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%
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Answer:
About 57238.562767982 meters
Step-by-step explanation:
Answer:
He earns a commission of $66.88.
Step-by-step explanation:
8% of the stereo sale price comes out to 0.08($836.00) = $66.88
He earns a commission of $66.88.
I’m retailing there is a direct interaction with the answer is all of the above
Using the Pythagorean theorem:
a^2 + b^2 = c^2
a and b are the sides and c is the hypotenuse.
The length of the ladder would be the hypotenuse and the base away from the wall would be one side.
So now we have:
5.5^2 + b^2 = 9^2
Simplify:
30.25 + b^2 = 81
Subtract 30.25 from each side:
b^2 = 81 - 30.25
b^2 = 50.75
Take the square root of both sides:
b = √50.75
b = 7.123
Rounded to the nearest tenth of a foot = 7.1 feet.