Suppose that the flying hours for aircraft operated by regional airlines in the U.S. during 2006 are normally distributed with mean 2500 and standard deviation 400. Find the number of flying hours such that about 97.5% of the aircraft has flying hours exceeding this number.
A) 1,700
B) 2,100
C) 2.500
D) 2,900
E) 3,300

Answers

Answer 1

Answer:

Step-by-step explanation:

Given that :

Mean (μ) = 2500

Standard deviation (σ) = 400

P = 97.5% = 0.975

Zscore corresponding to p(z > x) = 0.975

Z = - 1.96 ( Z probability calculator)

Using the relation :

Zscore = (score (x) - μ) / σ

-1.96 = (x - 2500) / 400

x - 2500 = 400 * - 1.96

x - 2500 = - 784

x = - 784 + 2500

x = 1716

Hence, number of flying hours required is 1716


Related Questions

In AABC, a = 8, b = 5, and c = 9. What is the value of
angle B.

Answers

Can you show the problem ?

Steve is buying apples for the fifth grade. Each bag holds 11 apples. If there are 91 students total, how
many bags of apples will Steve need to buy if he wants to give one apple to each student?
Steve will need to buy
bags.

Answers

9x11=99 apples, he needs to buy 9 bags bc 8 isn’t enough
91/11 = 8.27

you would need to round up because you need to put all apples in a bag

so the answer is 9 bags. hope this helps!

Median for 5,8,10,1,7,6,15,8,6

Answers

Answer: 7

Step-by-step explanation: How I Got 7 is the median is the middle number of the data table so the median is always the middle number of the equation Hope This Helps ;)

The median is the middle number in a set of ordered numbers.

So let's first write our data set from least to greatest.

1, 5, 6, 6, 7, 8, 8, 10, 15

Since the 7 appears in the middle, it's our median.

Lots of points! Will give brainliest!

Answers

Answer:

Step-by-step explanation:

5

The answer is 5......

Suppose that 84% of the cases of car burglar alarms that go off are false. Let p be the proportion of false alarms in a random sample of 110 cases of car burglar alarms that go off. Calculate the mean and standard deviation of p and describe the shape of its sampling distribution.

Round your answer to four decimals places if necessary

up= ______
op= ______

The sampling distribution of p is normal or skewed to the right?

Answers

Answer:

0.84 ; 0.0349545 ; symmetric

Step-by-step explanation:

Given that:

p = proportion of false alarm

Sample size (n) = 110

The mean of p

Since 84% of car buglar alarms turns out as false, then, the mean value of p = 0.84

To obtain the standard deviation ; we use the relation ;

√(p(1 - p) / n)

Standard deviation :

√0.84(1 - 0.84) / 110

√0.84(0.16) / 110

√0.1344 / 110

√0.0012218

= 0.0349545

np = 110 * 0.84 = 92.4 (distribution is symmetric or normal)

(M1219Q3SP) Um aplicativo de transporte de passageiros cobra uma taxa de R$ 0,75 por viagem, chamada de "Custo Fixo". Além dos R$0,75, a tarifa do aplicativo tem preço base inicial de R$2 e cobra R$1,40 por quilômetro rodado e R$ 0,26 por minuto de viagem. Considerando a distância percorrida em quilômetros igual a “q” e o tempo de viagem em minutos igual “t”, qual a função que representa o valor a ser cobrado por uma viagem usando esse aplicativo de transporte de passageiros é:

Answers

Step-by-step explanation:

M1219Q3SP) Um aplicativo de transporte de passageiros cobra uma taxa de R$ 0,75 por viagem, chamada de "Custo Fixo". Além dos R$0,75, a tarifa do aplicativo tem preço base inicial de R$2 e cobra R$1,40 por quilômetro rodado e R$ 0,26 por minuto de viagem. Considerando a distância percorrida em quilômetros igual a “q” e o tempo de viagem em minutos igual “t”, qual a função que representa o valor a ser cobrado por uma viagem usando esse aplicativo de transporte de passageirosM1219Q3SP) Um aplicativo de transporte de passageiros cobra uma taxa de R$ 0,75 por viagem, chamada de "Custo Fixo". Além dos R$0,75, a tarifa do aplicativo tem preço base inicial de R$2 e cobra R$1,40 por quilômetro rodado e R$ 0,26 por minuto de viagem. Considerando a distância percorrida em quilômetros igual a “q” e o tempo de viagem em minutos igual “t”, qual a função que representa o valor a ser cobrado por uma viagem usando esse aplicativo de transporte de passageiros

HELP
Lin ran 2 ¾ miles in ⅖ of an hour. Noah ran 8 ⅔ miles in 4/3 of an hour.
Who ran faster, Noah or Lin?




How far would Lin run in 1 hour?




How far did Noah run in 1 hour?




How long would it take Lin to run 1 mile at that rate?




How long would it take Noah to run 1 mile at that rate?

Answers

Lin ran faster because if you convert 2/5=24mins 4/3=80mins and lin would run 2.5 miles in an hour and Noah would run 0.75 miles

Assume that process that makes the parts can be altered to adjust the overall mean of the reflectiveness score. Also assume that if an individual part has a score less than 85, then the part is given a passing quality score. The adjusted value of the true mean in population S that would result in approximately 80% of parts from that population being given a passing score is:______

a. greater than 80
b. less than 80
c. equal to 80

Answers

Answer:

c. equal to 80

Step-by-step explanation:

Given that:

The population mean = 80

The standard deviation is = 6

The sample mean = 85

The objective is to find the probability that is less than 85

[tex]P(X < 85) = P( Z < \dfrac{x-\mu}{\sigma})[/tex]

[tex]P(X < 85) = P( Z < \dfrac{85-80}{6})[/tex]

[tex]P(X < 85) = P( Z < \dfrac{5}{6})[/tex]

[tex]P(X < 85) = P( Z < 0.833)[/tex]

From the standard normal table

P(X <85) = 0.7977

P(X< 85) = 79.77%

P(X< 85) = 80%

Therefore, The adjusted value of the true mean in population S that would result in approximately 80% of parts from that population being given a passing score is:  equal to 80    .

A restaurant gets 593.31 every week. How much will they make in a year? Round your answer to the nearest cent

Answers

Answer:

30936.903999

Step-by-step explanation:

Answer:

They will make 28478.88

Step-by-step explanation:

First you multiply 12 by 4 because there is 12 months in a year and there is 4 weeks in one month. So next you will multiply 48 (that’s what 14 by 4 is), by 593.31. And you get 28478.88

HELP PLEASE!!! 17 POINTS!!

If triangle PQR is plotted, it will have the following coordinates,P(-4,0),Q(4,2)and R(-2,4). If point R is translated 4 units right and 7, what are the coordinates of R'?

Answers

Answer:

(2, -3)

Step-by-step explanation:

Right now, R is at (-2, 4). If it is pushed 4 units to the right, it becomes -2+4 = 2 on the x-axis. If it is pushed 7 units down, it becomes 4-7 = -3. Thus, the coordinates are (2, -3)

A triangle has vertices A(-3,6), B(-3, 4), and C(3,4).

If the triangle is translated 2 units to the right and 1 unit down, what will be the new coordinates of vertex A?

Answer:

(-1, 5)

Step-by-step explanation:

Right now, A is at (-3, 6). If it is pushed 2 units to the right, it becomes -3+2 = -1 on the x-axis. If it is pushed 1 unit down, it becomes 6-1 = 5. Thus, the coordinates are (-1, 5)

what is the domain and range of the graph?​

Answers

Answer:

Domain- {-2,0,2}

Range- {0,6,12}

Step-by-step explanation:

Answer:

Domain- {-2,0,2}

Range- {0,6,12}

Step-by-step explanation:

domain is x and range is y

Use the similar triangles to setup a proportion and solve for x

Answers

Answer:

[tex]\frac{22}{12}[/tex] = [tex]\frac{x}{10}[/tex]

Step-by-step explanation:

ΔUSA ≅ ΔPAL

[tex]\frac{AU}{AP}[/tex] = [tex]\frac{US}{PL}[/tex]

[tex]\frac{22}{12}[/tex] = [tex]\frac{x}{10}[/tex]

x = [tex]\frac{220}{12}[/tex] = [tex]\frac{55}{3}[/tex] = [tex]18\frac{1}{3}[/tex]

Which expression is equivalent to −78−(−34)

Answers

Answer:

-44

Step-by-step explanation:

Mathematics:If she uses 486.7 cm of paper to cover the lateral surface area of the cylinder,what is the diameter of the cynlinder?

Answers

Answer:

iiamdsjefej 444 i like milk

Step-by-step explanation:

wffdfe

(25 POINTS) Terry realized that 25% of his money was $12.50. He made a double number line to represent this. What number would go in the first missing box?

Answers

Answer:

you would double it A 0 12.50 25.00

B 0 25 50

Step-by-step explanation:

not 100% hope > helped

Estimate 8.2x6.7/0.46

Answers

119 because I’m built different

Answer:

119 i hope it helps (:(

Step-by-step explanation:

A sample of 50 students is taken from a local college and it is found that the
average test score of a recent math exam was 78 with a standard deviation of 6.
What percent of the entire school population can be expected to have score
above 84?
Your answer

Answers

i got 13 I am pretty sure that Is the answer

Find the angle whose complement is 79 degree​

Answers

Answer:

Complementary angels= 90⁰

90-79= 11

11⁰

Answer: 11 degrees

Step-by-step explanation:

complementary angles equal 90 degrees

90 - 79 = 11

Can you guess my number?
I am thinking of a number less than 91/2.Write down at least 3 choices of
what my number could possibly be.

Answers

Answer:

47 77 85

EXPLANATION

If 1 day (24 hours) is equal to 1000 years, what does one minute equal?

Answers

Answer:

Step-by-step explanation:

1440 minutes in a day. meaning that  1.44 years is about a minute

What is 50% of 36?
o9
o16
o18
o34

Answers

50% of 36 is 18. Therefore, your answer is the third option.

Answer:

18

Step-by-step explanation:

What is the value of 1/2 plus 1/3

Answers

First to answer

Answer:

The value is 5/6 or 0.83

Let me know if its correct! Have a great day!

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Which statements are true? Check all that apply

Answers

Answer:

1 1/2 >15

Step-by-step explanation:

One week, Sarah earned $192.00 at her job when she worked for 8 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $408.00?

Answers

Answer:

17 hours

Explanation:

Answer please!! urgent!!

Answers

Answer:

a

Step-by-step explanation:

Can U help me please

Answers

Answer:

The equation that represents the relation between the figure number, x, and the number of the tiles, y is y = 2x + 1

Step-by-step explanation:

The slope-intercept form of the equation is y = m x + b, where

m is the slope ⇒ constant rate of changeb is the y-intercept

In the given pattern

x represents the figure number

y represents the number of tiles

∵ At x = 1, y = 3

∵ At x = 2, y = 5

∵ At x = 3, y = 7

∵ 5 - 3 = 2 and 7 - 5 = 2

→ That means the constant rate of change is 2

m = 2

→ Substitute it in the form of the equation above

∴ y = 2x + b

→ To find b substitute x and y by the first figure

∵ x = 1 and y = 3

∴ 3 = 2(1) + b

∴ 3 = 2 + b

→ Subtract 2 from both sides to find b

∴ 3 - 2 = 2 - 2 + b

1 = b

→ Substitute it in the equation

∴ y = 2x + 1

The equation that represents the relation between the figure number, x, and the number of the tiles, y is y = 2x + 1

The Steckels decide to spend less on food and entertainment in order to put more money into savings. Which graph could represent the Steckels’ new budget?

Answers

Answer:

A histogram maybe

Step-by-step explanation:

0.09 divided by 0.81

Answers

Answer:

9

Step-by-step explanation:

Basically just remove the decimals and do 81/9 and you will get nine

You can remove the decimals because you are dividing which means that either way, you will get the same answer

the answer is 9 hope this helps

PLS HELP THIS IS DUE IN 10 MINUTES!!!

Answers

Answer:

yes

Step-by-step explanation:

All linear functions crossing the origin are proportional.

HTH :)

Graph each set of integers on a number line.
7. (4, -3, 1,5)
-6-5-4-3-2-1 0 1 2 3 4 5 6
8. (-15, -12, -9, -2)
+++++
-14 -12 -10 8-6
H-
-2
4
9. (8,3, -7,-5)
-8 6 4
-2.
0
2.
4
6
8
10. 1-14, - 7, 10, -1)
++
-15
-12
9
3
0
3
6
9
11. 1-6, -1,0,31
-6-5-4-3-2-1 0 1 2 3 4 5 6

Answers

Answer:

-14 -12 -10 8-6

Step-by-step explanation:

Other Questions
PLEASE HELP WILL GIVE BRAINLIEST The storm roiled on the horizon as rough waves rocked the helm of the fishing vessel. The captain had known the storm was cominghe had watched the weather reports for the past several days of the journeybut he started to question his decision as the waves got more powerful. One wave slapped the vessel and knocked him to the deck; when he stood up on unsteady feet, he grabbed the wheel with both hands. Though he had been a fishing boat captain for years and knew that the sea was the safest place for a vessel in a storm, these moments always terrified him. He had spent most of his life on the sea; he knew the habits and nuances of the water like it was his closest friend. The calmness that he felt when the water was placid wasnt like any stillness that he experienced on land. And though he didnt like the choppy waves when he could barely stay upright, he knew that these moments were necessary too. It was like lifein order to get to the peace, he had to weather the storm. His wife, Marla, didnt understand his obsession with the water, why he spent months of the year navigating a boat full of crab fishermen to isolated spots of the ocean hundreds of miles from shore. She couldnt grasp why he didnt get the same satisfaction from life behind a deskthe stable job in an office downtown that Marla wanted him to have. He had tried things her way, but that had only lasted a couple years; after a while, she could tell that he was miserable, and she gave him her permission to do what he loved. He gave his job two weeks notice and was back on the sea right away. He knew he missed things while he was away on these fishing boats: he listened to his wifes voice over an unreliable cell phone connection. Hed had to watch his daughter Ky speak her first words on a video that chirped into his phone. And though hed been there for her first steps, hed missed her first day of preschool, and there would inevitably be other milestones that he would miss. He stared into the blackness of the storm and knew that the fishermen below deck were relying on him to get them safely back to their familieshe knew this because he was aware of how his own family relied on him. He knew that he had to stay focused, even when he wanted to think about what his wife was doing now. He would see her in a weekand hed be able to take his daughter to school again. Hed be able to go to the grocery store and the park and do all the everyday things that he missed while at sea. He touched the picture of his family that was inside his raincoat as the next wave approached. He imagined their voices telling him that they were proud of him, and it filled him with a strength that he hadnt felt at other times during this journey. In the morning, the storm would die down, and he would enjoy the quiet. 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