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Overbooking flights |
2008-07-10 |
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From DON:
Overbooking by Airlines
This is a simplified version of calculations used by airlines when they overbook
flights. They realize that a certain percentage of ticketed passengers will cancel
at the last minute. Therefore, to avoid empty seats, they sell more tickets than
there are seats, hoping that just about the right number of passengers show up.
We will assume that the no-show rate is five percent.
For a flight with 220 seats, the airline wants to find how sensitive various
probabilities are to the number of tickets it issues. In particular, it wants to
calculate
a) the probability that more than 225 passengers show up
b) the probability that more than 220 passengers show up
c) the probability that at least 215 seats will be filled
d) the probability that at least 210 seats will be filled.
To assess the benefits and drawbacks of issuing various numbers of tickets on an
airline flight with 220 seats, create a table showing as many different scenarios
as possible (table only on one page when printed) and use a second page for
your analysis and recommendation to the airline. Which are the good cases,
which are the bad cases for the airline?
Answered by Janice Cotcher. |
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Two numbers whose sum is 25 and whose product is 120 |
2008-07-10 |
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From Michelle:
Solve the following problem in at least two different ways.
Find two numbers whose sum is 25 and whose product is 120.
I know how to solve this problem by creating two equations
x+y=25 and xy=120 and then use substitution.
Are there any different ways of solving this problem?
Answered by Janice Cotcher and Penny Nom. |
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How far is the ladder from the wall? |
2008-07-10 |
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From Al:
a ladder is leaning against a wall at a 70 degree angle and the ladder is 20 feet tall...how far away is the ladder from the wall
Answered by Penny Nom. |
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What is the account value after 3 years? |
2008-07-10 |
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From Carlos:
Question
Suppose that you deposited $3,000 at the beginning of each year for three years in a savings account earning 4%. What is the account value after 3 years (approx)?
a. 9,120
b. 9,211
c. 9,739
d. 9,989
Answered by Penny Nom. |
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A convex quadrilateral in spherical geometry |
2008-07-09 |
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From Joan:
What is the min and max number of obtuse angles possible ia a convex quadrilateral in Spherical Geometry?
I know that the Saccheri has 2 obtuse angles and the Lambert has one, but are there other possibilities?
Thanks for your help.
Answered by Chris Fisher. |
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Egyptian fractions |
2008-07-09 |
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From vivek:
An Egyptian fraction has numerator equal to 1, and its denominator is a
positive integer. What is the maximum number of different egyptian fractions
such that their sum is equal to 1, and their denominator are equal to 10 or less?
Answered by Janice Cotcher. |
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Trigonometric equations |
2008-07-09 |
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From Carla:
Hello, my problem is as follows:
Solve the given equation for A, giving your answers in the interval from -180 to 180
4 sin A cos A + 1 = 2 (sin A + cosA)
Answered by Harley Weston. |
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A tangent line to a circle |
2008-07-09 |
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From Rita:
The tangent to a circle may be defined as the line that intersects the circle in a single point, called the point of tangency. If the equation of the circle is x^2 + y^2 = r^2 and the equation of the tangent line is y = mx + b, show
r^2(1 + m^2) = b^2
Answered by Harley Weston. |
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A four sided lot |
2008-07-09 |
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From michelle:
the front is 65.29
left side 162.26
the back 155.00
right side 101.01
right angle=50.00
left angle= 153.30
Answered by Harley Weston. |
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Smallest Even Number |
2008-07-09 |
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From Ma.:
Using the digits 0, 1, 3, 4, and 5 only once give the smallest 5-digit even number
Answered by Janice Cotcher. |
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Going from 45 mph to 35 mph |
2008-07-09 |
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From Terry:
How long (distance - feet AND time) will it take a car traveling at 45 mph to slow down to a speed of 35 mph?
Answered by Harley Weston. |
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Making Change |
2008-07-09 |
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From Peter:
In how many ways can you make 30 cents with quarters, nickels, and pennies?
Answered by Penny. |
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Hexadecagon |
2008-07-09 |
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From Dave:
I would like to know at what length and angle I would cut wood to make a Hexadecagon.
Answered by Penny Nom. |
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A dog tied to a round building |
2008-07-08 |
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From maitham:
i have this question which i don't know how to solve it :
One dog was linked to the outer wall of a building round of 20 meters in diameter. If the length of chain linking the dog sufficient turnover of half the distance around the building,
What area can guard dog?
they said that we can solve it by integral .. can you solve it for me?
Answered by Harley Weston. |
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Profit as a percentage |
2008-07-08 |
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From ANNORIS:
Question from annoris, a student:
How to calculate percent of profits using step by step division formula.
I know how to get the profit.
Selling cost was $15.00
Cost amount was $10.00
Total profits its $ 5.00.
But i do not know how to get the percent because i dont know how to divide to well . Can you helppppppp me ?
Answered by Penny Nom. |
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