A manufacturer contracts to supply ball bearings with diameters between 24.60 millimeters and 25.40 millimeters. Product analysis indicates that the ball bearings manufactured have diameters that are normally distributed with a mean of 25.10 millimeters and a standard deviation of 0.20 millimeters. What percentage of ball bearings fail to satisfy the contract specifications?

Answers

Answer 1

Answer:

7.3%

Step-by-step explanation:

to get this percentage, we need to use the z-score calculation;

z-score = (x-mean)/SD

mean = 25.10 , SD = 0.2

For diameter 24.60

z-score = (24.6-25.10)/0.2 = -0.5/0.2 = -2.5

For diameter 25.40

z-score = (25.4-25.1)/0.2 = 1.5

So the proportion that will satisfy the specifications will be;

P(-2.5 < z < 1.5)

At this point, we use the standard normal table

P(-2.5 < z < 1.5) = P (z<1.5) - P (Z < -2.5)

From standard normal table;

P(Z < 1.5) = 0.9332

P(z < -2.5) = 0.0062

P(-2.5 < z < 1.5) = 0.9332 - 0.0062 = 0.927

So the proportion that meets specification = 92.7% ( same as 0.927)

Proportion failing to meet specification = 100- 92.7% = 7.3%

Answer 2

Answer: The percentage of ball bearings fail to satisfy the contract specifaction is 7.3 %.

Step-by-step explanation:

First we need to find the standard score of 24.60 and 25.40. Using Standard Score formula.

[tex]\frac{24.60 - 25.10}{.20} =-2.5\\\\\frac{25.4 - 25.10}{.20}=1.5[/tex]

now we need to find the percentages of these Z scores.

-2.5 = .0062 or 00.62%

1.5 = .9332 or 93.32%

now we subtract these two to get the in between percentage.

.9332 - .0062 = .927 or 92.7% is what doesnt fail to satifsy the contract spefications! But to find what does fail to satisfy we have to subtract it by 100% or 1.

1 - .927 = 0.073

7.3%


Related Questions

A scale model of a building has a height of 1/5 meter. The scale of the model is 1 cm = 0.5m. What is the height of the building?

Answers

Answer:

2000 meters

Step-by-step explanation:

first you have to convert the meters into centimeters so then 1cm=100 cm

1/5 meter=20 cm

20*100=2000

2000 centimeters or 20 meters

hope this helps

brainliest?

Find the slope of the line whose equation is
2x - 4y = 8.

A. -4
B. 7
C. -1/2
D. 1/2

Answers

Answer:

D)

Step-by-step explanation:

Let the graph of g be a vertical stretch by a factor of 2 followed by a translation 3 units down of the graph of f(x) = x2 Write a rule for g.
g(x) =

Answers

Answer:

g(x)= x2

Step-by-step explanation:

g(x)=x2 = f(x)=x2

The graph of g is a vertical stretch by a factor of 2 followed by a translation of 3 units down of the graph of [tex]\rm f(x) = (x-1)^2[/tex] then the function  [tex]\rm g(x) = 2(x+4)^2[/tex].

Given :

[tex]f(x) = x^2-2x+1[/tex]The graph of g be a vertical stretch by a factor of 3 and a reflection in the y-axis, followed by a translation 2 units left of the graph of  [tex]f(x) = x^2-2x+1[/tex].

The following steps can be used to determine the rule for g:

Step 1 - Rewrite the given function f(x).

[tex]\rm f(x) = (x-1)^2[/tex]

Step 2 - Now, the graph is stretched vertically by a factor of 2.

[tex]= 2(x-1)^2[/tex]

Step 3 - Now, reflect the graph about the y-axis.

[tex]=2(-x-1)^2[/tex]

[tex]=2(x+1)^2[/tex]

Step 4 - Now, move to the left by 3 units.

[tex]=2(x+3+1)^2[/tex]

[tex]=2(x+4)^2[/tex]

Therefore, the function [tex]\rm g(x) = 2(x+4)^2[/tex].

For more information, refer to the link given below:

https://brainly.com/question/20381610

A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 170lb and each box of books weighs 60 lb. The maximum capacity of the elevator is 1240lb. How many boxes of books can the delivery person bring up at one​ time?

Answers

Answer:

17.83 boxes

Step-by-step explanation:

Lets represent the number of boxes of books that can be brought up per time = x

From the question: The delivery person weighs 170lb and each box of books weighs 60 lb. The maximum capacity of the elevator is 1240lb.

Hence we have the Algebraic Expressions

170lb + 60 × x = 1240lb

170lb + 60x = 1240lb

Collect like terms

60x = 1240lb - 170lb

60x = 1070lb

x = 1070lb/60

x = 17.833333333

x = 17.83 boxes

Therefore, the delivery person can bring up 17.83 boxes per time

Which scale factors produce a contraction under a dilation of the original image?

Select each correct answer.


−1.8

−0.8

0.8

1.8

Answers

Answer:

-0.8 and 0.8

Step-by-step explanation:

Answer:

I beleive the answer is -.8 and 0.8

Have A great rest of your day :)

12 - (-19) =
A) -31
B) -7
C) 7
D) 31

Answers

The answer is:

D) 31                    

Hope this helped!      

PLZ HELP! Oliver is 8 feet above the surface of the water. There is a school of fish 10 feet below the surface. A ledge with some seashells is 18 feet below the​ surface, and even​ deeper, there is a shipwreck 32 feet below the surface. Answer parts a and b.
a. How many feet will Oliver have to travel to get to the​ seashells?
Oliver will have to travel ? feet down

Answers

Answer:

26 feet, Oliver will have to travel 26 feet deep.

Step-by-step explanation:

8 feet added to 18 feet will be your answer.

Answer:26 feet, Oliver will have to travel 26 feet deep.

Step-by-step explanation:Okay so if you draw a line graph going vertical and you number it 1-32 ( this is if you have to show work ) a is a 11 feet deeper and b is 23 feet deeper

Teacher says im wrong

Answers

Answer:

121

Step-by-step explanation:

The graph below is a function.

True or false?

Answers

Answer:

true!

Step-by-step explanation:

hi, this graph is a function because it passes the vertical line test. there are no x-values with 2 y-values for the same x.

can someone solve this for me and explain how they solved it !! thanks !

Answers

The answer Is -610 hope it helps

Show work please.... thanks

Answers

Answer:

[tex]x=-155/6[/tex]

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write equation

[tex]\frac{x}{5} -7=\frac{2x+3}{4}[/tex]

Step 2: Solve for x

Convert 7 to fraction: [tex]\frac{x}{5} -\frac{35}{5} =\frac{2x+3}{4}[/tex]Combine fractions: [tex]\frac{x-35}{5}=\frac{2x+3}{4}[/tex]Cross multiply: [tex]4(x-35)=5(2x+3)[/tex]Distribute: [tex]4x-140=10x+15[/tex]Subtract 4x on both sides: [tex]-140=6x+15[/tex]Subtract 15 on both sides: [tex]-155=6x[/tex]Divide both sides by 6: [tex]-155/6 = x[/tex]Rewrite: [tex]x=-155/6[/tex]

Answer:

x = -25.83333333

or as a fraction

-155/6

Step-by-step explanation:

Simplify: (3x2 - 4x+6) + (7x-2)
OA. 3x2 + 3x + 4
OB. 3x2-11X-8
OC. 3x2 + 11x + 4
OD.
10.x2 - 6x + 6

Answers

Answer:

3x^(2)+3x+4

Step-by-step explanation:

Answer:

[tex]3x^{2} +3x+4[/tex]

Step-by-step explanation:

1.)Remove the parentheses [tex]3x^{2}-4x+6+7x-2[/tex]

2.)Group like terms

3.)Add similar elements -4x-7x=3x = [tex]3x^{2}+3x+6-2[/tex]

4,)Add/Subtract the numbers 6-2=4

5.)[tex]=3x^{2} +3x+4[/tex]

:)Hope you enjoy this:)

Logan went shopping at the mall. He spent $75.43 on shoes, $25.14 for a t‐shirt, and $43.85 on a denim jacket. How much did he spend in all? If Logan paid the cashier $200 in cash, how much money will he get back? *

Answers

Answer:

He spent 144.42   and he got back 55.58

Step-by-step explanation:

Given the parent function f(x) on the left below, which graph could represent g(x) = -f(x) -2

Answers

Answer:

A

Step-by-step explanation:

To do this, you look at each point. What -f(x) means is that you flip the function over the x axis. In this case, c doesn't work. Then, you have to look at the -2 term. That means that the entire function, all the points, are shifted 2 units down. The image isn't very clear for me but I am pretty sure it is A.

Algebra 2 Math question Grade 11
Can anyone please help me with this question? Soon as possible!


Write an equation for the line that passes through the points (3,5) and (-2, 1).

All work must be shown for full credit. Be sure to include slope calculation.

Answers

Answer:

[tex]\displaystyle y=\frac{4}{5}x+\frac{13}{5}[/tex]

Step-by-step explanation:

The equation of the line in slope-intercept form is:

y=mx+b

Where m the slope of the line and b the y-intercept.

When two points are given, it's convenient to calculate the slope first.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The points are (3,5) and (-2,1):

[tex]\displaystyle m=\frac{1-5}{-2-3}=\frac{4}{5}[/tex]

The equation is now:

[tex]\displaystyle y=\frac{4}{5}x+b[/tex]

To calculate b, we use any of the given points and solve for b. Use (3,5):

[tex]\displaystyle 5=\frac{4}{5}3+b[/tex]

Operate:

[tex]\displaystyle 5=\frac{12}{5}+b[/tex]

Solve:

[tex]\displaystyle b=5-\frac{12}{5}=\frac{13}{5}[/tex]

The required equation of the line is:

[tex]\boxed{\displaystyle y=\frac{4}{5}x+\frac{13}{5}}[/tex]

Proving Triangles congruent: ASA, AAS, SAS SSS
Cate:
For each problem give the correct naming order of the congruent triangles Write that name in order on the
lines for the problem number (see box at bottom) Aso indicate which postulate or theorem is being used
2
AVAVAV
N
ASC.
ABC a
by
LABCO

Answers

Answer:

WIR by SAS

EHS by AAS

GTN by SSS

-5(c-2)=20-5c+10
help please

Answers

Answer:

20+10c

Step-by-step explanation:

-5(c)= -5c

-5(-2)=10

-5c+10=20-5c+10

How many group's of 10 are there in 230?​

Answers

Answer:

the answer is 23

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

if you do 230 divided by 10 you get 23, or you can distribute 230 in 10 groups.

Is the difference of 18 and 3 a rational number?

Answers

Answer:

it is a whole number but because rational numbers include all intergers and whole numbers it is also a rational number

Step-by-step explanation:

The difference of 18 and 3 would be 18-3 which is 15. 15 is a rational number. It is an integer, and all integers are rational numbers.

52
If
169
289
, then the value of x is:
58
Ο Ο
b. 52
o
c. 68​

Answers

Answer:

Sorry,didn't understand your question..

btw thanks for free points

[tex]{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{☺☺thanks}}}}}}}}}}}}}[/tex]

Answer:

b

Step-by-step explanation:

A plane ticket to New York costs 120 the tax is 9.5 what is the cost of the flight

Answers

$129.05 I think but I’m not sure

what is 27x18= i dont know it

Answers

The answer is 486. (You can type into a calculator, and if you don’t have a physical one you can always search for an online calculator.)

The area of a square is 77 square feet.
What is the approximate length of each
side of the square?
SIDE LENGTH=?FEET
PLEASE HELPPPP
100 Points

Answers

Answer:

8.8 cm , but not sure.....

Thank you ☺️

the cost, c(x) for a taxi ride is given by c(x) = 3x + 2.00 where x is the number of minutes.
on a piece of paper, graph c(x) = 3x + 2.00. then determine which answer matches the graph you drew, including the correct axis labels.

Answers

Answer:

C

Step-by-step explanation:

Because its a cost vs minutes graph, and it starts at (0,2) and goes to (1,5)

Answer:A

Step-by-step explanation:

solve for r step by step v =1/3 IIR^3 h

Answers

Answer:

[tex]r=\sqrt[3]{\frac{3v}{\pi h} }[/tex]

Step-by-step explanation:

The equation is  v=1/3πr³h

Multiply both sides of equation by 3 to get

3v=πr³h

Divide both sides of the equation by πh to get

3v/πh = r³

Apply cube root on both sides of the equation as;

[tex]\sqrt[3]{\frac{3v}{pih} } =r[/tex]

A hospital stores one type of medicine in 2-decagram

containers. Based on the information given in the

box above, how many l-milligram doses are there in

one 2-decagram container?

A) 0.002

B) 200

C) 2,000

D) 20,000

Answers

Answer:

There are 20,000 milligrams in one 2-decagram container . Thus option D is correct.

Step-by-step explanation:

The given information is one type of medicine in 2 decagram container.

Here, we know ,

      1 decagram = 10 grams

and, 1000 milligrams =1 gram

now -: 2 decagram = 2 × 10grams   {since 1decagarm = 10 grams }

                               = 20 grams .

then ,                   = 20× 1000milligrams {since 1 gram = 1000 milligrams}

                           =20,000 milligrams .

Hence, the correct option is D that is 20,000 milligrams .

The regular price of a baseball hat is $16.85. If Emesto buys the baseball hat on sale for 20% off the regular price, how much change will be
receive after paying with $20?

Answers

Answer:

$ 6.52

Step-by-step explanation:

marked price =16.85

discount 20%=3.37

net payable .=.13.48

Amount paid==$ 20

payable .=====13.48

balance to receive=$ 6.52  

grams of Sean made a snack for himself and his friends using 4 slices of multigrain bread and 6 tablespoons of peanut butter. He cut the sandwiches into 8 equal pieces. Each of the 8 pieces had carbohydrates from the peanut butter. Each of the 8 pieces had grams of carbohydrates from the multigrain bread. Food Serving Carbs (g) peanut butter 2 tbsp 6.26 multigrain bread 1 slice 12.1​

Answers

Answer: 4b+5=13 \-x+sqrt1−x 2 \-=sqrt2(2x 2 – 1)

Step-by-step explanation:

Answer:

Each of the 8 pieces had  

✔ 2.3475

grams of carbohydrates from the peanut butter.

Each of the 8 pieces had  

✔ 6.05

grams of carbohydrates from the multigrain bread.

Step-by-step explanation:

(Forgive me for the late answer) Have a good day! :D

What is the value of x? What is the value of y?

Answers

Answer:

x = 45/2y = 10

Step-by-step explanation:

Both angles that have the "x" variable are the same and both angles that the "y" are the same since they are congruent meaning they are the same angle measure.

Solve for x.

6x - 5 = 8x - 50

~Add 5 to both sides

6x = 8x - 45

~Subtract 8 to both sides

-2x = -45

~Divide -2 to both sides

x = 45/2

Solve for y.

2y + 30 = 3y + 20

~Subtract 30 to both sides

2y = 3y - 10

~Subtract 3y to both sides

-y = -10

~Divide -1 to both sides

y = 10

Best of Luck!

Please help me we can high five or sumn :)

Answers

Answer:

Its either the 1,2,3, or 4

BHAHABSHABIDBSHBDIHVIHA

jk

The answer is -9,-1

Have a good day:)

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The answer is (-9,-1)

If you graph them you could see that this point isn't in the shaded area.

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