1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sati [7]
3 years ago
11

Based on FAA estimates the average age of the fleets of the 10 largest U.S. commercial passenger carriers is 13.4 years with a s

tandard deviation of 1.7 years. Suppose that 40 airplanes were randomly selected from the fleets of these 10 carriers and were inspected for cracks in these airplanes that are considered too large for flying. What is the probability that the average age of these 40 airplanes is at least 14 years old
Mathematics
1 answer:
Aliun [14]3 years ago
6 0

Answer : 0.0129

Step-by-step explanation:

Given : Based on FAA estimates the average age of the fleets of the 10 largest U.S. commercial passenger carriers is \mu=13.4 years and standard deviation is \sigma=1.7 years.

Sample size : n=40

Let X be the random variable that represents the age of fleets.

We assume that the ages of the fleets of the 10 largest U.S. commercial passenger carriers are normally distributed.

For z-score,

z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

For x=14

z=\dfrac{14-13.4}{\dfrac{1.7}{\sqrt{40}}}\approx2.23

By using the standard normal distribution table , the probability that the average age of these 40 airplanes is at least 14 years old will be :-

P(x\geq 14)=P(z\geq2.23)\\\\=1-P(z

Hence, the required probability = 0.0129

You might be interested in
(-2,9), (0,1) what is the y-intercept?
7nadin3 [17]

Answer:

(0,1) is the y-intercept

Step-by-step explanation:

EZZZZZZ

5 0
2 years ago
Read 2 more answers
He fastest that a seahorse can travel is 2,640 feet per hour. What is its top speed in miles per hour?
Slav-nsk [51]

Answer:

Step-by-step explanation:

You get 2640 and double it which is 5280 and then do 2640/5280 which is 0.5, that is the amount of miles in 2640 feet. So the answer is 0.5 mph which is C

6 0
3 years ago
i was absent when my class learned this and my teacher is to lazy to teach it to me sooo...someone explain this to me please.
Verizon [17]
Whenever you get questions like these you can turn the percentage into a decimal by adding a point at the beginning of a number then multiply the decimal by the number you need to find a part of
6 0
3 years ago
Evaluate the expression for the value 5 X (h + 3) for h= 7
horrorfan [7]

Answer:

35x + 15

Step-by-step explanation:

5x(7 + 3)

35x + 15

8 0
2 years ago
Read 2 more answers
A pair of equations is shown below:
horrorfan [7]

Answer:

A. x=2, y = 7.

B. (2, 7).

Step-by-step explanation:

A. You can eliminate y by subtracting the equations:

y =  8x - 9

y =  4x - 1       Subtract:

0 =  4x - 8

4x = 8

x = 8/4 = 2.

Now substitute for x in the first equation:

y = 8(2) - 9 = 7.

Check in the second equation:

y = 4x - 1

7 = 4(2) - 1 = 7.  Check is OK.

B. On the graph they will intersect at the point (2, 7).

They will intersect here because the values x=2 and y=7 satisfy both the 2 equations.

4 0
3 years ago
Other questions:
  • The height of a triangle is 4 m less than its base. The area of the triangle is 48 m^2. what is the length of its base?
    15·2 answers
  • Which is longer 5 miles or 5 kilometers?​
    12·2 answers
  • 20 POINTS! Jenny is building a rectangular garden around a tree in her yard. The southwest corner of the garden will be 2 feet s
    7·1 answer
  • Solve 3x - 9x + 7 - 3 = -8.<br><br> 6<br> -6<br> 2<br> -2
    7·1 answer
  • A triangle has an angle that measures 90°. What type of triangle could it be? (Choose all that apply)
    6·2 answers
  • Help plz bc idk what to do​
    11·1 answer
  • 2. What is the slope of the line 2x + y = 8?
    13·2 answers
  • Right answer please
    11·1 answer
  • The
    11·1 answer
  • The question is in the attached file
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!