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

30 pts! Will make brainliest
Ben tracked the attendance in his class over a period of time and recorded the data in a frequency table.

Create a dot plot for the data in the table. Hover over each number on the number line. Then click and drag up to create the dots

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The data recorded by Ben shows the attendance log of his classmates over a given period of time.

What is a Dot Plot?

This refers to a simple chart that resembles a histogram that is used to represent small data.

Hence, we can see that because Ben tracked the attendance of the class over a given time period with the frequency on a frequency table, a sample of a dot plot has been provided below,

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Answer: took the

Step-by-step explanation:

Solving systems by substitution

Answers

Tank 1: v = 1540 - 6m

Tank 2: v = 236 + 6m

109 minutes, less than two hours, since two hours is 120 minutes (60 minutes in one hour, times 2)

Set them equal to each other to find out when they will have the same number of gallons: 1540 - 6m = 236 + 6m

1304 = 12m
108.667 rounded to the nearest minute is 109 minutes, which is the answer.


The classroom has 10 desks with boys and
girls. Show one combination of boys and
girls

Answers

Answer:

one combination could be 6 girls and 4 boys

Sally has seventy dollars to spend on eight books. After buying them she had thirteen dollars. How much did each book cost?

Answers

Answer:

7.13 each

Step-by-step explanation:

70 - 13 = 57. Divide 57/8 and get your answer

(7.125 rounded is 7.13)

The local library has a children’s section with picture books and chapter books. The ratio is 2:3. If there are a total of 500 books in the children’s section, then how many chapter books are in the section?

Answers

Answer:

300, I think.

Answer:

there are 300 chapter books in the children's section

Step-by-step explanation:

the way you'd solve these kinds of problems is to turn it into an equation.

the ratio of 2:3 with a total of 500

becomes

2x + 3x = 500

2x + 3x = 500

combine like terms

5x = 500

divide both sides of the equation by 5

5x/5 = 500/5

x = 100

now, substitute x in the original equation.

2x + 3x = 500

200 + 300 = 500

There are 300 chapter books

can someone please help me

Answers

Answer:

18=2x+7, The internship pays $5.50 an hour.

Step-by-step explanation:

The box on the far left is the amount the student is paid at their job, which is $18 an hour in this case. Solve 18-7 to get 11, then divide 11 by 2 to get the pay for the internship. To check your work, plug 5.50 into the equation.

18=2(5.50)+7

18=11+7

18=18

Answer:

The equation would be:

18 = 2x + 7

The internship pays $5.5 an hour

Step-by-step explanation:

18 - 7 = 2x

(Since we moved the 7 to the other side, in order to combine like terms)

11 = 2x

(Divide both sides by 2)

5.5 = x

(x = 5.5)

x would be the pay the internship pays an hour.

(Sorry if this is wrong, notify me if it is, and I'll delete this post Xc)

PLEASE HELP!! I NEED THESE BONUS POINTS!! If you do answer plz answer all of them. Thank you! I will choose brainiest ;)

Answers

Answer:

7-9 you need to plug numbers into the formula y= mx+b where you plug the plots in M and B.

Step-by-step explanation:

I don't have a graph to plot 1-3 on but all you need to do is plot them and answer if they are parallel, perpendicular, or neither. (The property extends to other related geometric objects. A line is said to be perpendicular to another line if the two lines intersect at a right angle.) (In math, parallel means two lines that never intersect — think of an equal sign.) And if they don't fit either then its NEITHER

4. For a function that models a real-world situation, the dependent variable
y represents a person's height. What is a reasonable range? Explain.
HURRY!!!! ASAP!!!!

Answers

Answer:

Age

Step-by-step explanation:

Typically the older you get, the taller you grow

how do you write 2/11 as a decimal using long division​

Answers

Answer:

0.18

Step-by-step explanation: Converting the fraction 2/11 into a decimal is very easy. To get 2/11 converted to decimal, you simply divide 2 by 11.

Answer:

About 0.18

Step-by-step explanation:

Divide 2 by 11

Which are irrational and which are rational ?

Answers

Answer: 8/9 is rational

.2593 irrational

square root of 7: irrational

square root of .25 is rational

square root of 14: irrational

0 is a: rational

square root of 280: irrational

square root of 35: is irrational

.2222: is rational

square root of 3r is a rational number......

Step-by-step explanation:

Tien Chou's tax return for last year shows a total tax of $8,278. Tien's employer withheld $8,450 from her wages during the year. What refund should Tien receive

Answers

Answer: 16,728

Step-by-step explanation:

Find the equation of the line from the following graph in slope-intercept form:
A) y = 3/2x + 2
B) y = -3/2x + 2
C) y = -2/3x + 2
D) y = 2/3x + 2

Answers

Answer: the slope is -3/2x and B is the only one that SLOPE

Step-by-step explanation:

RISE/RUN

IT WENT UP 3 AND WENT 2 TO THE LEFT

BTW: TO THE LEFT IS NEG AND POS IT TO THE RIGHT

so the slope is a neg be it is going toe the up towards left

What is x if f(x)=-2

Answers

f(x) = -2

f(x) is the same thing as x

f(x) is the same thing as -2

Now think about it. If f(x) and -2 are the same thing, what is x?

What distribution of clothing should Nancy have for German males and females? Should she produce more small or large sizes, or should she have an even distribution of all sizes?

Answers

Answer: I sacrificed my answer for yours here u go love

Step-by-step explanation:

Nancy should produce more large sizes of the male clothing for German men since the data is skewed left, meaning there are more data values that lie on the right side, representing taller males. For women, she can have a roughly even distribution of sizes since the data set is symmetric.

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What is skewness in histogram?Skewness is the tendency for the values to be more frequent around the high or low ends of the x-axis.Skewness is the measure of the asymmetry of a histogram (frequency distribution). A histogram with normal distribution is symmetrical.

Given is to find what distribution of clothing should Nancy have for German males and females.

The shape of the data for German male adult heights is skewed left, but the shape of the data for female adult heights is close to symmetric. So, the distribution of the data is not the same. Each data set has the same minimum height of 145 centimeters. However, the maximum male adult height is 220 centimeters and the maximum female height is 185 centimeters. So, the range of values is not the same. The data for male adult heights has an outlier, but the data for female adult heights doesn't have any outliers.

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Therefore, Nancy should produce more large sizes of the male clothing for German men and for women, she can have a roughly even distribution of sizes since the data set is symmetric.

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3(y – 5) + 2 = 5
A. y = 4
B. y = 7
C. y = –4
D. y = 6

Answers

Answer:

y = 6

Step-by-step explanation:

Step 1: Write equation

3(y - 5) + 2 = 5

Step 2: Solve for y

Distribute 3: 3y - 15 + 2 = 5Combine like terms: 3y - 13 = 5Add 13 to both sides: 3y = 18Divide both sides by 3: y = 6

Step 3: Check

Plug in y to verify it's a solution.

3(6 - 5) + 2 = 5

3(1) + 2 = 5

3 + 2 = 5

5 = 5

6 fall between what two intergers

Answers

Answer:

5 and 7

Step-by-step explanation:

5 and 7 are the nearest integers, and 6 is right in between them

Answer:

5 and 7.

Step-by-step explanation:

Integers are whole numbers, therefore numbers such as 5 or 6 would be an integer, but something like 3.5 or a fraction would not be an integer. Hope this helps!

Need some help please...

Answers

Answer:

C: Starting at 1103 you gain 91 feet each additional hour of climing.

Step-by-step explanation:

A drink is mixed in the ratio
lemonade : orange : cranberry = 6 : 3 : ?
If the fraction for cranberry juice is 3/12, what would be the missing number in the ratio?

Answers

Answer:

3

Step-by-step explanation:

 Drink mix ratio:

        Lemonade   :    Orange      :     Cranberry

                 6           :          3          :          C

  Fraction  of Cranberry juice  = [tex]\frac{3}{12}[/tex]

Sum of the ratio = 6 + 3 + C  = 9 + C

   Fraction of Cranberry;

                [tex]\frac{C}{9 + C}[/tex]   = [tex]\frac{3}{12}[/tex]

               3(9 + C)  = 12C

               27 + 3C  = 12C

               27  = 12C - 3C

                9C  = 27

                   C = 3

The missing number will be 3

How to solve (x-10)(x + 10)

Answers

Answer:

x² - 100

Step-by-step explanation:

Use the FOIL method. The FOIL method is the way in which you multiply the terms:

FOIL stands for First, Outside, Inside, Last. Multiply:

First:

x * x = x²

Outside:

x * 10 = 10x

Inside:

-10 * x = -10x

Last:

-10 * 10 = -100

Combine like terms:

x² + 10x - 10x - 100

x² + (10x - 10x) - 100

x² - 100

x² - 100 is your answer.

~

Answer:

x^2-100

Step-by-step explanation:

Use the F.O.I.L method

x^2+100x-100x-100

Question
1 pts
I bought a new bike! It was originally $600 but I had a 25% coupon. What
was the discount?
O $25
O $150
O $450
$1000
Question 3
1 pts
I NEED THIS DONE ASAP

Answers

Answer:

b or 150

Step-by-step explanation:

the set of types of matter
well difined or not​

Answers

Answer:

It is not well defined.

Step-by-step explanation:

Because set is a collection of well defined objet. And matter contains of solid, liquid and gas

A ball held 2.0 meters above the floor has 59 joules of potential energy. The ball’s mass
the answer3

Answers

Answer:

Step-by-step explanation:

potential energy=mgh

59=m×9.8×2

19.6 m=59m=59/19.6≈3.01 gram

this problem makes me wanna cry

Answers

Answer:

k=45

Step-by-step explanation:

its an isosceles triangle, so k=45

to check it, 45+45+90=180

Help Asap ! Find The Measure Of Angle A In The Triangle.

Answers

Answer: m<A = 35

Step-by-step explanation: The sum of the measures

of the interior angles of a triangle is 180°.

So we can setup the equation 3x + 5 + 8x + 65 = 180.

Combining our numbers and variables on the left, we have 11x + 70 = 180.

Now subtract 70 from both sides to get 11x = 110.

Dividing both sides by 11, we find that x = 10.

In the diagram, the m<A is represented as 3x + 5.

Plugging a 10 in for x, we have 3(10) + 5 or 30 + 5 which is 35.

So the m<A = 35.

what is the midpoint of (-9, -4) and (-6, -3) ?

A (-3, -2)
B (3, 2)
C (-3, 12)
D (-12, -5)

Answers

Answer: c hope this helps

11.0453610171873

Midpoint

(−6.5,3.5)

Slope

11

x intercept

−6.82

y intercept

75.00

Step-by-step explanation:

A tree initially measured 38 1/2 feet tall. Over the next 5 1/2 years, it grew to a final height of 49 1/2 feet. During those 512 years, what was the average yearly growth rate of the height of the tree? (I NEED THE ANSWER ASAP IF YOU CANT ANSWER IT its fine:)

Answers

Answer:

2 feet per year

Step-by-step explanation:

please help need asap

Answers

Answer:

b and e.

Step-by-step explanation:

You will find this by solving each equation for 15b (get 15b by itself)

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-1, -6), B(-1,7), C(1, 7), and D(1, -6). Given these coordinates, what is the length of side AB of this rectangle?

Answers

Answer:

13

A(-1, -6), B(-1,7)

7-(-6)=13

Answer:

13

Step-by-step explanation:

Lena says that and are like terms. Is she correct? Why or why not? A. No, because the same variables are not raised to the same powers. B. Yes, because both terms have a variable with a power of 3 and a power of 1. C. Yes, because both terms have an x and a y. D. No, because the two terms do not have the same coefficients.

Answers

Answer:

D because of the question

No, because the same variables are not raised to the same powers. which is the correct answer would be an option (A).

What is a polynomial?

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

What is an exponential function?

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = aˣ  in mathematics, where x is the independent variable

Lena says that 4xy³ and -5x³y are like terms

⇒ 4xy³ and -5x³y

Here both polynomials are not like terms, because the same variables are not raised to the same powers.

Therefore, the correct answer would be an option (A).

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The question seems to be incomplete the correct question would be

Lena says that 4xy³ and -5x³y are like terms. Is she correct? Why or why not?

6
Directions - Determine the correlation for the situation. Choose Positive/ Negative/ or No correlation for each.
The outside temperature in the summer and the cost of the electric bill (for air conditioning).
A) Positive correlation
B Negative correlation
No Correlation

Answers

Probably No correlation because they don't relate to each other

As the temperature in the summer goes up, so does the cost to supply cooling to the house (the AC has to work harder due to higher level of heat)

A is correct - they both increase and decrease together
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