Recent content by DivineNathicana

My teacher said 10 and 4 something. Perhaps you are correct. How did you get that, OlderDan? Thanks for your help, Alisa

Eh I still can't get it. = / The answer is supposed to be the cars move at 10 m/h and the man walks at 4 m/h. But how..? heh - Alisa = /

"A double-track trolley line runs between two stations 6 miles apart. From each station cars set out for the other station every 7.5 minutes and proceed at uniform speed. A pedastrian leaves one station just as one car is arriving and another is leaving. He walks beside the right-of-way at...

Also, why can't the line have one of those 499500 slopes? If it did, it wouldn't necessarily have to cross any points: the lines with a slope equal to its could have a different y-intercep, and would thus just be parallel, not coinciding.

Also, instead of letting points pass over the line one by one, wouldn't it make sense to first find the mean point (nx/n,ny/n) and draw a line through that? And one more thing: there are an infinite number of slopes that won't be present in the 1000 points, even if there ARE a possible 499500...

Oh, I more or less get it now, thank you! One thing, though: I understand why nCr= 499500, and that 500*999 is also 499500, but I don't understand where you got 500 and 999 from. Also, can you please tell me the formula and its name just for reference? So to be able to actually solve this one...

Thank you for your help, hypermorphism. = ) I have a few questions: Why are there 1000C2 = 500*999 possible slopes, and what do you mean by overlaps? How do you know that the line can cross only one point at a time, and how do you know that if you moved it slightly, it wouldn't pass over more...

Please help! :bugeye: “ALL steps must be shown: A thousand points are graphed in the coordinate plane. Explain why it is possible to draw a straight line in the plane so that half of the points are on one side of the line and half are on the other. N.B. You must prove this in...

He meant The Fabric of the Cosmos by Brian Greene, and that's already out. I have it, but haven't started it yet. It looks promising. - Alisa

Hey guys, I can't find questionbot. How do I PM him? Thanks, - Alisa

Haha thank you! Maybe next time I should try to get started a bit earlier...

Ooh sorry haha I didn't realize what you were talking about. Okay, yeah, so (n-1)/n= 1-(1/n), I see that. So then wouldn't it be just 1/n if we consider all the factoring out?

Wait up, it's 2 A.M., and I can't think very straight. Why does (n-1)/n=1-(1/n)? And shouldn't we be doing factorials like ((n-1)!)/n! or something like that since all of this has to be multiplied?

I see the pattern, but I still keep on getting weird-looking answers such as ∞! --------- ((∞-1)!+1) The (----) being a division sign. If the symbol doesn't come out, it's supposed to be infinity.

I got infinity(1-2/n+2), where n= the denominator of the first of the two fractions being multiplied. That doesn't sound too solid...