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

So far this month you have achieved $100.90 in sales which is 50% of your monthly goal l. With 5 more workdays this month, how much do you need to sell each day to reach your goal?

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20.18 per day for 5 days

could you help me understand cross sections of three-dimenstional object its harder than it sound.​

Answers

A section, or cross-section, is a view of a 3-dimensional object from the position of a plane through the object. A section is a common method of depicting the internal arrangement of a 3-dimensional object in two dimensions. It is often used in technical drawing and is traditionally crosshatched.

Cross sections of three-dimensional objects are two-dimensional shapes of various sizes. They may be parallel to a side or base of the object or at an angle to these surfaces. A cross section may resemble the shape of the object’s side or base, or it may have a completely different shape.

Jane has 6 more than twice the number of pairs of shoes that Mary has.

Write an expression for this. Use s as your variable for the shoes.

Answers

Answer:

im not sure

Step-by-step explanation:

Help please ............

Answers

Answer:

1

Step-by-step explanation:

We use PEMDAS, so we do the parenthese first, which is 6 x 2 = 12 and 12 / 12 gets you 1!

✩brainliest appreciated✩

Christy works at the grocery store and has 242 apples to fit into 15 boxes. She fills all
of the boxes with exactly the same number of apples and sends the leftover apples to
the homeless shelter. How many apples fit into each box, and how many are going to
the homeless shelter?
16 apples go into each box, and 2 go to the homeless shelter.
O 15 apples go into each box, and 2 go to the homeless shelter,
15 apples go into each box, and 13 go to the homeless shelter.
16 apples go into each box, and 13 go to the homeless shelter.

Answers

Answer:

16 apples and 2 goes to the homeless shelter.

Step-by-step explanation: long division. 242/15= 16 with a remainder of 2.

someone please help??

Answers

9514 1404 393

Answer:

  Isabel

Step-by-step explanation:

Gavin saves 28% (given).

Harry saves 1 -3/4 = 1/4 = (1/4)·100% = 25%.

Isabel saves 3/(3+7)·100% = 30%.

Isabel saves the largest fraction of her salary each month.

what is the radius of a circle with an area of 212 in squared. please please simplify for me....​

Answers

Answer:

8.22in

Step-by-step explanation:

Area of circle = πr²

r is the radius

Given

Area = 212in²

Substitute

212 = πr²

r² = 212/3.14

r² = 67.52

r = √67.52

r = 8.22in

hence the radius of the circle is 8.22in

50+50, please help me need to pass pree schol

Answers

Answer:

100 lol thanks

Step-by-step explanation:

25+25=50 50+25=75 75+25+100

If you Start with $10 in the bank and each month you add $20 which line equation will give you your total amount after X months?

Answers

Answer:

y=20x+10

Step-by-step explanation:

You start with $10, so this will be added on, and is not affected by the number of months.

You add $20 each month, so the 20 is dependant on x.

ANSWER: y=20x+10

Find c.
Round to the nearest tenth.
20 ft
50°
15 ſt
c= [.? ]ft
Law of Cosines: c2 = 22 + b2 - 2ab cos C

Answers

Answer:

: c2 = a2 + b2 - 2ab cos C

c²=20²+15²-2×15×20×cos50

c²=400+225-600×0.64

c²=241

c=√241=15.5ft

The value of c for the given triangle can be obtained as 239.3 ft.

What is cosine law?

The cosine law for a triangle is derived from the parallelogram law of addition for two vectors.

It is given as for a triangle having sides a, b and c, the cos of the angle between sides a and b is given by,

cos(x) = (a^(2) + b^(2) - c^(2)) / (2 × a × b).

For the given diagram of a triangle, law of cosines can be applied as,

c² = a² + b² - 2abCos C

Substitute a = 15, b = 20 and ∠C = 50° to obtain,

c² = 15² + 20² - 2 × 15 × 20Cos C

c² = 625 - 600Cos(50°)

⇒ c = 239.3

Hence, the length of the other side of the triangle can be obtained as  239.3 ft.

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Find the perimeter of the following shape:

Answers

If you are trying to find the perimeter then just add all the sides so 10+10+7+7=34

But if it's for the area then its supposed to be A=hb/2 which is height times base divided by 2. For the area I did the math which is in the image

A jet plane can carry up to 200,000 liters of fuel. It used to 130,000 liters of fuel during a flights. What percentage of the fuel capacity did it use on this flight?

Answers

65%
Step-by-step explanation:
Given: Full capacity= 200000 litres
Amount of fuel used during flight= 130000 litres
Now, finding percentage of fuel used on the flight.
∴ Percentage of fuel used=
Solving it, we will get
∴ 65% of fuel capacity been used in this flight.

4 7/8 in decimal form

Answers

Answer:

4.875?

convert it into an improper fraction

4 7/8 in decimal form is equal to 4.875.

To convert the mixed number 4 7/8 into decimal form, we need to add the whole number part to the fraction part.

The whole number part is 4.

To convert the fraction 7/8 into decimal form, divide the numerator (7) by the denominator (8):

= 7 ÷ 8

= 0.875

Now, add the decimal result to the whole number:

= 4 + 0.875

= 4.875

Therefore, 4 7/8 in decimal form is equal to 4.875.

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One Season The Cougars won 20 games. They played a total of 25 games. Use the equation 20 + g = 25 to find g, the number of games the team lost.

Answers

Answer:

Step-by-step explanation:

20 + g = 25

-20        -20

        g = 5

If gas costs $1.95 per gallon, how many whole gallons of gas could you buy with $36.00? (Make sure to answer with a whole number.)

Answers

Around 19 or 18 dollars I think

Sonu's mother is 12 years more than twice Sonu's age. After 8 years,she will be 20 years less than three times Sonu's age. Find Sonu's age and mother's age. ​

Answers

Answer

 

sonu's age=16years

mothers age=44years

Step-by-step explanation:

sonu's age be x

then, mothers age will become 2x+12

after 8years,

sonu's age=x+8

mother's=2x+12+8

a/q

3(x+8)-20=2x+12+8

3x+24-20=2x+20

3x+4=2x+20

3x-2x=20-4

x=16

sonu's age=16years

mothers age=44years

what is 1 17/8 + 1 1/4 =​

Answers

Answer:

39/8

Step-by-step explanation:

Find a solution to the linear equation y=6x−18 by filling in the boxes with a valid value of x and y.

Answers

Y= 6x-18
(Substitute y= 0)
0=6x-18
(Move the variable to the left)
-6x=-18
(Divide both sides)
The answer is X= 3

Answer:

So, (0,−18), (4,6), and (3,0) are some solutions to y=6x−18.

Step-by-step explanation:

the graph shows the voltage in a circuit changing as temperature increases from 100° to 600°. which is the best estimate for the rate of change of the voltage over the interval?

1.5 volts
3 5 volts
5.5 volts
7.5 volts​

Answers

Answer:

3.5?

Step-by-step explanation:

The best estimate for the rate of change of the voltage over the interval will be 3.5 volts. Then the correct option is B.

What is the average rate change of a function?

It is the average amount by which the function is modified per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph that represents the function. The average rate of change of the function is given as,

Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]

The graph shows the voltage in a circuit changing as temperature increases from 100° to 600°.

We know that v = 1750 at t = 600° and v = 0 at t = 100°. Then the Average rate of change is given as,

Average rate = (1750 - 0) / (600 - 100)

Average rate = 1750 / 500

Average rate = 3.5

The best estimate for the rate of change of the voltage over the interval will be 3.5 volts. Then the correct option is B.

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dentify as an increase or decrease. Then find the percent of increase or decrease. If necessary, round to the nearest percent.

Original: 150

New: 130

Answers

Answer:

Step-by-step explanation:

The difference is 130-150 = -20, a decrease.

-20/150 ≅ -0.133, a decrease of 13.3%

(2 3/8 +1 1/4)+ 2 7/8 using properties of addition

Answers

Answer:

Well The answer is: 9

Step-by-step explanation:

(2 3/8 + 11/4)=

(2 + 3) + (3/8 + 3/4)= 6 1/8

(6 1/8 + 2 7/8) =

(6 + 2) + (1/8 + 7/8) = 9

Pls give me brainliest i hope this helped

3. A cube has a length of 9 inches. Find its volume.

A. 486 in^3
B.639 in^3
C.729 in^3
D. 819 in^3

Answers

Answer:

C

Step-by-step explanation:

[tex]x^{3}[/tex]=volume of cube

x= length, width, or height

9*9*9=729

C

Help on number 2 please

Answers

Answer:

y=12.73 x=9

Step-by-step explanation:

1. Determining the probability of a coin landing heads up by actually tossing a coin several times is an example of what?


A. sample probability
B. theoretical probability
C. experimental probability
D. outcome probability

Answers

Answer:

C.

Step-by-step explanation:

Theoretical probability and Experimental probability are related in that theoretical probability is based on your reasoning (e.g. two sides; therefore, there is a 50% chance of heads), but experimental probability is where your numbers are based off of actual results (e.g. you landed head 1/4th of the time; therefore, there is a 25% chance of getting heads.)

emily sold 2 small boxes of grapefruits and 3 large boxes of grape fruit for a total $61 chelsea sold 3 small boxes of grapefruit and 3 large boxes of grapefruit for a total of $72
what is the cost of one small box of grape fruit and one large box of grapefruit

Answers

Answer:

small box costs $11, large box costs $13

Step-by-step explanation:

2S + 3L = 61

3S + 3L = 72

Eliminate the L terms: subtract first equation from second equation

2S + 3L = 61

-3S - 3L = -72

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

-S = -11

S = 11

2S + 3L = 61

2(11)+3L  = 61

3L = 39

L = 13

small box costs $11, large box costs $13

Answer:

no tienes idea de lo que estoy diciendo, chico

Step-by-step explanation:


How many zeros does the function f(x) = 17x^15 - 11x^9 + 27x^3 – 13x + 12 have?

Answers

Answer:

15

Step-by-step explanation:

The amount of zeros of a function depends on the highest degree of such function.

Since the highest degree of the given polynomial is 15, hence the function will have 15 zeros

A certain forest covers an area of 2100 km^2. Suppose that each year this area decreases by 5.25%. What will the area be after 6 years

Answers

Answer:

The area after 6 years is [tex]1519.49km^2[/tex]

Step-by-step explanation:

Given

[tex]a = 2100[/tex] --- Initial Value

[tex]r = 5.25\%[/tex] --- Rate

Required

Determine the area after 6 years

Because the area reduces,, the following formula will be used to solve the question.

[tex]y = a*(1 - r)^t[/tex]

Here

[tex]t = 6[/tex]

So, we have:

[tex]y = 2100*(1 - 5.25\%)^6[/tex]

Convert percentage to decimal

[tex]y = 2100*(1 - 0.0525)^6[/tex]

[tex]y = 2100*(0.9475)^6[/tex]

[tex]y = 1519.47866516[/tex]

[tex]y = 1519.49[/tex] -- approximated

The area after 6 years is [tex]1519.49km^2[/tex]

If you sleep 30% of the day, how many hours do you sleep?

Answers

Answer:

7.2 hours.

Step-by-step explanation:

Search up "30% of 24"

Answer:

You sleep 7.2 hours.

Step-by-step explanation:

nsnsnsla

1 Rose factored the expression below. Is her answer correct? Why or why not? x2.5x + 6 + (x - 1)(x - 6)​

Answers

Answer:

(x+3)(x+2)

Step-by-step explanation:

Given the quadratic equation x²+5x + 6

Factorize

x²+2x+3x+6 = 0

x(x+3)+3(x+2) = 0

(x+3)(x+2)

Hence the factored form is (x+3)(x+2)

Rose was incorrect because she uses the wrong factors

What is 1/9 as whole number

Answers

Answer:

4/3

Step-by-step explanation:

because it is just that

Answer:

0.11111111111

Step-by-step explanation:

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