The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters. (a) Determine the proportion of flanges that exceeds 1.00 millimeters. Enter your answer in accordance to the item a) of the question statement (b) What thickness is exceeded by 90% of the flanges

Answers

Answer 1

Answer:

a) 0.5 = 50% of flanges exceed 1 millimeter.

b) A thickness of 0.96 millimeters is exceeded by 90% of the flanges

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.

This means that [tex]a = 0.95, b = 1.05[/tex]

(a) Determine the proportion of flanges that exceeds 1.00 millimeters.

[tex]P(X > 1) = \frac{1.05 - 1}{1.05 - 0.95} = \frac{0.05}{0.1} = 0.5[/tex]

0.5 = 50% of flanges exceed 1 millimeter.

(b) What thickness is exceeded by 90% of the flanges?

This is x for which:

[tex]P(X > x) = 0.9[/tex]

So

[tex]\frac{1.05 - x}{1.05 - 0.95} = 0.9[/tex]

[tex]1.05 - x = 0.9*0.1[/tex]

[tex]x = 1.05 - 0.9*0.1[/tex]

[tex]x = 0.96[/tex]

A thickness of 0.96 millimeters is exceeded by 90% of the flanges


Related Questions

find the greatest 5 digit number which exactly divide by 16, 56 and 120​

Answers

five-digitsinceStep-by-step explanation:

Ummm.....I have never done this before but I THINK what your supposed to do is find the lcm of all the pairs you can get from those 3 numbers.

so lcm(16,56)=112

lcm(56,120)=840

lcm(16,120)=240

Now take any number from this and take the lcm of that

lcm(112,840)=1680

that is the number if you take the lcm of any of them so it is the lcm of them all but it is not a  number. so  16,56, and 120 are divisible by 2 I just multiplied 1680 by 2 until I got the highest possible 5 digit number which was 53760

Hope that helps :)

9514 1404 393

Answer:

  99120

Step-by-step explanation:

The LCM of 16, 56, 120 can be found from their factors:

  16 = 2^4

  56 = 2^3 · 7

  120 = 2^3 · 3 · 5

So, the least common multiple is 2^4×3×5×7 = 1680.

10^5/1680 = 59 r 880

The largest 5-digit number divisible by 16, 56, and 120 is 59×1680 = 99120.

Pls hurry I need an instant answer ASAP! Thank you

Answers

Answer:

A= -2

Step-by-step explanation:

Hope I helped!! Negitive 2

If an object with a volume of 400 is dilated by 1/2, what is the new volume?

Answers

^ pls don’t click the link y’all it’s a hacker

Help please I give brainliest and be serious

Answers

Answer:

you add all sides then you can calculate

help me pleeeeeeeeeeeeease

Answers

Answer:

1:9

Step-by-step explanation:

9/9 = 1 and 81/9 = 9

Thus, 9:81 ratio simplified is 1:9

A car travels 6 mile in 2 hours what is the unit rate
A 3 miles/ hour
B 1 mile/3 hour
C 3 /1 mile
D6 miles/ 1 hour

Answers

Answer:

A

Step-by-step explanation:

This is a fraction equal to

6 miles ÷ 2 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2

6 miles ÷ 2 2 hours ÷ 2= 3 miles1 hour= 3 miles hour = 3 miles per hour

Put the equation y =x^2-8x + 12 into the form y(x-h)^2+k
Answer: y =

Answers

Answer:

y = (x - 4)² - 4

Step-by-step explanation:

y = x² - 8x + 12

y = ( x² - 2(4)x + 4² ) - 4² + 12

y = (x - 4)² - 4

This Question: 1 pt
Determine whether the variation between the indicated quantities is direct or inverse.
The time required to defrost a frozen hamburger in a room and the temperature of the room.
Choose the correct answer below.
Inverse
Direct

Answers

Answer:

Inverse variation

Step-by-step explanation:

Required

What type of variation is described in the question

From the question, we understand that: the relationship is between time and temperature

The higher the time, the lower the temperature of the hamburger (to get freeze).

Hence, the relationship is an inverse variation.

Over 4 days, Krista deposited $45 into
her bank account, transferred $30 to a
friend, deposited $59, and withdrew
$18. What was the mean change per day
to Krista's account during that week?

Answers

Answer:

50

Step-by-step explanation:

45 - 30 = 15

15 + 59 = 74

74 - 18 = 56

The mean change per day to Krista's account during the week is $ 14

What is Average?

The average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Given data ,

The total sum of money in Krista's account = $45 - $30 + $59 - $18

                                                                             = $56

Total number of days = 4 days

Now ,

Mean change per day = Sum of money in Krista's account / Total number of days

Mean change per day  = 56 / 4

                                      = $ 14

Hence , The mean change per day to Krista's account during the week is $ 14

To learn more about average or mean click :

https://brainly.com/question/17160638

#SPJ2

Determine which lines, if any, are parallel? Explain.

PLEASE PLEASE HELP ME ASAP

Answers

Answer:

The 2 on the right because they don't cross and they are straight

Step-by-step explanation:

I’d say the two on the right side, but I’m not sure so don’t take my word for it

Pls help if not that’s fine just pls stop with the links

Answers

Answer:

C. 73 and 73

Step-by-step explanation:

An isosceles triangle has two angles that are the same, that narrows it down to C and D. The question states that there is only one 34° angle so it has to be C.

Answer:

C. 73° and 73°

Step-by-step explanation:

We know that the sum of interior angles in a triangle is equal to 180° and

Isosceles triangles has two angles with same measurement

it stated in the question that exactly one angle has measure of 34°

So the other two angles must be equal for the triangle to be isosceles

180 - 34 = 146 and this divided by 2

73° and 73° is the answer.

Finding the area of each

Answers

Answer:

C.

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

2*2=4

What is missing in the percent what is number 45 of 80

Answers

Answer:

35

Step-by-step explanation:

PLEASE HELPP I REALLY NEED IT​

Answers

Answer: Vertical angle proof

Step-by-step explanation: First off, this is really easy if you know how to do it. I think you should be able to figure it out. If you really are in collage. So Vertical angle proof, QPR is essentially (2x-30) but we need to find x. We know a triangle is 180 degrees and if it's a right angle then two angles add to 90.

So x+(2x+30)=90, 3x+30=90, 90-30=60, 3x=60, x=20. So there you have it. Now put x into the equation, 2(20)+30=70

70

Please answer as soon as possible
Will give brainly

Which set of numbers shows the lower extreme, the lower quartile, the median, the upper quartile, and the upper
extreme for the box-and-whisker plot shown?

(14, 13, 28, 45, 54)

(6,12, 28, 44, 54)

(12, 20, 28, 44, 54)

(6,19,27, 44,54)

Will give brainly
Please help me

Answers

Answer:
B(6,12,28,44,54)

HURRY ASAP
Solve the following equation for x

a. x=0.5
b. x=3
C. X=2
d. x=1

Answers

X is equal to 2 is the answer

please help me. this is my last problem and i’m clueless.

Answers

Answer:

-3

Step-by-step explanation:

so you SUBSTITUTE -2 in for z

ok i think they are trying to be tricky here

so

-1 - (-(-2))

inside parentheses, the two negatives are going to cancel eachother out.

now you have

-1 - (2)

which is

-1 - 2

-1 minus 2 is -3

Damian took out a car loan for $10,500 that has a 0% APR for the first 12
months and will be paid off with monthly payments over 3 years. For how
many months will Damian be charged interest?

A. 24 months
B. 48 months
C. 36 months
D. 12 months

Answers

Answer: 24 Months

Step-by-step explanation:

Find the distance between the points X and Y shown.

Answers

Answer:

5 units away

Step-by-step explanation:

PLEASE HELP


600 miles in 8 hours
_?_miles per hour

Answers

Answer:

its easy

Step-by-step explanation:

ya just do 600/8 = b

b= 75 miles per hout

Answer:

The answer is 75 miles per hour

Step-by-step explanation:

600 miles ÷ 8 hours = 75 miles

Please answer the questions attached below

Answers

Answer:

Step-by-step explanation:

The parallelogram is two congruent triangles. Area of blue triangle is ½·2·2 = 2 units²

Area of parallelogram = 4 units²

:::::

area of blue parallelogram = 4×9 = 36 units²

:::::

area of green parallelogram = 3×5 = 15 units²

NEED HELP DUE AT 10:20 am Find the measure of missing angle

Answers

Ok the sum of the angles or a triangle is 180˚

90+40=130

So the answer in 50˚.

Which expression is equivalent to (3x^2y)^2 (2x^4y^2)^2?


A. 10x^10y^6
B. 12x^24y^8
C. 24x^10y^7
D. 36x^12y^6

Answers

D. 36x^12y^6 is the correct answer

4. There are 4 white socks, 6
black socks, 3 blue socks, and
2 red socks. What is the ratio
of blue socks to all socks in
simplest form?

Answers

The ratio of blue socks to all socks is 1:5. Explanation- there are 3 blue socks and 15 total socks. As a ratio, you would write this as 3:15. Divide by a common term (3) for both 3 and 15 and get 1:5 (3 / 3 = 1) (15 / 3 = 5)

a fair cube has 2 red sides, 2 blue sides, and 2 green sides what is the probability of rolling red or blue

Answers

The probability of rolling red or blue would be 4 out of 6 4/6

A rectangle has length of (5x+2) and a width of (3x-1) with an area of 308 units squared. Find the perimeter

Answers

Answer:

haach f,f msfmavfb

Step-by-step explanation:

Solve the proportion.
10
15
a
24
a = [?]

help please I will give you brainliest!!

Answers

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

10/a=15/24

Step 1: Cross-multiply.


10/a=15/24


(10)*(24)=15*a


240=15a


Step 2: Flip the equation.


15a=240


Step 3: Divide both sides by 15.

15a / 15 = 240/15

a=16

Will give Brainliest .
a.188.5 cubic units
b. 204.2 cubic units
c. 1,021.0 cubic units
d. 942.5 cubic units

Answers

Answer:

d. 942.5 cubic units

Step-by-step explanation:

Volume of the oblique cylinder = πr²h

h = 12

r = 5

Plug in the values

Volume = π × 5² × 12

Volume = 942.477796

Volume = 942.5 cubic units (nearest tenth)

A furniture company currently produces 6800 chairs per month. If production decreases 7​%, find the amount of the decrease and the new number of chairs produced each month.

Answers

Answer:

7% production decreases of 6800 means you lost 476 chair a month and you would only produce 6324 chair per montg

Each pattern below is made of six congruent
squares. Which pattern can be folded into a cube
that has a surface area of 96cm??

Answers

Step-by-step explanation:

im not sure have a good day stay safe and get a good grade

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