John Salerno

Hi everyone. I just got a game for the Nintendo Switch called Menseki Genius, which has Area Maze puzzles in it. I've been staring at the very first puzzle for quite a while, and I'm stumped. Attached is an image of it. My initial figuring was that since the rectangles with areas 11 and 13 are prime numbers, their lengths and widths have to be 11x1 and 13x1, respectively. Working from there, I figured out some other sides, like the other side of the 22cm rectangle being 2, etc. But this isn't making complete sense, because that would make one of the sides of the 20cm rectangle 12, which has to be wrong. I've tried looking up how to solve these puzzles, but every example I've seen so far shows the puzzle with some of the full side lengths being revealed as well, but this puzzle in question doesn't show those. It only shows the areas of the rectangles. What am I doing wrong? How should I be approaching this? (FYI: no fractions or decimals are used, and the proportions are not necessarily visually accurate) Here is the image. The numbers in blue notes are my own guesses and are not a part of the original puzzle.

Wow, the problem wasn't the password, it was the user name! For some reason a different user name (albeit one I use on pretty much every other forum) was pre-entered into the sign in page, and I needed to change it to my full name. So yeah, feeling a little foolish, but I appreciate the help!

I don't understand what you mean. I am using a US keyboard, but why does that matter? I am typing in the proper letters one at a time. Not sure what else I need to check. I'm only able to respond to your post because once again I had to reset my password and re-login that way. I've also noticed that the sign in page is not a secure site, which doesn't seem especially safe to me.

Hi everyone. I'm having some trouble logging into the forums. Every time I try, it says my password is incorrect. I've used Chrome to remember the password, and I've also typed it in myself to be sure it's right, but it never works. I have reset the password twice already and that usually automatically logs me in, but when I return later I'm logged out again, and logging back in results in the same problem, even though I know for sure that I am putting in the right password. I've now reset the password for a third time and am back in, but I know when I return later tonight, I'll be logged out and won't be able to log back in until I reset it again. Any ideas on how to fix this? Thanks! John

Thanks! Just wanted to make sure I was learning how to do it the proper way, and not taking detours like you mentioned in the other thread!

Hello everyone. I've got another probability puzzle that I actually did solve, but I feel like I may have taken a longer route than necessary to arrive at the solution. I'm wondering if there is a simpler, more elegant way to solve it than the "backwards" approach I took. Basically, the problem is that you have 40 cards remaining in a deck, with all four aces still in the deck. If you draw two cards, what is the probability that exactly one card will be an ace? I didn't know how to solve it directly, so I thought it would be easier to find the probability of *both* cards being an ace and the probability of *neither* card being an ace, and subtract those amounts from 1: 1 - ( (4/40) * (3/39) ) - ( (36/40) * (35/39) ) This works, and I understand why it does, but it feels like more of a brute force method. Is there a way to directly solve for the probability of only one card being an ace? Thanks!

Thank you! After thinking about your comments for a few minutes, I finally figured it out! It was mainly your first sentence that led me to the answer! But I'm still a little confused about why it says to assume both events are independent. Isn't the second choice necessarily dependent on the first event?

Hello everyone. I downloaded a puzzle app from the Play Store that has probability puzzles, and I hate to admit I'm already stuck on the second puzzle! But I feel like I'm doing it correctly, though it says my answer is incorrect. I'm just looking for some general guidance for if I'm on the right track. I don't want the answer or a direct solution. If I'm wrong, a suggestion for certain keywords I could search for and read up on would be helpful too. Here is the puzzle: First off, I'm wondering if the word "uniformly" means something that I'm not aware of. I've never studied probability, so perhaps that's one aspect I'm missing. Second, even though it seems like drawing the second sock would be a dependent event, I don't understand why it says "Assume the two choices are independent." Maybe this is another thing I'm getting wrong. At any rate, I figure the answer is: probability of drawing a sock of one color the first time * probability of drawing a sock of the same color the second time = 1/3 * 1/5 = 1/15 But that doesn't seem to be correct. Any advice or subtle hints? Thanks!

Thanks. I've actually been searching for a good intro book to the subject of light, and so far I found this one: http://www.amazon.com/Introduction-Light-Physics-Vision-Color/dp/048642118X/ref=wl_it_dp_o_pC_S_nC?ie=UTF8&colid=2SSP0D0OTC6WF&coliid=I2KL719QS7RFGJ Feynman's book was an option, but I felt it might be a little too heavy for a basic introduction, although I do plan to read it eventually as well. I'll at least check out the videos for now, but I have to admit, as much as I've read about quantum mechanics, I still have a little "huh?" question mark over my head every time.

I was reading about how rainbows are formed in Richard Dawkins' book "The Magic of Reality," and basically it was described as such: light passes through the upper part of the outside of the drop of water (that is in the air) and then reflects off the interior of the back of the drop and then exits the lower part of the drop. My question is, why does the light seem to react differently to different parts of the water drop? In other words, why does the light pass through (rather than reflect off of) the upper part of the outside of the drop? Why does the light reflect off the inside of the back of the drop (rather than pass through the drop, in the same way that it entered it)? Finally, why does the light then pass through the lower part of the drop (rather than reflect off of it, as it did off the back of the drop)? To put it one more way, why doesn't the light either always pass through the water drop, or always reflect off of it, rather than do both at different parts of the drop? Hope that makes sense! Thanks, John

Well, I already said I saw an eye doctor. I'm going again Friday for a follow-up.

Is that what it means when it says "Zincum Gluconicum 2X"? That it was prepared that way?

That's why I asked my question. I don't understand why the word would be used on a box of throat lozenges that don't seem to be actual homeopathic medicine as I understand it in the technical sense.

This was it: http://www.walgreens.com/store/c/walgreens-zinc-cold-remedy-lozenges/ID=prod6091086-product

Yes, when I asked the pharmacist about the lozenges and mentioned that it said "homeopathic" on it, she said "That just means it's used to help prevent an illness." Clearly not the technical definition of the word. So I began to wonder if this is a secondary definition, or if perhaps it's a more palatable definition being used to "hide" the true meaning.