How many nickels are in a quarter
2 answers:
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Answer:
Step-by-step explanation:
Given
Tower one = 15.6 cm
Tower two = 18.3 cm
Tower 3 = 13.9 cm.
Required:
Height of the 4th tower
Represent a cube by X; a cylinder by Y and a hexagonal prism by Z
Tower one, a cube with a hexagonal prism = X + Z = 15.6
Tower two, a cube with a cylinder = X + Y = 18.3
Tower 3, a hexagonal prism with a cylinder = Z + Y = 13.9
----- Equation 1
----- Equation 2
----- Equation 3
Subtract equation 1 from 2
---- Equation 4
Add Equation 4 to Equation 3
Divide both sides by 2
Substitute in Equation 2 and 3
----- Equation 2
Subtract 8.3 from both sides
----- Equation 3
Subtract 8.3 from both sides
So, we have that
The question states that the 4th tower is made up of the three shapes;
This implies that;
The height of the 4th tower is 23.9cm
Answer:
Step-by-step explanation:
Given that the demand for the 6 p.m. flight from Toledo Express Airport to Chicago's O'Hare Airport on Cheapfare Airlines is normally distributed with a mean of 132 passengers and a standard deviation of 42
Let X be the no of passengers who report
X is N(132, 42)
Or Z is
a) Suppose a Boeing 757 with a capacity of 183 passengers is assigned to this flight.
the probability that the demand will exceed the capacity of this airplane
=
b) the probability that the demand for this flight will be at least 80 passengers but no more than 200 passengers
=
=0.4474+0.3907
=0.8381
c) the probability that the demand for this flight will be less than 100 passengers
d) If Cheapfare Airlines wants to limit the probability that this flight is overbooked to 3%, how much capacity should the airplane that is used for this flight have? passengers
=
e) 79th percentile of this distribution
=