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Central Limit Theorem and Law of Large Numbers |
2000-06-26 |
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From Jonathan Yam:
The Central limit Theorem states that when sample size tends to infinity, the sample mean will be normally distributed. The Law of Large Number states that when sample size tends to infinity, the sample mean equals to population mean. Is the two statements contradictory?
Answered by Paul Betts and Harley Weston. |
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Cascade |
2000-06-22 |
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From Peter Bengtsson:
Can you help me find an equation for this correlation? 2*1+1
3*2+0
4*2+2
5*3+0
6*3+3
7*4+0
8*4+4
9*5+0
10*5+5 This is the way scores are calculated when you play the game Cascade. The more number of balls you manage to "click away", the better score you get. So, I wrote down lots of results for different amount of balls I clicked away. Clicking away one pair (two adjacent) of balls means 3 points. Clicking away three adjacent balls means 6 points. etc. You can see this from the list above. What I now want to do is to find an equation with only ONE unknown! Y= kn*X+c or something. Whereby I only know X, I can find Y.
Answered by Penny Nom. |
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A bar over a Roman numeral |
2000-06-21 |
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From Charles Fontaine:
Is there any significance to the bar placed over some Roman numerals?
Answered by Penny Nom. |
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Cairo tesselation and Archimedean duals |
2000-06-21 |
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From Joyce DuVall:
I am looking for a picture of the Cairo tesselation, and pictures of the Archimedean duals. Do you know of any good web sites or books?
Answered by Penny Nom. |
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Lines on an oscilloscope screen |
2000-06-20 |
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From Janis Watson:
What are the proper names for the vertical and horizontal lines on a graph? I am trying to explain an oscilloscope screen, and I don't know what to call these, except "vertical lines" and "horizontal lines."
Answered by Penny Nom. |
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The speed of light |
2000-06-19 |
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From Benny Lau:
I have a personal questions. In physics,if a person is running on a train, his relative speed on the ground will be the addition of the speed of train and the person. If u have a train inside another train and inside another train, so on...... can u reach the speed of light? It would need a very long distance. But if we make all the train travel in circles. Then we don't need that much distance. So can we achieve the speed of Light?
Answered by Robert Coleman and Harley Weston. |
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Numerator and denominator |
2000-06-18 |
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From Maureen Beard:
What is the origin of the terms numerator and denominater?
Answered by Penny Nom. |
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Combien y aura t il de 9 dans la réponse? |
2000-06-17 |
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From Marie:
J'ai lu une énigme mais je n'ai pas la réponse."si l'on divise 123 456 789 par 999 999 999, combien y aura t il de 9 dans la réponse?"
Answered by Claude Tardif. |
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Names for large numbers |
2000-06-16 |
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From Mireille Carthier:
I am trying to find the common names (in English and French) for the big numbers as follows: | | English | French | | 106 | million | million | | 109 | billion | milliard? | | 1012 | trillion | billion? | | 1015 | ?? | trillion? | Thank you very much
Answered by Claude Tardif and Harley Weston. |
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A sequence |
2000-06-16 |
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From Claire Hall:
Can you find the formula for the pattern 4,12,24,40,60
Answered by AClaude Tardif. |
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Simplifing |
2000-06-15 |
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From Angie Herbert:
My daughter is having problems with her algebra homework. She is a year 7 pupil at high school in the UK. She has been given homework on simplifying formulae and she doesn't understand how to do them. Here is an example of one of the questions : 9s+7t+5c+5s-3t can you help her to understand how to do these and perhaps me too.
Answered by Penny Nom and Claude Tardif. |
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A percentage question |
2000-06-15 |
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From Michael Smith:
I need a percentage for a business plan. How much is one-percent of two-hundred and thirty-nine million?
Answered by Penny Nom. |
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le nombre d'or |
2000-06-14 |
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From Belhaj Saad:
quel est le nombre d'or?
Answered by Claude Tardif. |
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Rectangles and algebra |
2000-06-13 |
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From Kirstin:
A rectangle's length is 4 more than twice its width. The area of the rectangle is 336m squared. What is its length?
Answered by Paul Betts and Penny Nom. |
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Two problems |
2000-06-12 |
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From Sharon:
If f(4)=0 and f(6)=6, which of the following could represent f (x)? A. 2/3x-4 B. x+2 C. x-4 D. 3/2x+6 E. 3x-12 these are problems to study for a test so I need to know the answer and how it was solved! I have one more question If 180o < theta < 270o and tan theta = 4/3, then sin theta =? A. 5/4 B. -4/5 C. 3/5 D. 12/5 E. -3/5
Answered by Harley Weston. |
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