The downtime per day for a computing facility has mean 4 hours and standard deviation .8 hour. Suppose that we want to compute probabilities about the average daily downtime for a period of 30 days.
i. What assumptions must be true to use the result of Theorem 7.4 to obtain a valid approximation for probabilities about the average daily downtime?
ii. Under the assumptions described in part (i), what is the approximate probability that the average daily downtime for a period of 30 days is between 1 and 5 hours?

Answers

Answer 1

Answer:

1

Step-by-step explanation:

Given :

Mean, μ = 4

Standard deviation, s = 0.8

Sample size, n = 30

The distribution is independent.

Z = (x - μ) / s /sqrt(n)

Probability that downtime period is between 1 and 5

P(1≤ x ≤ 5) :

[(x - μ) / (s /sqrt(n))] ≤ Z ≤ [(x - μ) / (s /sqrt(n))]

[(1 - 4) / (0.8 /sqrt(30))] ≤ Z ≤ [(5 - 4) / (0.8 /sqrt(30)]

[-3 / 0.1460593] ≤ Z ≤] 1 / 0.1460593]

P(-20.539602 ≤ Z ≤ 6.8465342)

P(Z ≤ 6.8465342) - P(Z ≤ - 20.5396)

P(Z ≤ 6.8465342) = 1 (Z probability calculator)

P(Z ≤ - 20.5396) = 0 (Z probability calculator)

1 - 0 = 1


Related Questions

6 If the altitudes of a triangle meet at one of the triangle’s vertices, then the triangle is

1) a right triangle

2) an acute triangle

3) an obtuse triangle

4) an equilateral triangle

Answers

Answer:

1) a right triangle

Step-by-step explanation:

One of the caractheristics of a right triangle, the one in which the sum of the two sides squared is the hypotenuse squared(Pytagorean Theorem), is also the the altitudes of a triangle meet at one of the triangle’s vertices. So 1) is the answer to this question.

write the equation of the line that is parallel to y = 4x -7 and passes through the point (-2, -5). show your work.​

Answers

Answer:

y = 4x + 3

Step-by-step explanation:

To do this, put the new line into the form y = mx + b where m is the slope and b is the y-intercept.

When two lines are parallel, they have the same slope. Since, the slope of the first line is 4, that means the slope of the second line is also 4.

So far, the equation is y = 4x + b.

Then, since you know (-2, -5) is a solution, x = -2, y = -5 is a solution so you can plug this into the equation.

This would be:

-5 = 4 * -2 + b

-5 = -8 + b

3 = b

This means the equation is y = 4x + 3.

Find the Value of x in each figure.

[REFER TO ATTACHED PICTURE]​

Answers

Answer:

First pic) x = 10

Second pic) x = 25

-

Step-by-step explanation:

9x - 15 is congruent to 7x + 5, meaning they equal the same. This is because they are vertical to each other

☆The equation would be a 9x - 15 = 7x + 5.

☆Let's solve it!

[tex] \: \: \: \: \: \: \: \: \: 9x - 15 = 7x + 5 \\ \frac{ - 7x \: \: \: \: \: \: \: = - 7x}{2x - 15 = 5} \\ \frac{ \: \: \: \: \: \: \: \: \: \: + 15 = + 15}{ \frac{2x}{2} = \frac{20}{2} } \\ \\ x = 10[/tex]

-------

2x + 15 and x are complementary angles, meaning they equal 90ndegrees together. This is because they lie on a right angle.

☆The equation would be: 2x + 15 + x = 90.

☆Let's solve it!

[tex]2x + 15 + x = 90 \\ 3x + 15 = 90 \\ \frac{ \: \: \: \: \: \: \: \: \: - 15 = - 15}{ \frac{3x}{3} = \frac{75}{3} } \\ \\ x = 25[/tex]

a. Miss Butler made a circle graph to show the grades on the term papers. There were 14 B's, 10 A's, and 8 C's.​

Answers

I actually I’m really confused sorry can’t answer

165% as a fraction. PLEASE I NEED IT NOW

Answers

Answer:

33/20

Step-by-step explanation:

Answer:

1.65 is the answer just put a decimal

4x² when x = 5/6 and 1/2​

Answers

x = -6 I think!!! Good luck;)

I hate these plz help again

Answers

Answer and Step-by-step explanation:

We can eliminate answer choices 2 and 4, since the graphs are shading below the line, which means y is less than or less than or equal to the values.

The answer is the first answer choice.

This is because this inequality matches up with the graph.

Everything is shaded below, and y is less than, so it matches up.

3 is the y-intercept.

The slopes match up as well.

#teamtrees #WAP (Water And Plant)

The first choice is the answer

What is 1 2/3 x 1 1/4 ????

Answers

Answer:

2 1/12 B)

Step-by-step explanation:

Brian goes to school 6 hours per day, and sleeps for 9 hours per day. What is the ratio of hours Brian works to hours Brian sleeps?​

Answers

Answer:

6:4:9 Yw❤️

Step-by-step explanation:

The diameter of a circle is 55 inches.



​Find the length of its radius.



Answer:​
inches

Answers

The radius would be 8.75

Answer:

27.5 inches

Step-by-step explanation:

The circle's "radius" refers to the distance from the center towards the circumference. Once the diameter of a circle is given, it is easy to get the radius. In order to get the length of the circle's radius, all you have to do is to divide the diameter (55 inches) into two.

55 inches ÷ 2 = 27.5 inches

Therefore, the circle's distance from the center towards the circumference is 27.5 inches. This is the radius.

Find the length of side x in simplest radical form with a rational denominator.

Answers

9514 1404 393

Answer:

  (4√3)/3

Step-by-step explanation:

You know the ratio of side lengths is ...

  x : 4 = 1 : √3

Then ...

  x = 4/√3

Multiply by (√3)/(√3) to rationalize the denominator:

 x = (4√3)/3

Which situation can be represented by 10x + 45 = 25x?

A.Ten times the sum of a number and 45 cents is the same as 25 times the number. What is the number, x?

B.A coin collection contains the same number of quarters as dimes. The value of the quarters increased by 45 cents is the same as the value of the dimes. How many quarters or dimes, x, are in the collection?

C.Twenty-five times a number is the same as 45 times the number increased by 10. What is the number?

D.The value of x dimes increased by 45 cents is the same as the value of x quarters. What is the value of x?

Answers

Answer:

its A.

Step-by-step explanation:

Answer: A. .Ten times the sum of a number and 45 cents is the same as 25 times the number. What is the number, x?

Step-by-step explanation:

10x + 45 = 25x can be written = its 10 times (x) + 45 is the sum of 25 times (x) the number

Hope this helps :)

Select the correct answer.
The length of a rectangle is units greater than its width. If the width is w, which expression gives the perimeter of the rectangle in terms of its width?
A.
4w + 3
B.
w – 3
C.
5w
D.
6w + 4

Answers

Answer:

hope it helps

Step-by-step explanation:

solve x : 3 (x-1) +7= 4x +2 -3 (2-x)

Answers

Answer:

Step-by-step explanation:

x=2

remove the parentheses. cancel the equal terms. calculate. move the terms. calculate. divide both sides. x=2

For which shape is 45 degrees the smallest angle of rotational symmetry?

Answers

Answer:

Step-by-step explanation:

You want the external angle to be 45°.

If n = number of sides, the external angles are each 360°/n = 45°

n = 360/45 = 8

The shape is a regular octagon.

Answer:

the sun

Step-by-step explanation:

truss lebro

A scientist digs near an ancient city.
She finds a cup buried at -7 feet. She finds a plate buried at -4 feet.
Use absolute value to show which was buried farther from the surface.
A. The cup is farther from the surface, because |-7 is less than 1-4).
B. The cup is farther from the surface, because |-71 is greater than |-
4.
C. The plate is farther from the surface, because (-71 is greater than
1-41.
D. The plate is farther from the surface, because -7 is greater than -
4.
My

Answers

Answer:

c

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The piecewise function h(x) is shown on the graph.
What is the value of h(3)?

Answers

Answer:

In the given graph h(x)

When x=3, h(3)=1

1 is the right answer.

Me Pekzer has a problem he has become obsessed with TickTock's he makes them all the time now when he started counting he had made 544 different TickTock's he did some calculations and determined the number of TickTock's he made was growing by 11% each week write an equation to represent this situation .

Answers

Answer:

544w + 11%

Step-by-step explanation:

544 is the number he started with, so if he increases 11% by w (the amount of weeks) then you will get your anwser based on the number of weeks he increases

Submit For

Score

Which term best describes the savings account that Isabel has set up, given its purpose?

Select the correct answer.

es

Comments

O emergency fund

O mutual fund

Orainy-day fund

sinking fund

Answers

Answer:

Emergency Fund

Step-by-step explanation:

Isabel has setup fund for her emergency needs. She has started saving with named as emergency fund so that she can use her savings when she is in severe needs. Isabel has saved money and then she is now saving her money in saving accounts in the bank.

Write the rational number as a decimal. 7 over 40

Answers

Answer:

0.175 is a decimal and 17.5/100 or 17.5% is the percentage for 7/40.

Answer: 0.175

Step-by-step explanation:

Simplify
(45x6y%) = (5x4y2

Answers

Answer:

0 would be your anwswer

Step-by-step explanation:

A government study in 2020 estimated that 1 million Californians don’t have access to safe drinking water. If the population of California is 39.51 million, what percentage of the population don’t have access to safe water?

Answers

Answer:

2.53%

Step-by-step explanation:

all you have to do is 1 / 39.51 = about 0.0253 = 2.53%

Write the phrase as an expression.

5 less than 8

An expression is

Answers

Answer:

the expression is 5 - 8

which is -3

or

the expression is 5 < 8

please help meeeeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

area of the kite,

A=(d1*d2)/2

A=(16*21)/2= 168 in^2

choice C

Paul picked 5482 peaches. Peter
picked four times as many as Pual
picked. Sam picked twice as many as
Peter picked. How many peaches did
hey pick altogether?

Answers

Answer:

71,266 peaches

Step-by-step explanation:

paul=5482

peter=5482*4=21,928

sam=21928*2=43,856

5482+21,928+43,856=71,266

I’m pretty sure All together they picked around 49338 peaches together

YOU HAD YOUR WORD TASTUMI YOU HAD YOUR WORD!2

Answers

Answer:

yes :(

Step-by-step explanation:

What is 2y+4x =10 in y=mx+b

Answers

Answer:

The answer should be y = -2x + 5

Step-by-step explanation:

Subtract 4x to move it to the other side.

(2y = -4x + 10)

Then you divide both sides by 2 to get y by itself.

Seven angles of an octagon measure 105, 139, 131, 115, 155, 138, and 145 degrees. What is the measure of the eighth angle?

Answers

Answer:

105 hopefully this helps you

Patrick drives from P to Q at an average speed of 40 mph . His drive back from Q to P is at an average speed of 45 mph and takes two minutes less. How far, in miles, is it from P to Q?

QUICK ASAP PLS

Answers

Answer:

Step-by-step explanation:

66



Leslie shows a funny video to 5 of her friends. Every hour, the video

views triple. Leslie shows a funny video to 5 of her friends. Every hour, the video

views triple. How many people saw the video on the 7th hour? many total people saw the video after the 7th hour?

Answers

Answer:

10,935 views

Step-by-step explanation:

We can first design a formula for this scenario. Since the views triple this means that the initial views (i) needs to be multiplied by 3. Since this happens every hour we need to raise 3 to the power of the number of hours (h) that has passed by. This would give us the total number of views at that hour. Therefore, the formula would be the following...

i * [tex]3^{h}[/tex]

We can input the values given to us into the formula and solve it for the total number of view. The initial number of views would be 5 (one for each friend) while we are trying to find the total number of views in the 7th hour.

5 * [tex]3^{7}[/tex]

5 * 2187

10,935 views

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