You are in charge of monitoring the pressure of a compressed air tank in a processing plant. After repeating the pressure measurement a large number of times, you found that the pressure values have Gaussian distribution with a mean value of 69 psi and a standard deviation of 10 psi. If it is important that the pressure stays below 86 psi, what is the probability (in percent) that the pressure will exceed this value? (Provide your answer as a percentage using two decimal places. Do not include the % symbol in your answer)

Answers

Answer 1

Answer:

4.46% probability that the pressure will exceed this value.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Gaussian distribution with a mean value of 69 psi and a standard deviation of 10 psi.

Gaussian distribution = normal.

This means that [tex]\mu = 69, \sigma = 10[/tex]

If it is important that the pressure stays below 86 psi, what is the probability (in percent) that the pressure will exceed this value?

As a proportion, this probability is 1 subtracted by the pvalue of Z when X = 86. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{86 - 69}{10}[/tex]

[tex]Z = 1.7[/tex]

[tex]Z = 1.7[/tex] has a pvalue of 0.9554

1 - 0.9554 = 0.0446

0.0446*100 = 4.46%

4.46% probability that the pressure will exceed this value.


Related Questions

4. Find the percent of increase from 56 to 70. Round your answer
to the nearest tenth of a percent.

Answers

Answer:

25%

Step-by-step explanation:

Carlos' grandmother will give him $20 plus $5 for every hour that he completes yard work. This situation can be described by an equation of the form y = mx + b, where x = the time in hours and y = the total amount of money earned. What is the value of b in this equation?

Answers

Answer: b= 20

Step-by-step explanation:

y= 5x + 20

Which set of ordered pairs (x,y) could represent a linear function x?

A record with a diameter of 12 inches rotates at 33 revolution per minute find the angular speed of the record in radians per second

Answers

9514 1404 393

Answer:

  1.1π radians/second

Step-by-step explanation:

Each revolution is 2π radians, and there are 60 seconds in a minute. The rotation rate is ...

  (33 rev/min)×(2π rad/rev)×(1 min)/(60 sec) = 66π/60 rad/sec

  = 1.1π rad/sec

The angular speed is 1.1π radians per second.

Given AB =6 and BD =8, find the value of x

Answers

Answer: x=10

Step-by-step explanation:

Find AD by making a 90 degree triangle with segments AB and BD

a=6 b= 8 c= c

[tex]a^{2}+b^{2} =c^{2}[/tex]

[tex]6^{2} +8^{2} =c^{2} \\36+64=c^{2} \\100=c^{2} \\10=c[/tex]

AD is = to 10- AD is also the radius of the circle. since x is also the radius of the circle, it is also 10

PLS HELP I WILL MARK BRAINLIST!!

Answers

Answer:

C, 105

Step-by-step explanation:

45 divided by 3 is 15 so 15 x 7 = 105 minutes.

Circle 1 has a center (−4, 5) and a radius of 6 cm. Circle 2 has (2, −3) and a radius of 9 cm. What transformations can be applied to Circle 1 to prove that the circles are similar? Enter your answers in the blanks. Enter the scale factor as a fraction in the simplest form.

The circles are similar because the transformation rule (___ , ___ ) can be applied to Circle 1 and then dilate it using a scale factor of ___/___

Answers

Answer:

The circles are similar because the transformation rule (+ 5 , - 6) can be applied to Circle 1 and then dilate it using a scale factor of ​3/4.

Step-by-step explanation:

All the circles are similar.

That is because you can transform one circle onto another by two similarity operations: translation and dilation (scale factor).

For these two circles you have to translate the center of circle 1 to the center of circle 2, which will make that the two circles are concentric (have the same center).

The two centers are (-6,2) and (-1,- 4). To move the center (-6, 2) to (-1,4) you have to shift it 5 units to the right and 6 units down:

- 6 + 5  = - 1

2 - 6 = - 4.

After this translation, you dilate the circle with smaller radius using a scale factor equal to the ratio of the bigger radius to the smaller radius: 8/6 = 4/3.

Enter the scale factor as a fraction in simplest form. 3/4

The circles are similar because the transformation rule (+5 , - 6) can be applied to Circle 1 and then dilate it using a scale factor of ​3/4.

Answer:

The circles are similar because the transformation rule ( [tex]x + 6, y - 8[/tex]) can be applied to Circle 1 and then dilate it using a scale factor of [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

just took the test down. proof down below

Please help ...........

Answers

Answer:

B

Step-by-step explanation:

A set of 4 chairs cost $56, or you can buy 1 chair for $16. How much less is the cost of 1 chair if you buy the set?

Answers

So the better deal is the 4 chairs for $56 because you would save 8 dollars.
How much less the chairs would cost is they would be $14 so you would save $2

What percent of 29 is 99?

Answers

Answer:

29%

Step-by-step explanation:

29\99=0.29292929

x100=29.29292929

round to the nearest whole number

29%

Four times a number is equal to three times the quantity of one more than the number. What is the number?
a. 1
b. 2
c. 3
d. 4
e. 5

Answers

Answer:

x = 3

Step-by-step explanation:

Equation: 4x = 3(1 + x)

Distribute the 3: 4x = 3 + 3x

Subtract 3x from both sides: x = 3

You want Brainliest help me plsss

Answers

Answer:

the slope in the equation is 5, while the slope on the graph is 2

help please asap please

Answers

n=15; have a good one

A football field is 100 yards long. How many feet is that?

Answers

1 yard=3 feet so 100 yard=300 feet

Answer:

Step-by-step explanation:

Gallon is more

what the heck guys please help me

Answers

Answer:

10, 12, 13, 20

Step-by-step explanation:

What is the determinant of ​

Answers

Answer:

15

Step-by-step explanation:

Please see attached photo for explanation.

In the attached photo,

|H| => Determinant of H

From the calculations made as illustrated in the attached photo, the determinant of H is 15

What is the greatest common factor of 15, 75, and 9

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{Factors of each number }\huge\boxed{\downarrow}\\\\\large\textsf{9: 1. 3. \& 9}\\\large\textsf{15: 1, 3, 5, \& 15}\\\large\textsf{75: 1, 3, 5, 15, 25, \75}[/tex]

[tex]\huge\text{Like terms between the factors}\\\\\bullet \large\textsf{1 \& 3}[/tex]

[tex]\huge\text{Reason for the factors of the numbers }\huge\boxed{\downarrow}\\\\\large\textsf{9: 1}\times\large\textsf{9 = \bf{9} }\& \large\textsf{ 3}\times\large\textsf{3 = \bf 9}\\\\\large\textsf{15: 1}\times\large\textsf{15 = \bf 15 }\&\large\textsf{ 3}\times\large\textsf{5 = \bf 15}\\\\\large\textsf{75: 1}\times\large\textsf{ 75 = \bf 75}, \large\textsf{ 3}\times\large\textsf{25 = \bf 75}, \& \large\textsf{ 5}\times\large\textsf{ 15 = \bf 75}[/tex]

[tex]\huge\text{BIGGEST NUMBER OUT OF THE LIKE}\\\huge\text{TERMS }\huge\boxed{\downarrow}\\\\\large\textsf{\bf 3}[/tex]

[tex]\huge\text{ANSWER }\huge\boxed{\downarrow}\\\\\large\boxed{\textsf{The GCF (Greatest Common Factor) is: \huge\boxed{\textsf3}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\large\text{Amphitrite1040:)}[/tex]

An initial investment of $5,000 grows at 9% per year.

Answers

Answer:

C. f(t) = 5000(1.09)^t

Step-by-step explanation:

Compound interest formula:

F = P(1 + r)^t

Answer: C. f(t) = 5000(1.09)^t

Write each phrase as an algebraic expression.

4. Jenny is 5 times as a old
5. Brandon spent 10 dollars more

Answers

The answers are:
4) 5x
5) x+10

In winter, the price of apples suddenly went up by $0.75 per pound. Sam bought 3 pounds of apples at the new price for a total of $5.88.
Write an equation to determine the original price per pound.
Find the original price per pound.

Answers

Answer:

look down

Step-by-step explanation:

sam bought 3 pounds so 0.75 multiplied with 3 is 2.25 then we subtract 5.88 by 2.25 to get the original price for 3 pounds which is 3.63. Last step we divide 3.63 by 3 to get the original price for 1 pound and the answer should be 1.21 per pound.

The final equation should be $5.88- $2.25÷3= $1.21

1.28$ that’s the answer

Need answer to this urgently

Answers

Answer:

x=3

Step-by-step explanation:

25+134+4x+9+180

4x+168+180

4x+12

x=3

help me please!!! thank you!!!

Answers

Answer:

254.47 inches squared

Step-by-step explanation:

Area of a circle is

[tex]\pi {r}^{2} [/tex]

so to find the radius we half the diameter( which here is 18 inches) which equals to 9

we replace r to 9 because that's the radius

[tex]\pi \times {9}^{2} [/tex]

which is 254.47 inches squared

I just need these three pretty please

Answers

b = 7
n = 0.78
c = -20

i think these are the answers and i am so so sorry if they are wrong, have an amazing day

Mrs. Egan is saving money for a new television. She already has $110 in the bank. She is going to save $65 per week. Write an equation that represents Mrs. Egan's savings account​

Answers

110+65x so if she already has 110 that means you’ll add 65 every week it’s not clear on how many weeks so that’s why the x is there for x amount of weeks

Which step has the mistake in solving for roots?

2x^2 – 7x – 3 = 1

Step 1: 2x^2 – 7x – 4 = 0

Step 2: x^2 – 7x – 8 = 0

Step 3: (x-8)(x+1) = 0

Step 4: (x-8/4)(x+1/4) = 0

Step 5: (x-2)(4x+1) = 0

Step 6: x – 2 = 0 4x + 1 = 0

Step 7: x = 2 x = -1/4

One of these steps is incorrect. List the step that is incorrect, then finish the problem correctly.

Answers

Answer:

Step-by-step explanation:

2x² - 7x - 3 = 1

Step 1: 2x² - 7x - 4 = 0

Step 2: incorrect.

Use Quadratic Formula to solve for roots.

x = [7 ± √(7² – 4·2(-4))] / [2·2]

 = [7 ± √81] / 4

 = [7 ± 9] /4

 = -0.5, 4

PLEASE HELP WILL MARK BRAINLIEST!!!!
The measure of an angle is 37.1º, What is the measure of its complementary angle?

Answers

Answer:

52.9º

Step-by-step explanation:

complementary is when the sum of two angles is 90 degrees

to solve, simply take 37.1 and subtract it from 90:

⇒ 90 - 37.1

⇒ 52.9

I need an answer to this problem​

Answers

The answer is c
This is because only the y-int changes

Find the perimeter and area of the triangle. Show all work.
31 yd
14 yd
28 yd

Answers

I’m pretty sure it is 73yd

help pleasee!!!!!!!!!!!!!!!!!!

Answers

Answer:

76 because if the two lines are parallel then x = 76

hope this helps and brainliest please

What is 3 to the power of 9 ?​

Answers

Answer:

3 to the power of 9 = 19,683

Step-by-step explanation:

3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3= 19,683

hope this is helped

if it did let me know if it was right

and mark brainlest  

what is the absolute value of |4x|- 12 = 4​

Answers

Answer:

X = 4

Step-by-step explanation:

4 X 4 equals 16 and 16 minus twelve equals 4

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