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Quandaries & Queries
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Odd plus even is odd 2001-10-14
From James:
Why is the sum of an odd number and an even number always odd?
Answered by Peny Nom.
Area of a quilt 2001-10-14
From Jack:
  1. how would you find the area of the quilt? which is a square

  2. how would you fined the area of each square?

Answered by Penny Nom.
Theme day 2001-10-14
From A teacher:
I woulld like a math theme for a theme day in a high school, grades 9-12. Our last theme was fractal fest.
Answered by Penny Nom and Claude Tardif.
Maximize the area 2001-10-13
From Mike:

I have no clue how to do this problem. Here is what the professor gave to us:

A=LW

C=E(2L+2W) + I(PL)

Where P = # of partitions

E= cost of exterior of fence

I = cost of interior of fence

C = total cost of fence

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Answered by Harley Weston.
Mathematical & conventional meaning of a word 2001-10-12
From A student:
What is the mathematical & conventional meaning of a word? Like the word Rational or Median.
Answered by Penny Nom.
60 seconds in a minute 2001-10-11
From Andy:
I am a fourth grade teacher. Yesterday my students asked "Why are there 60 seconds in a minute?" Which also led to 60 minutes in an hour? I have had trouble determining why the number 60? Any help would be appreciated.
Answered by Penny Nom.
4 sinx cosy = 1 2001-10-10
From A student:
How would i differentiate the following example in terms of t (x and y are functions of t)

4 sinx cosy = 1


Answered by Claude Tardif.
Acres 2001-10-10
From Allison:
how many feet are there in an acre?
Answered by Chris Fisher.
eix = cosx + isinx 2001-10-10
From Peter:
Given: eix = cosx + isinx
  1. substitute -x for x to find e-ix, simplifying your answer

  2. use the given and part a to find an identity for cosx making no reference to trig functions

  3. find an identity for sinx
  4. .
  5. .

Answered by Penny Nom.
When will the ship disappear? 2001-10-10
From Stacy:
If the sail of a ship were a 100 ft. tall and you were a mouse at the edge of the shore looking out at it, how far out would the ship be when it disappears? ( your eye level is level with the water.)
Answered by Harley Weston.
Ratio and proportion 2001-10-10
From Steve:
Where would you use a proportion and/or a ratio in a real life job or problem.
Answered by Leeanne Boehm and Walter Whiteley.
Six nines 2001-10-09
From A mom:
My middle schooler (sixth) has to calculate the integers 0-20 using only 6 nines. We have done all but the integer 14. He can not use decimals or double the nine like 99 or 19. the fraction 9/9 is okay. Keep in mind of course the order of operations.
Answered by Claude Tardif.
Pythagoras & magic squares 2001-10-09
From John:
My grandson became intrigued when he recently 'did' Pythagoras at elementary school. He was particularly interested in the 3-4-5 triangle, and the fact that his teacher told him there was also a 5-12-13 triangle, i.e. both right-angled triangles with whole numbers for all three sides. He noticed that the shortest sides in the two triangles were consecutive odd numbers, 3 & 5, and he asked me if other right angled triangles existed, perhaps 'built' on 7, 9, 11 and so on.

I didn't know where to start on this, but, after trying all sorts of ideas, we discovered that the centre number in a 3-order 'magic square' was 5, i.e. (1+9)/2, and that 4 was 'one less'. Since the centre number in a 5-order 'magic square' was 13 and that 12 was 'one less' he reckoned that he should test whether a 7-order square would also generate a right-angled triangle for him. He found that 7-24-25, arrived at by the above process, also worked! He tried a few more at random, and they all worked. He then asked me two questions I can't begin to answer ...

  1. Is there a right-angled triangle whose sides are whole numbers for every triangle whose shortest side is a whole odd number? and

  2. Is each triangle unique (or, as he put it, can you only have one whole-number-sided right-angled triangle for each triangle whose shortest side is an odd number)?

Answered by Chris Fisher.
Lucas' theorem 2001-10-09
From Tania:
How could I demonstrate: nCp is congruent to floor(n/p) (modulo p)? where rCk is a binomial coefficient, rCk = r(r-1)...(r-k+1)/k(k-1)...1, and p is a prime number
Answered by Richard McIntosh.
Binomial probabilities 2001-10-08
From Amna:
I had a few binomial probability questions which I can not use from the tables as instructed:
  1. If 60 % of television viewers are watching a certain program, what is the probability tha tmore than half of those selected in a random sample of five will be watching the specified program?

  2. If it is known according to Mendel's Law, that we can expect in teh long run to have 3 white, 1 brown rabbits in every 4 rabbits of a certain type, what is the probability that 2 in a litter of 3 will be white?

  3. On the average, 2% of the items sold in a department store are returned for refunds. what is the probability that of its next five items sold, at most two will be returned for refunds?

Answered by Leeanne Boehm.
 
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