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

Which one doesn't belong?Explain why

Answers

Answer:

6 or 33percent

Step-by-step explanation:

because he don't have a numerator

because he is not belong to the group the three is fraction and the first one is a percent

Answer:

 [tex]\huge\boxed{.6}[/tex]

Solution Steps:- Which doesn't belong -

______________________________

- A rational number is a terminating or repeating decimal.

- An irrational number is when you can't write that number as a fraction.

Rational or Irrational: [tex]33[/tex]% = Rational number. ([tex]33[/tex]% = [tex]0.33[/tex], This is a terminating decimal.)[tex]\frac{1}{3}[/tex] = Rational number. ([tex]\frac{1}{3}[/tex] = [tex]0.3[/tex], This is a repeating decimal.)[tex]\frac{5}{3}[/tex] = Rational number. ([tex]\frac{5}{3}[/tex] = [tex]1.6[/tex], This is a repeating decimal.) [tex]\frac{}{.6}[/tex] = Irrational number. (You can't turn this into a true fraction, therefore it's irrational.)

______________________________

Hope this helps!

If you have anymore questions, or need help with anything else, feel free to ask!

plzzz help
find the slope​

Answers

I need a clearer picture, can you try to show the whole thing?

The probability that a randomly selected 2 2​-year-old male garter snake garter snake will live to be 3 3 years old is 0.98861 0.98861. ​(a) What is the probability that two randomly selected 2 2​-year-old male garter snake garter snakes will live to be 3 3 years​ old? ​(b) What is the probability that seven seven randomly selected 2 2​-year-old male garter snake garter snakes will live to be 3 3 years​ old? ​(c) What is the probability that at least one of seven seven randomly selected 2 2​-year-old male garter snake garter snakes will not live to be 3 3 years​ old? Would it be unusual if at least one of seven seven randomly selected 2 2​-year-old male garter snake garter snakes did not live to be 3 3 years​ old?

Answers

Answer:

a. [tex]Probability = 0.97735[/tex]

b. [tex]Probability = 0.92294[/tex]

c. [tex]P(At\ Least\ One) = 1[/tex]

No, it is not unusual if at least 1 lives up to 3.

Step-by-step explanation:

Given

Represent the probability that a 2 year old snake will live to 3 with P(Live);

[tex]P(Live) = 0.98861[/tex]

Solving (a): Probability that two selected will live to 3 years.

Both snakes have a chance of 0.98861 to live up to 3 years.

So, the required probability is:

[tex]Probability = P(Live)\ and\ P(Live)[/tex]

[tex]Probability = 0.98861 * 0.98861[/tex]

[tex]Probability = 0.9773497321[/tex]

[tex]Probability = 0.97735[/tex] --- Approximated

Solving (b): Probability that seven selected will live to 3 years.

All 7 snakes have a chance of 0.98861 to live up to 3 years.

So, the required probability is:

[tex]Probability = P(Live)^n[/tex]

Where [tex]n = 7[/tex]

[tex]Probability = 0.98861^7[/tex]

[tex]Probability = 0.92294324145[/tex]

[tex]Probability = 0.92294[/tex] --- Approximated

Solving (c): Probability that at least one of seven selected will not live to 3 years.

In probabilities, the following relationship exist:

[tex]P(At\ Least\ One) = 1 - P(None).[/tex]

So, first we need to calculate the probability that none of the 7 lived up to 3.

If the probability that one lived up to 3 years is 0.98861, then the probability than one do not live up to 3 years is 1 - 0.98861

This gives:

[tex]P(Not\ Live) = 0.01139[/tex]

The probability that none of the 7 lives up to 3 is:

[tex]P(None) = P(Not\ Live)^7[/tex]

[tex]P(None) = 0.01139^7[/tex]

Substitute this value for P(None) in

[tex]P(At\ Least\ One) = 1 - P(None).[/tex]

[tex]P(At\ Least\ One) = 1 - 0.01139^7[/tex]

[tex]P(At\ Least\ One) = 0.99999999999997513055642436060443621[/tex]

[tex]P(At\ Least\ One) = 1[/tex] ---- Approximated

No, it is not unusual if at least 1 lives up to 3.

This is so because the above results, which is 1 shows that it is very likely for at least one of the seven to live up to 3 years

PLEASE HELP!!!!! PEOPLE ARE GETTING THEM WRONG FOR ME!!!

Answers

Answer:

18 lawns

Step-by-step explanation:

Lets take the number of lands that would be mow(ed) in 36 hours as x

Hence,

[tex]Thriugh\ the\ proportion\ method\ , we\ get\ \\\\3 : 6::x:36\\36*3=6x\\\frac{36*3}{6} =x\\\frac{108}{6}=x\\x=18[/tex]

There are 43 children at a school. They want to make teams with 6 children on each team for kickball. Two of the children go home. How many complete teams can they make? Explain.

Answers

Answer:

6 teams

Step-by-step explanation:

They can only make 5 teams with 8 kids on each. 1 child will remain

Kaelyn is reading a book. The books thickness is 25 millimeters. How many of these books would fit on a shelf that is 1 meter long?

Answers

40

1000/25=40

You’re welcome

The number of books that can be fit on a shelf is 1 meter long and will be 40.

What is Algebra?

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

Kaelyn is reading a book.

The book's thickness is 25 millimeters.

Then the number of the books that can be fit on a shelf is 1 meter long will be

Let x be the number of the books.

The thickness of the book in meters will be 0.025 m.

Then we have

0.025x = 1

         x = 1 / 0.025

         x = 40

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

I need help and thanks in advance

Answers

Step-by-step explanation:

b²-4ac

(10)²-4(-4)(-8)

=100+16+32

=148

Discriminant is b^2 -4ac. So it’s (10)^2 - 4 (-4)(-8) = 100 + 128 = 228. When the discriminant is greater than 0 and not a perfect square you have 2 real irrational roots.

How do I find the lcm of a number .
Can you please explain to me

Answers

Let's find the LCM of 30 and 45. One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number.

4x^2 - 9y^6
what patterns can be used ?
please and thank you !!!

Answers

Answer:

B. (U+V)(U-V)

Step-by-step explanation:

Factoring

The given expression is:

[tex]4x^2-9y^6[/tex]

It should be noted that both terms are perfect squares:

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

[tex](3y^3)^2=9y^6[/tex]

Since it's a difference of squares, we need to use the following pattern to factor the required expression:

[tex](U^2-V^2)=(U+V)(U-V)[/tex]

Thus, the answer is

B. (U+V)(U-V)

To estimate the average education level, in years, of residents in a certain county, a marketing team draws a random sample of 100 residents. Their education level averages to about 12.5 years; the standard deviation is about 2.8 years. The team estimates the average education level of all the residents of that county to be 12.5 years with what margin of error, for approximately 90% confidence?

Answers

Answer:

The margin of error is  [tex]E = 0.4606 [/tex]      

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 100

    The sample mean is  [tex]\= x = 12.5 \ years[/tex]

    The standard deviation is  [tex]\sigma = 2.8 \ years[/tex]

From the question we are told the confidence level is  90% , hence the level of significance is    

      [tex]\alpha = (100 - 90 ) \%[/tex]

=>   [tex]\alpha = 0.10[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.645[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>   [tex]E =1.645*  \frac{ 2.8 }{\sqrt{100} }[/tex]

=>   [tex]E = 0.4606 [/tex]      

     

Shelley has a 1 1/2 pound supply of Cat Treats. Each day she gives her kitten 1/8 pound of the treats. How many days will the supply of treats last

Answers

Answer:

The treats will last 12 days.

You are planning a party. The space restriction is such that you can only invite 4 people. There are 9 friends to choose from. In how many ways can you select those 4 people?

a. There are (9-8+7+6(4+3+2+1) many ways.
b. There are (9-4)*(8-3)*(7-2)*(6-1) many ways.
c. There are 9*8*7*6 many ways.
d. There are 9*8*7*6/4*4*3*2*1) many ways.

Answers

Given:

Total number of friends = 9

Number of friend to invite = 4

To find:

The number of ways.

Solution:

We know that, total number of ways to select r items from n items is

[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

So, the total number of ways to select 4 people from 9 friends is

[tex]^9C_4=\dfrac{9!}{4!(9-4)!}[/tex]

[tex]^9C_4=\dfrac{9!}{4!5!}[/tex]

[tex]^9C_4=\dfrac{9\times 8\times 7\times 6\times 5!}{4\times 3\times 2\times 1\times 5!}[/tex]

[tex]^9C_4=\dfrac{9\times 8\times 7\times 6}{4\times 3\times 2\times 1}[/tex]

Therefore, the required number of ways is [tex]\dfrac{9\times 8\times 7\times 6}{4\times 3\times 2\times 1}[/tex].

Note: All options are incorrect.

Isaac surveyed the employees at a law firm. Each employee was asked to record their highest level of education completed. The results are shown in the table below. Highest Level of Education Completed Education Level Percentage High School 5% Community College 10% Four-Year College 60% Graduate School 25% Two-hundred sixty people completed the survey. How many of those people completed graduate school?

Answers

Answer: 65 people completed graduate school.

Step-by-step explanation:

25% of 260 is 65.

Answer:

is 65

Step-by-step explanation:

Got 26 wrong on test

What survival rate in the 10th year would make the average of loss over the 10 year period equal to 38.0%

Answers

Answer: 63%

Step-by-step explanation:

First step

Find the 10th year rate of loss that will make the average of loss over the 10 years to equal 38.0%.

Assume this rate is x;

[tex]\frac{(36.2 + 29.0 + 46.2 + 37.5 + 40.9 + 40.0 + 32.6 + 40.5 + 40.1 + x)}{10} = 38.0\\\\\frac{343 + x}{10} = 38\\\\x = 380 - 343\\\\x = 37[/tex]

x = 37%

Second step - Survival rate

The survival rate is calculated by;

= 1 - rate of loss

= 1 - 37%

= 63%

A scientist is studying the effects of cell phone use on headache rate. She identifies 30 people who use cell phones and 30 who do not. Each of the 60 people is given a questionnaire designed to determine headache frequency. None of the 60 people who participated in the study knew they were part of a study. Which statement is true?

Answers

Answer:

C this is a double blind study.

Step-by-step explanation:

Both groups in the experiment are blind (don't know they are in an experiment). If this answer is incorrect then its A.

Answer:

observational study

Step-by-step explanation:
the experimenters are not blind to their own tests.

Solve.
Question in a triangle, the measure of the first angle is four times the measure of the second
angle. The measure of the third angle is 78° more than the second angle. What is the
measure of the first angle?
17°
95°
68°
43°
< Previous
Next >
No new data to save last checked at 10:16 nm

Answers

Answer:

The first angle is 68.

Step-by-step explanation:

[tex]x_{1}+x_{2}+x_{3}=180\\x_{1} = 4*x_{2}\\x_{3}=x_{2}+ 78\\4*x_{2} + x_{2} + x_{2}+ 78 = 180\\6*x_{2}=102\\x_{2} = 17\\[/tex]

So [tex]x_{1}=68[/tex] and [tex]x_{3}=95[/tex]

Means and SDs. For each part, compare distributions (1) and (2) based on their means and standard deviations. You do not need to calculate these statistics; simply state how the means and the standard deviations compare.


A)


1) 3, 5, 5, 5, 8, 11, 11, 11, 132) 3, 5, 5, 5, 8, 11, 11, 11, 20B)1) -20, 0, 0,0,15, 25, 30, 302) -40, 0,0, 0,15, 25, 30,30


C)


1) 0,2,4,6,8,10


2) 20, 22, 24, 26, 28, 30


D)


1) 100, 200, 300, 400, 500


2) 0, 50, 300, 550, 600

Answers

Answer:

hfiwadhcase9iskoalsuhc;AJDSLASHDOIAWNHEOJOSED

Step-by-step explanation:

??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????

7. You have been hired by a company to write a report on Internet companies’ Wi-Fi ranges. They have requested that all values be reported in feet using scientific notation.


Bonnewell’s Internet Company boasts that its wireless access points have the greatest range. The company claims that you can access its signal up to 3500 feet from its device. A competing company, Johnson’s Wi-Fi, has devices that extend to up to 700 feet.


Rewrite the range of each company’s wireless access devices in feet using scientific notation.








You can determine how many times greater the range of one Internet company is than the other by writing their ranges as a ratio.

Write and find the value of the ratio that compares the range of Bailey’s wireless access devices to the range of Bonnewell’s wireless access devices. Write a complete sentence describing how many times greater Bonnewell’s Wi-Fi range is than Johnson’s Wi-Fi range.


really need this

Answers

Answer: what is the question asking?

Step-by-step explanation:

how many miles are in 50 meters​

Answers

Answer:

0.0310686

Step-by-step explanation:

ANSWER 0.0310686

Step-by-step explanation:

Eh- :P

Which dimensions cannot create a triangle?

three angles measuring 254, 650, and 90°

three angles measuring 50°, 30°, and 100°

three sides measuring 5 in., 12 in., and 13 in.

three sides measuring 4 ft, 8 ft, and 14 ft

Answers

Answer: thirst one can not create a triangle as all triangles are 180 degrees.
and also the fourth can not create a triangle as 8+4=12 and 14 is less than 12.
hope it helps!

What is the length of z? (Round to the nearest tenth)

Answers

Answer:

z = 10.8

Step-by-step explanation:

[tex]9^{2} + 6^{2} = c^{2}[/tex]

81 + 36 = [tex]c^{2}[/tex]

117 = [tex]c^{2}[/tex]

c = [tex]\sqrt{117}[/tex]

c = 10.8

c = z

Find the volume of the prism

Answers

Answer:

do you have an image for that?

Step-by-step explanation:

Find the cardinal number of the given set.


A = {{3, 5, 7, ... 25}}

Answers

Answer:

12

Step-by-step explanation:

The cardinal number of a set is the number of element in the set. Given the set A = {{3, 5, 7, ... 25}}, you can see that the elements of the set are odd numbers from 3 to 25. Writing out the full set;

A = {{3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25}}

Counting the total number of element in the set, you will see that there are only 12 elements in the set. Hence the cardinal number of the set is 12 i.e n(A) = 12

The GCF of 26 39 and 65

Answers

Answer: 13

Explanation:
26 is the smallest number. So do a factor tree for it (2 and 13). Then try dividing those factors with one of the other numbers (ex. 39/2 not equal to a whole number and 39/13 equals to a whole number). Use this factor for the leftover number (65).

Graph f(x)=8+2x. Then find the value of f(x) when x=1/2

Answers

Answer:

9

Step-by-step explanation:

f(1/2)=8+2(1/2)

f(1/2)=8+1

f(1/2)=9

Answer:

f ( 1/2 ) = 9

Step-by-step explanation:

Step 1:

f ( x ) = 8 + 2x          Function

Step 2:

x = 1/2              Given

Step 3:

f ( 1/2 ) = 8 + 2 ( 1/2 )        Input x value

Step 4:

f ( 1/2 ) = 8 + 1        Multiply

Answer:

f ( 1/2 ) = 9

Hope This Helps :)

What is the orders pair that is a solution to this equation, y=x+2

Answers

Answer: These are possible solutions:

(0,2) (1,3) (2,4)

Hope this helps..:)

The length of a bridge is 1.5 cm.Whet is the actual length of the bridge in meters if the map is drawn at a scale of 1:40000

Answers

Answer:

800

Step-by-step explanation:

1:5 and 1:40000

40000/5 is 800

Actual length is 800.

Hope this helps :D

Ryan feeds his chicken 1/ 3 cups of grain per day. The grain container has 6 cups of grain left. For how many days can Ryan feed the chicken?

Answers

Answer:

18 days

Step-by-step explanation:

1 cups=3 days

2 cups=6 days

3 cups=9 days

4 cups=12 days

5 cups=15 days

6 cups=18 days



Travis made a business trip of

195.5 miles. He averaged

53 mph for the first part of the trip and

58 mph for the second part. If the trip took

3.5 hours, how long did he travel at each rate?

Answers

Answer:

At 53 mph, he traveled for 1.5 hours

At 58 mph, he traveled for 2 hours

Step-by-step explanation:

Mathematically;

distance = speed * time

let the time for the first part of the trip be x hours and the second part be y hours

Total hours is 3.5

So therefore;

x + y = 3.5 ••••••••(i)

Now let’s work with the rate

53 mph for x hours = 53 * x = 53x miles

58 mph for y hours = 58 * y = 58y miles

Adding both;

53x + 58y = 195.5 miles ••••••••(ii)

We have two equations to solve simultaneously

From i, x = 3.5 - y

insert into ii

53(3.5-y) + 58y = 195.5

185.5 - 53y + 58y = 195.5

5y = 195.5-185.5

5y = 10

y = 10/5

y = 2 hours

x = 3.5 - y

x = 3.5 - 2

x = 1.5 hours

A computer technician charges $190 for a 3-hour appointment and $370 for a 7-hour appointment. Which of these represents a linear function that models the charge for hiring the technician for x hours? A y=55x+190 B y=55x+45 C y=45x+190 D y=45x+55

Answers

Answer:

The linear function that models the charge for hiring the technician for x hours is y=45*x + 55

Step-by-step explanation:

The linear function is defined by the equation

f(x) = mx + b or y = mx + b

where m is the slope of the line and b is the y-intercept.

In this case you want to represent a linear function that models the charge for hiring the technician for x hours, that is, y represents the charge for hiring the technician and x the number of hours.

Given the coordinates of two points (x1, y1) and (x2, y2), you can determine the equation of the line first knowing the slope m by:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

In this case, the points are:

(x1,y1)= (3,190)(x2,y2)= (7,370)

So:

[tex]m=\frac{370-190}{7-3}[/tex]

Solving:

m=45

To obtain the value of b, once you have replaced the value of m in the equation, you must substitute the values ​​of x and y for the values ​​of the coordinates of one of the points, and solve for b to obtain its value. In this case you replace the value of point 1:

[tex]y=45*x+b[/tex]

[tex]190=45*3+b[/tex]

And you get:

190= 135 + b

190 - 135= b

55= b

So, the linear function that models the charge for hiring the technician for x hours is y=45*x + 55

We want to find a linear equation that models the charge for hiring the technician for x hours.

The correct option is D, the equation is:

y = ($45/h)*x + $55

We know that a general linear equation is written as:

y = a*x + b

where a is the slope and b is the y-intercept.

If the line passes through two points (x₁, y₁) and (x₂, y₂) then the slope can be written as:

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

Here we have two points, one given by:

(3 hours, $190)

The other given by:

(7 hours, $370)

Then the slope is given by:

[tex]a = \frac{\$ 370 - \$ 190}{7h - 3h} = \$ 45/h[/tex]

This means that he charges $45 per hour.

Replacing that in the general equation we get:

y = ($45/h)*x + b

To find the value of b, we use the fact that he charges $190 for 3 hours, then we can solve:

$190 = ($45/h)*3h + b

$190 = $135 + b

$190 - $135 = b = $55

Then the equation is:

y = ($45/h)*x + $55

So the correct option is D.

If you want to learn more, you can read:

https://brainly.com/question/2263981

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Including multiple learning options helps the author mask any information he or she is unsure about when presenting the topic. The multiple learning options will help the audience better understand the claim, reasons, and evidence presented nd The properties of carbon atoms allow carbon to easily bond to other carbon atoms to form _____ and complex macromolecules with unique structures and special functions. Very Large orVery Small Weekly Update:11/13/2020 Weekly Updates - Get free brainliest for todayIntroduction for those that don't know what's going on: Jose gets his hair cut for $12. He gives his barber a15% tip. How much does he give the barber for a tip?(If you have big brain plz help me) What is the total number of grams of a 32-gram sample of 32P remaining after 71.5 days of decay? A plane mirror is placed to the right of an object. The image formed by the mirror will be areal image that appears to be on the right of the mirror. real image that appears to be on the left of the mirror.virtual image that appears to be on the right of the mirror.virtual image that appears to be on the left of the mirror.Hamish is studying what happens when he sends a sound wave through different mediums, and he records his data in a table.A 2-column table with 4 rows titled Hamish's Waves. The first column labeled Wave has entries 1, 2, 3, 4. The second column labeled Information has entries liquid, solid, gas, liquid.Which statement could made about the data collected in Hamishs table?Wave 1 will move the fastest.Wave 2 will move the slowest.Wave 3 will move the slowest.Wave 4 will move the fastest.What is common between transverse waves and longitudinal waves?Both include an amplitude, crest, and rarefactionsBoth move faster at higher temperaturesBoth move slower through densely packed moleculesBoth include a wavelength from compression to compressionAn angle of refraction is the angle between the refracted ray and theincident ray.normal.medium.boundary. Which of the following covalent bonds is the most polar (i.e., highest percent ionic character)?A) Al IB) Si IC) Al ClD) Si ClE) Si P 1) What two criteria are needed for triangles to be similar?a)b) Avery Co. has $1.1 million of debt, $1 million of preferred stock, and $2.2 million of common equity. What would be its weight on debt What is Lopados conclusion?