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
years and standard deviation is
years.
Sample size : ![n=40](https://tex.z-dn.net/?f=n%3D40)
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}}}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
For x=14
![z=\dfrac{14-13.4}{\dfrac{1.7}{\sqrt{40}}}\approx2.23](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B14-13.4%7D%7B%5Cdfrac%7B1.7%7D%7B%5Csqrt%7B40%7D%7D%7D%5Capprox2.23)
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](https://tex.z-dn.net/?f=P%28x%5Cgeq%2014%29%3DP%28z%5Cgeq2.23%29%5C%5C%5C%5C%3D1-P%28z%3C2.23%29%5C%5C%5C%5C1-%200.9871262%3D0.0128738%5Capprox0.0129)
Hence, the required probability = 0.0129
Answer:
Let total number of dog and cat population in animal shelter be x.
As per the statement:
An animal shelter has 9 puppies.
⇒ Total number of puppies = 9
It is also given that if the puppies are 36% of the total dog and cat population.
⇒ ![9 = 36\% \text{of}{\text{total number of dogs and Cat}](https://tex.z-dn.net/?f=9%20%3D%2036%5C%25%20%5Ctext%7Bof%7D%7B%5Ctext%7Btotal%20number%20of%20dogs%20and%20Cat%7D)
or
![9 = \frac{36}{100} \times x](https://tex.z-dn.net/?f=9%20%3D%20%5Cfrac%7B36%7D%7B100%7D%20%5Ctimes%20x)
By cross multiply we get;
![900 = 36 x](https://tex.z-dn.net/?f=900%20%3D%2036%20x)
Divide both sides by 36 we get;
![25 = x](https://tex.z-dn.net/?f=25%20%3D%20x)
Therefore, total number of dogs and cat population in animal shelter are 25
Solution
The dimension of the rectangular floor is 18ft long and 12 ft wide
Using the conversion table
It is given that 1yd =3 ft
This shows that
12 feet will be equivalent to
![\frac{12}{3}=4yd](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B3%7D%3D4yd)
Also 18ft will be equialent to
![\frac{18}{3}=6yd](https://tex.z-dn.net/?f=%5Cfrac%7B18%7D%7B3%7D%3D6yd)
Therefore the new dimension is 6 yard by 4 yard
The area will be
![A=6\times4](https://tex.z-dn.net/?f=A%3D6%5Ctimes4)
Therefore the required area is
Answer:
pi = pi
Step-by-step explanation:
Circumference = 2 * pi * r
Equation you need:
43.96 = 2 * pi * 7
43.96 = 2 * 7 * pi
43.96 / 14 = pi
pi = 3.14
113.04 is the answer do u know how to get it