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
Step-by-step explanation:
Total numbers of pizza toppings = 12
Number of three topping pizzas can be ordered are:
![P^{n}_{k}=\frac{n!}{(n-k)!}](https://tex.z-dn.net/?f=P%5E%7Bn%7D_%7Bk%7D%3D%5Cfrac%7Bn%21%7D%7B%28n-k%29%21%7D)
where = n = number of elements
k = number of elements choosen
n= 12 , k = 3
![\frac{12!}{(12-3)!} =\frac{12\times 11\times 10\times 9!}{9!}= 1,320](https://tex.z-dn.net/?f=%5Cfrac%7B12%21%7D%7B%2812-3%29%21%7D%20%3D%5Cfrac%7B12%5Ctimes%2011%5Ctimes%2010%5Ctimes%209%21%7D%7B9%21%7D%3D%201%2C320)
We calculated the number of permutations. We made this choice because in permutation order of element matters but in combination its not.
The answer is 1000 because 62x4= 248 and then you take 248 and multiply it by 4 and you get 992 then you have to multiply 4x2 which is 8 and then when you add 992+8, you would get 100 ;)
Answer:
x = -5
Step-by-step explanation:
Get x by itself on the left side. To do that, subtract the 7. Do to both sides. This makes x = -5
Answer: 12 people per minute
Step-by-step explanation:
If you take the number of people loaded every 5 minutes (60) and divided it by 5
You will get 12, which means you can load 12 people on the rollercoaster per minute.