I got this as well, but something about this whole thing makes me think that Doctor Q is going to do something clever and show us how wrong we are.
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Can anyone get this tricky math problem?
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I got this as well, but something about this whole thing makes me think that Doctor Q is going to do something clever and show us how wrong we are.
((500pages x 3books) x .004") + (4covers x .0625") = 6.25"
(7girls x 2legs) + (7girls x 7backpacks x 7big cats x 4legs) + (7girls x 7backpacks x 7big cats x 7small cats x 4legs) = 10990legs
Doh!, you guys are right, you only need 500 pieces of paper to get 1000 pages.
In that case the answer is 6.25"
In that case the answer is 6.25"
There could be 501 pages per book if, after opening the cover you see that the first page facing you is blank, flipping that you see pages 1 and 2, then 3 and 4, until you get to the end which has 999 and 1000. Flipping 1000 would leave a blank side of the page. Which would be 501 pages per book. They might do that in order to not have the ink rub off from page 1 or 1000 onto the harder outside of the book. Poor little inch worm would have to inch 3/250ths further!
Explanation (highlight to see):
The books (square brackets indicate covers):
The amount chewed through:
Why? Because the first page of A-I is to the right on the shelf, and the last page of S-Z is to the left.
So four covers plus, as has adequately been explained, 500 pages.
4x(1/16) + 500x(1/250) = 4/16 + 500/250 = 1/4 + 2 = 2.25".
As per Nermal. I just felt it was time to explain.
The books (square brackets indicate covers):
[A-I][J-R][S-Z]
The amount chewed through:
][J-R][
Why? Because the first page of A-I is to the right on the shelf, and the last page of S-Z is to the left.
So four covers plus, as has adequately been explained, 500 pages.
4x(1/16) + 500x(1/250) = 4/16 + 500/250 = 1/4 + 2 = 2.25".
As per Nermal. I just felt it was time to explain.
I was kind of hoping Q would come along and say "Nermal's right, now figure out why" but you had to go and ruin that, didn't you?
As per Nermal. I just felt it was time to explain.
I knew I wasn't right for some reason.
I got this as well, but something about this whole thing makes me think that Doctor Q is going to do something clever and show us how wrong we are.
You ruined the prophecy jsw! Only Doctor Q was to show us the way!
Fine, fine, I white-texted it.I was kind of hoping Q would come along and say "Nermal's right, now figure out why" but you had to go and ruin that, didn't you?
I just wanted your brilliance to be proven correct.
You assume we're different people, now, don't you?You ruined the prophecy jsw! Only Doctor Q was to show us the way!
You make a good point - they might also have been laid flat, in which case we'd need the width and/or height of the paper as well as information about the binding, which wasn't provided.
I was waiting for someone to post the correct answer AND an explanation. Nermal was first with the answer, jsw with the explanation.
The cute friendly bookworm says thanks for the snack.
The cute friendly bookworm says thanks for the snack.
I got the answer on my first try. It was pretty easy; however, I don't think we should be bragging it was easy since it is for 5th graders. I mean, come on, post something challenging!
I mean, come on, post something challenging!
Ok, since you asked.
There are 3 doors. Behind 1 door lies immense wealth and riches. Behind the other two lie certain death.
A guard asks you to choose a door and you pick #2. The guard then reveals to you what's behind Door #1 and you see that behind it was one of two chances of certain death.
The guard now asks you if you would like to change your selection from Door #2 to Door #3.
Mathematically is there a probability increase that benefits you if you change doors?
BTW, I don't know the answer to this, but I've seen it thrown around a few times
Pick any of these and report back with the answer!I got the answer on my first try. It was pretty easy; however, I don't think we should be bragging it was easy since it is for 5th graders. I mean, come on, post something challenging!
Yes!
Edit: damn it! Darned kids forcing me to make them fruit smoothies and slowing down my response time. Grrr. In a few months, though, I shall prevail!
Can you prove which is larger, e^pi or pi^e, using properties of those numbers rather than simply computing the exponentials?
It's a real question, not a trick. I had this problem on a test. If only I could remember the answer!
It's a real question, not a trick. I had this problem on a test. If only I could remember the answer!
Ok, since you asked.
There are 3 doors. Behind 1 door lies immense wealth and riches. Behind the other two lie certain death.
A guard asks you to choose a door and you pick #2. The guard then reveals to you what's behind Door #1 and you see that behind it was one of two chances of certain death.
The guard now asks you if you would like to change your selection from Door #2 to Door #3.
Mathematically is there a probability increase that benefits you if you change doors?
BTW, I don't know the answer to this, but I've seen it thrown around a few times
Yes, your odds are increased by changing doors as "odd" as that seems. The first time you select a door you have a 1/3 chance of picking the right door and a 2/3 chance of picking the wrong door. After a wrong door has been revealed to you, the door you picked still has a 1/3 chance of being right however the other door now has a 2/3 chance of being right. Change doors!
Monty Hall problem...real creative . Now if one of us explained that in a simple format without links to wikipedia (or borrowing any of their descriptions/examples) that would be much more impressive. My father taught statistics & probability at a graduate school and explained it in very simple terms before wikipedia existed which made it easy (not that me the psychology major, law school student could understand ).
sure i'll solve those and get back to you.....in say, when some else figures them out, I pounce on their answers, and post them here first
. Now if one of us explained that in a simple format without links to wikipedia (or borrowing any of their descriptions/examples) that would be much more impressive. My father taught statistics & probability at a graduate school and explained it in very simple terms before wikipedia existed which made it easy (not that me the psychology major, law school student could understand ).sure i'll solve those and get back to you.....in say, when some else figures them out, I pounce on their answers, and post them here first
What, you're looking for real effort out of us?!
Why reinvent the wheel when Wikipedia already has a good, thorough explanation?
This is quite easy to do visually with no math.
Epi:
Pie:
I think the visual cues allow it to be easily shown that the Epi is much smaller than a typical pie.