The probability that the aircraft is overloaded is 97.98%, which means the pilot should take the action.
In a Normal distribution with mean ц and standard deviation σ, the z-score of a measure x is given by:
Z = X-ц / σ
· It measures how many standard deviations the measure is from the mean.
· After finding Z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
· By the Central Limit Theorem, the sampling distribution of sample means of the size n has standard deviation σ
σ = σ / 
σ is standard deviation
n is the sample size.
Given that the mean and the standard deviation of the population is 176.1 lb and 35.4 respectively.
⇒ ц = 176.1 and σ = 35.4
For a sample of 43 passengers, we have
n = 43
σ = 
σ = 5.398
Z = X-ц / σ
Z = 
Z = -2.05 has p- value of 0.9798
The probability that the aircraft is loaded is
1 - p-value of Z
1 - 0.0202 = 0.9798
The probability that the aircraft is overloaded is 97.98%
Know more about Normal probability Distribution: -brainly.com/question/9333901
#SPJ9
Answer:
Step-by-step explanation:
We are given the two functions:
And we want to find:
This is equivalent to:
Substitute:
Distribute:
Rearrange:
Hence:
Answer:
The Quantity 10$ per shirt represent a unit rate .
Step-by-step explanation:
Given:
There are 3 white shirts and 2 black shirts . per 10$ dollar.
To find:
Which quantities represent the unit rate ?
Solution:
Total of 5 shirts .
which means total of 50 dollar among 5 shirts.
i.e.50/5=10 dollars .
Hence each shirt causes 10 dollars or 10$ per shirt.
The Quantity 10$ per shirt represent a unit rate .
Answer:
The answer is D
Step-by-step explanation:
Answer: B. g(x) = |x| - 5
Step-by-step explanation: To translate an absolute value graph (|x|) you have to subtract 5 from the absolute value from the equation |x| but not from the value x. For example, if you did g(x) = |x - 5| then you would get a graph that is moved 5 spaces to the right. This is not what we want. Likewise if we did g(x) = |x + 5| then we would get a graph moved 5 spaces to the left. This is not what we want either.
To get a translated graph that moves down the y-axis (vertical axis), we have to subtract the equation |x| 5 units. This then moves it down 5 units to the y axis from the center.
