4[/tex]

##############################

[tex]t(2) = 2 ({2})^{2} + 2(2) [/tex]

[tex]t(2) = 2 \times 4 + 2 \times 2[/tex]

[tex]t(2) = 8 + 4 = 12[/tex]

##############################

[tex]t(3) = 2 ({3})^{2} + 2(3) [/tex]

[tex]t(3) = 2 \times 9 + 2 \times 3[/tex]

[tex]t(3) = 18 + 6 = 24[/tex]

##############################

[tex]t(4) = 2 ({4})^{2} + 2(4)[/tex]

[tex]t(4) = 2 \times 16 + 2 \times 4[/tex]

[tex]t(4) = 32 + 8 = 40[/tex]

##############################

[tex]t(5) = 2 ({5})^{2} + 2(5) [/tex]

[tex]t(5) = 2 \times 25 + 2 \times 5[/tex]

[tex]t(5) = 50 + 10[/tex]

[tex]t(5) = 60[/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Kristen drinks 0.5 liter of orange juice with breakfast each day for 15 days . how many milliliters of orange juice does Kristen drink during the 15 days?​

Answers

Answer:

7500 ml

Step-by-step explanation:

first times 0.15 x 15

you get 7.5 liters during the 15 days

convert that into milliliters and its 7500ml

Solve 2x + 8 + 5x - 2 = 90

Answers

Answer:

x=12

Step-by-step explanation:

Let's solve your equation step-by-step.

2x+8+5x−2=90

Step 1: Simplify both sides of the equation.

2x+8+5x−2=90

2x+8+5x+−2=90

(2x+5x)+(8+−2)=90(Combine Like Terms)

7x+6=90

7x+6=90

Step 2: Subtract 6 from both sides.

7x+6−6=90−6

7x=84

Step 3: Divide both sides by 7.

7x7=847

x=12

Suppose you won 10,000,000 in the lottery.
How much do you think you will have to pay in taxes?
How did you determine this?

Answers

Answer:

nothing

Step-by-step explanation:

i live in kregon

If h(x) = 2x+3 and g(x) = 3x-2, find the value of goh(5).​

Answers

Answer:

h(x)=2x+3

g(x)=3x-2

First we will find goh(x) then we will put the value of x i.e 5.

goh(x)= 3(2x+3)-2

goh(x)=6x+9-2

goh(x)=6x+7

Now put the value of x, we get

goh(5)=6(5)+7

We get the answer 37

Step-by-step explanation:

question is attached thank you so much ​

Answers

Ratio remains same

[tex]\\ \sf\longmapsto \dfrac{18}{27}=\dfrac{x}{45}[/tex]

[tex]\\ \sf\longmapsto 2/3=x/45[/tex]

[tex]\\ \sf\longmapsto 3x=90[/tex]

[tex]\\ \sf\longmapsto x=30[/tex]

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