Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process. Assume a production process produces items with a mean weight of 9 ounces. The process standard deviation is 0.15, and the process control is set at plus or minus 1 standard deviation. Units with weights less than 8.85 or greater than 9.15 ounces will be classified as defects. What is the probability of a defect (to 4 decimals)

Answers

Answer 1

Answer:

[tex]1-P(8.85 < X < 9.15)=0.3173[/tex]

Step-by-step explanation:

We need to first calculate the probability that a unit between the weight of 8.85 and 9.15 ounces is NOT a defect, then subtract it from 1.

It just so happens that 8.85 and 9.15 are both 1 standard deviation from the mean of 9, so by the Empirical Rule, [tex]P(8.85 < X < 9.15)=0.6827[/tex].

Thus, the probability of a unit being a defect is [tex]1-P(8.85 < X < 9.15)=1-0.6827=0.3173[/tex]


Related Questions

Hello can someone please answer this question i will mark you the Brainliest

Answers

Answer:

2(L ×W) +2(L×H)+2(W×H)

Step-by-step explanation:

find the answer of that

Answer:

180 cm 2

Step-by-step explaination:

2 ( lxw) + 2(lxh) + 2(wxh)

40 + 40 + 100

180

Use the graph of the function to estimate the intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.)

Answers

The intervals on which the graph is increasing:   ]-∞,-3[ U ]0.5,-∞[ . On the other hand, the graph is decreasing:  ]-3,0.5[

Function

A function can be classified as increasing or decreasing. Thus, a function is increasing when the y-values increase, on the other hand, a function is decreasing when the y-values decrease.

From the image, you can see that the y-values increase in the following x-intervals: from -∞ to -3 and from 0.5 to ∞. Using interval notation, you can write that the function is increasing in:

                                  ]-∞,-3[ U ]0.5,-∞[

From the graph, you can see that the y-values decrease in the following x-intervals: from -3 to 0.5. Using interval notation, you can write that the function is decreasing in:

                                         ]-3,0.5[

Learn more about function here:

https://brainly.com/question/2649645

Enter any value of b that will make the following expression factorable
x2 + bx + 13

Answers

Answer:

14

Step-by-step explanation:

?*?=13 and ?+?=b

since 13*1=13, you could replace b with 14, since 13+1=14.

this will factor out into (x+1)(x+13)

ANYONE I NEED HELP ASAP!!!!!

Answers

ok so i don’t really know but i hope you find the answer

find the x-intercept y=(x-2)/(3x-1)

Answers

Answer:

y=-2

x=-6

Step-by-step explanation:

What is the product of 22 and 49

Answers

Answer:

1078

Step-by-step explanation:

22 x 49 = 1078

Hope this helps

4. Given a = 10.2, A = 122 degrees, and b = 6.8, use the Law of Sines to solve for B. Round your answer to the nearest degree.

5. Given a = 15, A = 36 degrees, and B = 70. use the Law of Sines to solve for b. Round your answer to the nearest whole number.

6. Given a = 9, b = 4, and c = 7, use the Law of Cosines to solve for A. Round your answer to the nearest degree.

Answers

Answer:

4) 34° (nearest degree)

5) 24 (nearest whole number)

6) 107° (nearest degree)

Step-by-step explanation:

Please see the attached picture for the full solution.

Q6: 107° is the angle in the 2nd quadrant.

(180° -73.398°≈ 107°)

Picture 2: Law of Sines

Problem 8-21 (Algorithmic)
Round Tree Manor is a hotel that provides two types of rooms with three rental classes: Super Saver, Deluxe, and Business. The profit per night for each type of room and rental class is as follows:
Rental Class


Room Super Saver Deluxe Business
Type I $38 $43 —
Type II $16 $28 $45
Type I rooms do not have wireless Internet access and are not available for the Business rental class.
Round Tree's management makes a forecast of the demand by rental class for each night in the future. A linear programming model developed to maximize profit is used to determine how many reservations to accept for each rental class. The demand forecast for a particular night is 140 rentals in the Super Saver class, 50 rentals in the Deluxe class, and 40 rentals in the Business class. Round Tree has 110 Type I rooms and 110 Type II rooms.
Use linear programming to determine how many reservations to accept in each rental class and how the reservations should be allocated to room types.

Answers

Answer:

Step-by-step explanation:

Problem 8-21 (Algorithmic)

Round Tree Manor is a hotel that provides two types of rooms with three rental classes: Super Saver, Deluxe, and Business. The profit per night for each type of room and rental class is as follows:

Rental Class

Please help asap! I will gave brainlest!

Answers

Answer:

[tex]\frac{2\pi}{3}, \: \: \frac{5\pi}{3}[/tex]

Step-by-step explanation:

[tex] \tan \theta = - \sqrt{3} \\ \\ \implies \tan \theta = - \tan \frac{\pi}{3} \\ \\ \implies \: \tan \theta = \tan \bigg(\pi - \frac{\pi}{3} \bigg) \\ \\\implies \: \tan \theta = \tan \bigg(\frac{3\pi - \pi}{3} \bigg)\\ \\\implies \: \tan \theta = \tan \bigg(\frac{2\pi}{3} \bigg)\\ \\\implies \huge \red{\theta = \frac{2\pi}{3}} \\ \\ \\ \tan \theta = - \sqrt{3} \\ \\ \implies \tan \theta = - \tan \frac{\pi}{3} \\ \\ \implies \: \tan \theta = \tan \bigg(2\pi - \frac{\pi}{3} \bigg) \\ \\\implies \: \tan \theta = \tan \bigg(\frac{6\pi - \pi}{3} \bigg)\\ \\\implies \: \tan \theta = \tan \bigg(\frac{5\pi}{3} \bigg)\\ \\\implies \huge \orange{\theta = \frac{5\pi}{3}} \\ \\ \huge \: \purple { \boxed { \bold\theta = \frac{2\pi}{3}, \: \: \frac{5\pi}{3} }}[/tex]

This is the answer hope it helps

Twice the difference of a number and 2 equals 5

Answers

2-2x=5

When something says twice a number it’s always going to be multiplied by 2 and “a number will always be a variable

9514 1404 393

Answer:

  2(x -2) = 5

Step-by-step explanation:

If x represents the number, then the difference of the number and 2 is ...

  x -2

Twice the difference is ...

  2(x -2)

"equals 5" means that product is equal to 5. The appropriate equation is ...

  2(x -2) = 5

_____

In case you want a solution ...

Dividing by 2, we get ...

  x -2 = 5/2

Adding 2 gives the value of the number:

  x = 2 +5/2 = 9/2

  x = 4 1/2

The number is 4 1/2.

I need help with pre algebra 8th grade ​

Answers

Answer:

ok whats the problem

Step-by-step explanation:

Step-by-step explanation:

um were is the question

CAN SOMEONE PLEASEEE HELP ME!!!!???

Answers

Answer:32%

Step-by-step explanation:

I have a question?.....Ms. Wallace makes soap to sell at craft fairs. The first bar of soap sells for $2, and each additional bar costs $1.25. The cost of making the soap is $0.95 per bar. Ms. Wallace pays $50 to rent a booth at the fair. How many bars of soap, b, will Ms. Wallace need to sell to at least break even?​

Answers

Answer:

Has your teacher given you notes to practice?

Step-by-step explanation:

If no, then break the question down into pieces and write down what you know.

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

Since this is a quadrilateral (4-sided polygon). The sum of interior angles has to be equal to 360.

Let x be the missing angle:

[tex]x + 105 + 113 + 75 = 360[/tex]

[tex]x + 293 = 360[/tex]

[tex]x = 360 - 293[/tex]

[tex]x = 67[/tex]

As we know that, for any shape with sides n, the sum of all it's interior angles is (n - 2) × 180°, so as the Shape ABCD is a quadrilateral with 4 sides, so sum of it's all interior angles is just going to be (4 - 2) × 180° = 2 × 180° = 360°, so if we assume the missing angle be [tex]\bf \angle A[/tex], by using the sum property we will be having ;

[tex]{:\implies \quad \sf \angle A+105{\degree}+113{\degree}+75{\degree}=360{\degree}}[/tex]

[tex]{:\implies \quad \sf \angle A+293{\degree}=360{\degree}}[/tex]

[tex]{:\implies \quad \sf \angle A=360{\degree}-293{\degree}}[/tex]

[tex]{:\implies \quad \boxed{\bf{\angle A=67{\degree}}}}[/tex]

Write the slope-intercept form of an equation for a line with y-intercept -5 and slope 2.\

Answers

Answer:

y = -5x + 2

Step-by-step explanation:

A rare book was offered for sale in 2018 for $800. Because it was so rare, in increased in value by 10% in 2019. It increased in value again in 2020 this time by 20%. If you know how percentages work, you know that it increased by MORE than 30% in this time period. By what percent did it increase over the 2 year period?

Answers

Answer:

32%

Step-by-step explanation:

too lazy to type it out.

Answer:

32%.

Step-by-step explanation:

Value in 2019 = 800 + 10% of 800

= 800 + 0.1*800

=  $880.

In 2020 , value

=  880 + 0.2*880

=  $1056.

Increase in value over 2 years = 1056 - 800 = $256.

% increase = 100 * 256/800

= 32%.

bella desire and javon collect stamps. desire has 5 more stamps than bella, and javon has 3 times as many stamps as desire altgether they have 200 stamps altogether​

Answers

Let the no of stamps with Bella=x
Stamps with desire =5+x
Stamps with Javon=3(5+x)
=15+3x
Total no of stamps=200
So;
200=x+5+x+15+3x
200=5x+20
200-20=5x
180/5=x
x=36
Therefore;
The no of stamps with Bella =36
No of stamps with desire=5+36
=41
No of stamps with javon=15+3(36)
=123
Verification;
36+41+123=200

Answer:

 I answered the stupid question and you deleted it  

Step-by-step explanation:

According to a Los Angeles Times study of more than 1 million medical dispatches from to , the response time for medical aid varies dramatically across Los Angeles (LA Times website, November 2012). Under national standards adopted by the Los Angeles Fire Department, rescuers are supposed to arrive within six minutes to almost all medical emergencies. But the Times analysis found that in affluent hillside communities stretching from Griffith Park to Pacific Palisades, firefighters failed to hit that mark nearly of the time. The following data show the response times, in minutes, for emergency calls in the Griffith Park neighborhood.

11.8 10.3 10.7 10.6 11.5 8.3 10.5 10.9 10.7 11.2

Based on this sample of ten response times, compute the following descriptive statistics:
a. Mean, median, and mode
b. Range and standard deviation
c. Should the response time of 8.3 minutes be considered an outlier in comparison to the other response times?

Answers

Answer:

A)Mean :10.65

Median =10.7

Mode : 10.7

B)Range = 3.5

Standard deviation :0.89916

C)The response time of 8.3 minutes should be considered an outlier in comparison to the other response times

Step-by-step explanation:

A)

Data : 11.8 ,10.3, 10.7, 10.6, 11.5, 8.3, 10.5, 10.9, 10.7, 11.2

[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean = \frac{11.8 +10.3+ 10.7+ 10.6+ 11.5+ 8.3+ 10.5+ 10.9+ 10.7+ 11.2}{10}[/tex]

Mean = 10.65

Median: The mid value of the data

Data in ascending order

8.3

10.3

10.5

10.6

10.7

10.7

10.9

11.2

11.5

11.8

n=10(even)

[tex]Median = \frac{(\frac{n}{2})\text{th term}+(\frac{n}{2}+1)\text{th term}}{2}\\Median = \frac{(\frac{10}{2})\text{th term}+(\frac{10}{2}+1)\text{th term}}{2}\\Median = \frac{10.7+10.7}{2}\\Median = 10.7[/tex]

Mode : the most occurring frequency

10.7 is occurring twice while others are occurring once

So, Mode is 10.7

B) Range = Maximum - Minimum=11.8-8.3=3.5

Standard deviation : [tex]\sqrt{\frac{\sum(x-\bar{x})^2}{n}}[/tex]

Standard deviation :[tex]\sqrt{\frac{(11.8-10.65)^2+(10.3-10.65)^2+......+(10.9-10.65)^2+(10.7-10.65)^2+(11.2-10.65)^2}{10}}[/tex]

Standard deviation :0.89916

C)

8.3

,10.3

,10.5

,10.6

,10.7

,10.7

,10.9

,11.2

,11.5

,11.8

For Q1 ( Median of lower quartile )

8.3

,10.3

,10.5

,10.6

,10.7

[tex]Median = \frac{n+1}{2}\text{th term} =\frac{5+1}{2}=3 \text{rd term}=10.5[/tex]

For Q3( Median of Upper quartile )

10.7

,10.9

,11.2

,11.5

,11.8

[tex]Median = \frac{n+1}{2}\text{th term} =\frac{5+1}{2}=3 \text{rd term}=11.2[/tex]

IQR = Q3-Q1=11.2-10.5=0.7

Range :(Q1-1.5IQR, Q3-1.5IQR)

Range :[tex](10.5-1.5 \times 0.7, 11.2-1.5 \times 0.7)[/tex]

Range :(9.45, 10.15)

8.3 does not lie in this interval

So, the response time of 8.3 minutes should be considered an outlier in comparison to the other response times

Writing Linear Equations

Answers

The answer to A is Gabe, the answer to B is Mila and I don't have an answer to C, try inputting it into a calculator. Sorry.

A)

y = ax + b

b = 40 as the line starts at (0 ; 40)

then the line goes down => so a < 0

between the 1st point and the second, we go 2 units on the right and we go 1 unit down

so a = - 1/2 = - 0,5

finally  y = - 0,5x + 40

B)

y = ax + b

with

a = (-6 ; 0) / (0 ; -30) = 6/30 = 1/5

with the point ( 0 ; -6) we know that b = -6

finally y = 1/5x - 6

C)

we use the point (0 ; - 10)

so Amir is right as b will be - 10

What is 70 percent of 20?

Answers

Answer:

14

Step-by-step explanation:

All you need to do is turn 70% into a decimal which is .70

Then multiply .70 and 20

.70*20

which gives you 14

The number is 14, which represents 70 percent of 20 is 14.

As we know that a percentage is normally calculated by dividing the component by the total and then multiplying by 100.

To find 70 percent of a number, we multiply the number by 70/100 or 0.7.

As per the question, we want to find 70 percent of 20.

So, we have:

70% × 20 = (70/100) × 20

To simplify the calculation, we can convert the percentage to a decimal by dividing 70 by 100, which gives us 0.7:

(70/100) × 20 = 0.7 × 20

Multiplying 0.7 by 20, we get:

0.7 × 20 = 14

Therefore, 70 percent of 20 is 14.

Learn more about percentages here:

brainly.com/question/24159063

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FIRST TO ANSWER 50 POINTS !!

Randy and Carla like to walk the path around their town park. The path is 2 miles long. Last month Randy walked the path 13 times, and Carla walked it 22 times. How many more miles did Carla walk than Randy last month?

Answers

Answer: 18 more miles

Step-by-step explanation:

18 more miles last month

You move 4 units forward, then 9 units backwards on a board game. Which of the following expressions can be used to find the sum of your moves?

4 + 9


4 + (-9)


-4 + 9


-4 + (-9)

Answers

Answer:

I believe the correct answer is option 2

4 + (-9)

4 + (-9)

This expresses your answer as a sum (addition) while accurately representing your moves (4 forward, being positive, and 9 backwards, being negative)

What Is -5 1/2 x -1 1/8

Answers

Answer:✨

-6 3/16

✨Step-by-step explanation:✨

-5 1/2 x -1 1/8 = ?

Convert mixed numbers into improper fractions

-11/2 x -9/8 = -99/16 = -6 3/16

Quadrilaterals ABCDABCDA, B, C, D and KLMNKLMNK, L, M, N are congruent. Which of the following sequences of transformations maps KLMNKLMNK, L, M, N onto ABCDABCDA, B, C, D? Sequence A Sequence B A translation along the directed line segment \overline{MA} MA start overline, M, A, end overline, then a reflection over the horizontal line through point AAA. A reflection over the vertical line through point NNN, then a translation along the directed line segment \overline{NB} NB start overline, N, B, end overline. Choose 1 answer: Choose 1 answer:

Answers

Answer:

D

Step-by-step explanation:

I did it and got it right on khan

Answer:

D, Neither

Step-by-step explanation:

Help meeeee pleaseeeeee

Answers

C=(pi)*d
C=(3.14)*(12)

C= 37.68cm

Answer:

37.68 centimeters

Step-by-step explanation:

The circumference of a circle can be found by using the formula πd, where d = diameter. We're given the diameter as 12 centimeters, and we're going to use 3.14 for pi.

3.14 × 12

37.68

Therefore, the answer is 37.68 cm.

Have a lovely rest of your day/night, and good luck w/ your assignments! (‾◡◝)

5. Write the equation in slope-intercept form that
is parallel to y = 4x - 2 and goes through the
point (-2, 3).

Answers

Answer:

y=4x+11

Step-by-step explanation:

Same slope because the lines are parallel

PLEASE HELP...


Write an iterated integral of a continuous function f over the region. Use the order dy dx.
R is the triangular region with vertices ​(0​,0​), ​(0​,15​), and ​(5​,0​).

(I just need the double iterated integral no solving necessary)
THANK YOU!!

Answers

Answer:

[tex]\displaystyle \int_{0}^{5}\int_{0}^{-3x+15}f(x,y) \ dy dx[/tex]

========================================================

Explanation:

We're tasked to find the values of a,b,c,d in the following

[tex]\displaystyle \int_{a}^{b}\int_{c}^{d}f(x,y) \ dy dx[/tex]

The equation of the line through the points (0,15) and (5,0) is y = -3x+15

When picking a particular fixed x value, the y values span from y = 0 to y = -3x+15 which determines the bounds of integration for the inner integral.

So this means c = 0 and d = -3x+15

The values of a,b are much easier and they are a = 0 and b = 5 to represent the x coordinates of the left-most and right-most points.

-----------------

Since,

a = 0b = 5c = 0d = -3x+15

we go from this

[tex]\displaystyle \int_{a}^{b}\int_{c}^{d}f(x,y) \ dy dx[/tex]

to this

[tex]\displaystyle \int_{0}^{5}\int_{0}^{-3x+15}f(x,y) \ dy dx[/tex]

Without knowing what f(x,y) is, we cannot compute the integral. Luckily it seems like your teacher is only interested in setting up the integral rather than computing its numeric value.

The distance, in feet, two boys travel per second on a treadmill is shown to the left. Which comparison is accurate?
Xavier is traveling at 1.5 feet per second.
Moises is going faster than Xavier.
The difference in their rates of change is 1 foot per second.
If both boys remain on the treadmill for 10 minutes, Xavier will have traveled a greater distance. (a straight up answer)

Answers

Answer:

Step-by-step explanation:

D is correct

Answer: D

Step-by-step explanation:

PLS HELP ME !

Draw out a two column proof for each problem below.
Make sure to start with your given statement and write out each statement and reason.

Answers

Answer and Explanation:

See attached image.

look at the picture pleaseeeee

Answers

Step-by-step explanation:

the answer is in the picture

Other Questions
A 2-column table with 4 rows. The first column labeled Elevation (meters) has entries 500, 1000, 1500, 2000. The second column labeled Temperature of air (degrees Celsius) has entries 11. 8, 8. 5, 5. 3, 2. 0. As elevation increases, temperature decreases. At which elevation will sound travel fastest? 500 meters 1,000 meters 1,500 meters 2,000 meters. Read the sentence. the poster includes bright, pretty colors to catch the viewers attention and evoke a sense of joy. which is the most accurate and precise replacement for the underlined word? vibrant jarring understated nice Heather mixes two white liquids together. Immediately, a gray liquid forms.How is the gray liquid related to the white liquids? Who had absolute power in Russia? The fire alarm went off in the building, so we quickly evacuated and waited outside.What is the meaning of the bolded word? (2 points)aTo have enacted emergency proceduresbTo have pulled an alarmcTo have removed one from a place of dangerdTo have run into a building Which region is most likely to have the highest population in the state?. Human eye forms an ____________ image on _________after passing through the lens what is the range of the graphhhhhh (07.02 MC) what is the value of y in the equation 3(3y - 15) = 0? Which value of x makes the equation 6 ( x 2 ) = 3 9 x true? how do you take a screen shot on a chrome book Which of the following words was used to describe American-born persons of Japanesedescent, many of whom served their country in battle while their family members were sentto internment camps?O NavajoO NagasakiO NiseiO Hibakusha What is the missing force? . Most of the sentences below are run-on sentences. Which sentence is NOT a run-on sentence?Evidence showed that the island had been hit by a horrible tsunami.The baker made gingerbread cookies and a gingerbread boy jumped off the cookie sheet and no one could catch it.The Mexican Free-Tailed bat is a type of bat it lives in big groups and a famous group lives under a bridge in Austin, Texas.It was a time of extreme drought many trees died and many animals suffered. Why do e-cigarette companies put flavoring in the liquid cartridges? P is inversely proportional to q^3, when p has the value 27, q has the value 3. i) find the formula which expresses p in terms of q. P= r is directly proportional to q, when r has the value 10, q has the value 2. ii) prove that r=kp^n and so find the value of k and n. Rita wanted to conduct a research on teenage pregnancy but her supervisor advised her against doing so since it would not support one of the qualities of good research. To which quality was the supervisor referring? A. DoableB. incrementalC. replicableD. cyclical Why Newton's Law of cooling not applicable for higher temperature differences? Hello people ~how did hitler rise to power? Read the poem. Then, select the correct answer.excerpt adapted fromI Wandered Lonely as a Cloudby William WordsworthI wandered lonely as a cloudThat floats on high o'er vales and hills,When all at once I saw a crowd,A host, of golden daffodils;Beside the lake, beneath the trees,Fluttering and dancing in the breeze.Continuous as the stars that shineAnd twinkle on the milky way,They stretched in never-ending lineAlong the margin of a bay:Ten thousand saw I at a glance,Tossing their heads in sprightly dance.For oft, when on my couch I lieIn vacant or in pensive mood,They flash upon that inward eyeWhich is the bliss of solitude;And then my heart with pleasure fills,And dances with the daffodils.Which word best describes the authors tone?A. admiringB. desperateC. somberD. playful