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Quandaries & Queries
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Dominos 2001-04-28
From Mark:
A standard dominoe set consists of 28 pieces, from double-zero to double-six

  1. Is it possible to arrange all those pieces in a straight line in such a way that the dots of any pair of adjacent pieces match? Please include picture

  2. Is it possible to arrange them in a circle and still meet the conditions in 1?


Answered by Claude Tardif.
Choosing a car 2001-04-28
From Ashley:
THE CAR DEALERSHIP IN TOWN OFFERS 32 DIFFERENT MODELS OF VIHICLES.EACH MODEL HAS A CHOICE OF EIGHT INTERIOR COLORS,EIGHT EXTERIOR COLORS,AND ALSO THE OPTION OF AUTOMATIC OR MANUAL TRANSMISSION. HOW MANY COMBINATIONS ARE POSSIBLE?
Answered by Penny Nom and Andrei Volodin.
A Taylor series 2001-04-27
From Karan:
Given the following information of the function
  1. f''(x) = 2f(x) for every value of x

  2. f(0) = 1

  3. f(0) = 0
what is the complete Taylor series for f(x) at a = 0

Answered by Harley Weston.
Triangles and fractions 2001-04-27
From Constance:
My name is Constance and I am thirteen years old (I am a student). The question that I am queering about I don't understand why you do ONE HALF x the base x the width WHEN YOU WANT TO FIND the area of a triangle? My second question is if you multiply one half and 10 together why does it come out as 5?
Answered by Penny Nom.
Lots of coins 2001-04-26
From A student:
I purchase 2 million coins at 9.75
I purchase 1 milion coins at 8
what is the formula to calculate my average cost?

Answered by Penny Nom.
A confidence interval 2001-04-26
From Kim:
A poll asked 1528 adults if they were in favor of the death penalty, 1238 said yes, find 99% confidence level for percent of all adult who are in favor of the death penalty.
Answered by Andrei Volodin.
How many 6 digit numeral combinations 2001-04-26
From Bryan:
How many 6 digit numeral combinations are there If you can only use 6 digits (1, 2, 3, 4, 5, 6) and no number can be used twice in the Numeral!
Answered by Claude Tardif.
Working together 2001-04-26
From Stephanie:
Tom takes 10 hours to piant a mural on the wall of Evergreen School. Carol takes 6 hours to do the same job. If they work together, how long will it take them to paint the mural?
Answered by Claude Tardif and Penny Nom.
Tonya in the orange grove 2001-04-25
From A parent:
Tonya was helping in the orange grove. She decided to take some oranges home to share with 3 friends. She gave 3 more than half to Jennifer. Angela got half the remainder and 3 more. She gave Josie half the remainder plus three. When she got home, she had only 10 oranges left. How many did she have when she left the grove?
Answered by Penny Nom.
A lemon and a recall 2001-04-25
From Katie:
A Man has two cars, a recall and a lemon. The probability that the recall starts is 10%. The proabability that the lemon will start is 5%.

What is the proabability that both cars will start?


Answered by Andrei Volodin.
Expected value 2001-04-24
From Cindy:
A game consists of rolling a single fair die. If a number great than 4 is rolled you win the number of dollars showing on the die. If any other number is rolled, you receive $1.00. What is the expected value of this game?
Answered by Andrei Volodin.
Squares of Fibonacci numbers 2001-04-24
From Vandan:
What discoveries can be made about the sum of squares of Fibonacci's Sequence?
Answered by Penny Nom.
Writing in the math curriculum 2001-04-23
From Wendy:
I am trying to incorporate more writing into my math curriculum. I am currently using journals and activities which involve written explanations. Any new ideas on how to involve my students more in the writing process in math class?
Answered by Walter Whiteley.
A few problems 2001-04-22
From Carol:
Hello I am a College student trying get through my elmentry concepts class. I am also working with the middle and elementry school student with their work. I was given a few problems to work on and i am having a hard time explaining them to students. DO you think you can help with a coupld of these questions!
Answered by Penny Nom.
Oil revenue 2001-04-21
From Brian:
Suppose that t months from now an oil well will be producing crude oil at the rate of r(t), not a constant, barrels per month and that the price of crude oil will be p(t), not a constant, dollars per barrel. Assume that the oil is sold as soon as it is extracted from the ground.
  1. Find an expression for the total revenue from the oil well, R(t).

  2. A certain oil well that currently yields 400 barrels of crude oil a month will run dry in 2 years. The price of crude oil is currently $18 per barrel and is expected to rise at a constant rate of 3 cents per barrel per month. What will be the total revenue from this well? {Hint: Model the degraded production rate with the equation:
    r(t) = (A-Bt)e0.04t}

Answered by Harley Weston.
 
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