Please HURRY !

The mean cost of domestic airfares in the United States rose to an all-time high of $385 per ticket (Bureau of Transportation St

saveliy_v [14]

Answer:

a)0.067

b)0.111

c)0.612

d)$687.28

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $385

Standard Deviation, σ = $110

We are given that the distribution of domestic airfares is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(domestic airfare is $550 or more)

P(x > 550)

$P( x > 550) = P( z > \displaystyle\frac{550 - 385}{110}) = P(z > 1.5)$

$= 1 - P(z \leq 1.5)$

Calculation the value from standard normal z table, we have,

$P(x > 550) = 1 - 0.933 = 0.067= 6.7\%$

b) P(domestic airfare is $250 or less)

$P(x \leq 250) = P(z \leq \displaystyle\frac{250-385}{110}) = P(z \leq -1.22)$

Calculating the value from the standard normal table we have,

$P( x \leq 250) = 0.111 = 11.1\%$

c))P(domestic airfare is between $300 and $500)

$P(300 \leq x \leq 500) = P(\displaystyle\frac{300 - 385}{110} \leq z \leq \displaystyle\frac{500-385}{110}) = P(-0.77 \leq z \leq 1.04)\\\\= P(z \leq 1.04) - P(z < -0.77)\\= 0.851 - 0.239 = 0.612 = 61.2\%$

$P(300 \leq x \leq 500) = 61.2\%$

d) P(X=x) = 0.03

We have to find the value of x such that the probability is 0.03.

P(X > x)

$P( X > x) = P( z > \displaystyle\frac{x - 385}{110})=0.03$

$= 1 -P( z \leq \displaystyle\frac{x - 385}{110})=0.03$

$=P( z \leq \displaystyle\frac{x - 385}{110})=0.997$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 385}{110} = 2.748\\x = 687.28$

Hence, the domestic fares must be $687.28 or greater for them to lie in the highest 3%.

7 0

3 years ago

What is the greatest common factor of the terms of the polynomial below?

NISA [10]

Answer:

Aba tarko nahi ata kya sala kuta

3 0

3 years ago

A bug dug 60 inches straight down below ground and then continued digging 144 inches parallel to the ground. Finally, he realize

Effectus [21]

156 inches is the shortest distance to dig diagonally through dirt to get to his family.

<u>Step-by-step explanation:</u>

A bug dug 60 inches straight down below ground.
Then continued digging 144 inches parallel to the ground.

This forms the angle 90° between the two lines.

After he realized to turn back., the shortest distance is to dig diagonally.

This forms the hypotenuse side of the triangle.

Therefore, the given data can be assumed as a right angled triangle.

<u>To find the diagonal path (hypotenuse) :</u>

Use the Pythagorean triplets for right angle triangle,

We know that the triplet is (5,12,13).

It is given that, the height is 60 inches ⇒ 5 × 12
The base is of 144 inches ⇒ 12 × 12

Therefore, the third side hypotenuse must also be a multiple of 12.

From the triplets (5,12,13), the hypotenuse is 13 and it is multiplied by 12.

Diagonal path ⇒ 13 × 12 = 156 inches.

∴ 156 inches is the shortest distance to dig diagonally through dirt to get to his family.

5 0

3 years ago

Please answer both of these questions. :) Thank you!

son4ous [18]

Answers:
Wood Question: 860 millimeters
Heigh Question: 73 centimeters

Explanations:
Wood Question: You can get this result by doing 7.74/9 because you are dividing 7.74 meters into 9 pieces and you will get 0.86, AKA 86 centimeters. Then, you need to multiply that by 10 to convert it into millimeters and 86(10) is 860.

Height Question: First, you want to do 1.46/2 and you will get 0.73. 0.73 meters is equivalent to 73 centimeters, and since you know Jaxson is two times his sister's height, you know that you can leave it at that, therefore your final answer is 73 centimeters.

7 0

3 years ago

The height of a triangle is 4 m less than its base. The area of the triangle is 48 m².What is the length of the base?

yaroslaw [1]

Triangle Area = .5 * base * height

48 = .5 * (x +4) * x

48 = (.5x + 2) * x

48 = .5x^2 + 2x

.5x^2 + 2x -48 = 0

x = 8

base = 12

5 0

3 years ago

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