Step-by-step explanation:
Answer:
The probability that the aircraft is overload = 0.9999
Yes , The pilot has to be take strict action .
Step-by-step explanation:
P.S - The exact question is -
Given - Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 37 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6,216 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 6216/37 = 168 lb. Assume that weight of men are normally distributed with a mean of 182.7 lb and a standard deviation of 39.6.
To find - What is the probability that the aircraft is overloaded ?
Should the pilot take any action to correct for an overloaded aircraft ?
Proof -
Given that,
Mean, μ = 182.7
Standard Deviation, σ = 39.6
Now,
Let X be the Weight of the men
Now,
Probability that the aircraft is loaded be
P(X > 168 ) = P( )
= P( z > )
= P( z > -0.371)
= 1 - P ( z ≤ -0.371 )
= 1 - P( z > 0.371)
= 1 - 0.00010363
= 0.9999
⇒P(X > 168) = 0.9999
As the probability of weight overload = 0.9999
So, The pilot has to be take strict action .
Answer:
No,
Step-by-step explanation:
No, it's irrational.
Because, it is a non-terminating non recurring type number.
The area of the composite figure with 3 semicircles connected to 3 sides of a square is (6π+16).
<h3 /><h3>What is a semicircle?</h3>
A semicircle is a plane shape that is a part of a circle divided into two equal parts through its diameter.
Analysis:
Since the semicircles are connected to 3 sides of a square 4cm, the diameter of the semicircle is 4cm.
Radius of semicircle = 4/2 = 2cm
Area of a semicircle = π/2 = /2 = 2π
For three semicircles = 3 x 2π = 6π
Area of square = = = 16
Area of composite figure = Area of 3 semicircles + area of square
Area of composite figure = (16 + 6π)
In conclusion, the area of the composite figure is (16 + 6π).
Learn more about area of plane shapes: brainly.com/question/20475473
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