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How to interpret 5 to 1 odds vs a 5:1 ratio i.e. both into a fraction

So like 5 to 1 odds of Horse A to Horse B winning a race implies Horse A is 5 times as likely to win. i.e. Probability horse A wins is 5/6 while horse B is 1/6.

But if I have a "normal" ratio 5:1 it would be converted, as a fraction, to 1/5 horse B wins vs 4/5 horse A wins. (see this simple video confirming this https://www.khanacademy.org/math/in-sixth-grade-ma... )

Does this sound right or is there a better way of interpreting it?

How to derive the following formula:

where sd stands for standard deviation; and (p(x,y))^2 is correlation between x and y squared, e-error

sd(e) = sd(y) sqrt[1-(p(x,y))^2]

if y = a +bx + e

So if the standard deviation of, say, a portfolio is 15%, what is its variance? I am getting confused because 15%=0.15 and normally you just square standard deviation to get variance. Now 0.15^2 is 0.0225 which translates back to 2.25%... but 15^2 is 225. So is variance 225% or 2.25% in this case.

if sqrt(x+y) +2x-1=y find x and y if x and y are both rational numbers. I know there is a trick to this but I just can't find it. (I think it has to do with forming other equations)

An iPhone 4 or an iPad Mini? And how much better would it be (would it be notable).

My dog is about 7 years old, is usually really active (runs non-stop for 20-30 minutes at a time) but then he started having trouble with one eye, usually having it only half way open or completely closed so my family took him to the vet. The vet didn't really do much, just said his eye was dry and gave me some medicine. I gave my dog the medicine for 2 days but now his eyes are really bad, he barely opens either of them and today, about 3 times, he started whelping really bad, rubbing his eyes.

I think both his eyes are really dry, so i tried to carefully clean them with water, but he still got worse throughout the day.

What should I do? I don't think I can take him to the vet again because my parents make a point not to "fuss" over him so I am the only one that is really worrying about him.

What are factors that effect the slope of the Phillips curve (relationship between changing inflation and unemployment)

Ok so lets say we go to the point where both animes are now. (Fk the manga, if I wanted to read I would do my University recommended readings).

Let me point out some things before we begin the debate.

1) Both animes are on a similar level in terms of power. Bringing in anime's like DBZ where super sayains and pink bloob monsters can destroys planets with ease, it is hard to imagine anyone other anime (except maybe tenga toppa gurren lagaan with robots that throw galaxies at each other) matching up to it. How is luffy or naruto meant to fight against Goku at super sayan 4 who can destroy a planet with ease.

2)Sure we have some characters that certainly seem like they could destroy the planet (with great effort), like white beard in onepiece who Sengoku said "had the power to destroy the world", but even so was not able to completely destroy marineford, and we have characters in naruto that are trying to destroy/enslave the world like Madara Uchia, or the sage of the six paths who created the FRIGGING MOON. Either way, both these anime's seem to be on an even playing field now heres the question.

Who wins, Luffy or Naruto. Loving both Anime equally I can remove my bias but still cannot determine who would win, but I wanna hear your (well reasoned) opinion on who wins! Remeber these few things.

Luffy: He has the durable rubber body, he has the willpower and he has the dream to be king of the pirates. He would be naturally immune to most punches and kicks thrown by anyone but any shuriken or kunai would deal some serious damage against this rubber man. His haki would be on par with narutos sage mode with 1 exception, the conquerors haki (Haōshoku Haki). While this haki alone won't be able to subdue a man of naruto's will, naruto, being without haki, would probably suffer some minor damage constantly, struggling under luffy's influence. He is pure hearted and is oblivious to the woes of women (unlike naruto). If naruto ever tried his sexy jutsu this rubber man would take no notice and clobber the sexified naruto's. He has geer 2 and 3 which speed him up and add strength to his attacks many times over.

Naruto: He has the chakra, he has the demon fox, and he has the dream to be number one ninja in his village (and lets face it, the world). While he may not have a Kekkei Genkai (bloodline limit) he has the will of fire. His sage mode is no laughing matter. Just like haki he reduces the damage he feels by armouring himself with nature chakra and can deal extra damage just like with haki in this mode. He can sense all those around him and his frog kumite would be a great technique against close combat fighters. Now controlling the 9 tails chakra he is well on the way of being a perfect jichuriki and using this chakra would probably make him as fast as narutos gear 2. Both are techniques that take tolls on their bodies.

Overall it seems like a tie. What naruto lacks in pure physical speed and power (like narutos gatling gun in gear 2 which seems insanely fast), naruto makes up in variety of techniques (luffy being limited to just punching and kicking while naruto has a variety of jutsu like shadow clone, replacement technique, rasengan and being able to throw the wind shuriken.

If you really think one beats the other, please state so!

So who do you think wins? and why!

I am just curious but I saw this funny video online about a sketch were a successful white Christian male called up a member of the KKK and asked them some thought provoking questions. It was all made to portray how ludicrous the KKK is and everything but it got me wondering, how "white" do you have to be to join the KKK.

Never being discriminated before in my life the thought of a group of people not wanting me to join them got me thinking. This is because even though I was born in Australia, my father and mother are from Mexico and Portugal, would this be enough for me to be one of the people they hate?

Obviously I am not stupid enough to join them, God blessed me with a few brain cells to guide me to that conclusion, but yeah I guess I am just curious.

Can you solve the following, where a,b,c, f and g are positive constants. To get a neat results for x and y:

1) c*(a+b)*x^(a+b-1)*y^(b-a)=f

2) c*(b-a)*x^(a+b)*y^(b-a-1)=g

you cant just divide... I don't think.

If I am trying to prove one sum, from k=1 to k=say100, is equal to another sum from k=1 to k=100

so each sum has a different function, say sum(g(k)) from k=1,100 and sum(f(k)) from k=1,100.

Can I expect that for them to be equal, g(k) = f(k) always?

Ok here's one thing you have to know about me. I fall asleep as soon as I have an orgasm (I am a guy). I noticed this a while back and it isn't like I can control it, I have tried, but as soon as I have an orgasm I loose consciousness. I can't actually wake up for about 1 hour. I found this out because after I had an orgasm when I was younger I fell a sleep and the girl I had been with tried to wake me up. The stove had caught fire while we made love and she was trying to wake me up but couldn't. I woke up about 1 hour later in hospital and was told that I had been rushed there and the doctors were going to diagnose me as being in a comma.

So here is the situation. I am posting this from my phone and I am in a bar with a really hot girl. She wants to have sex in the toilet and is getting ready but I know that I will fall asleep after so what should I do?

Even though I am quite successful for my age (I do not mean to boast but lets just say I am smarter then average and have a few skills most people don't have), why do I think of suicide? Why does it seem the harder I try, the further behind I end up against my friends. I know if I keep at it I can make something of myself but on the other hand, some days, much like today, when the failures pile up, my strength falters and I find myself wondering what is there to live for if these fails don't stop.

If jack fell down and broke his crown, would Jill come tumbling over?

He could've ended all this Shippuden Sh!te right there and then. Chief toad even fought almost evenly against the sand thing with 1 tail. As if he couldn't kick Sasuke's ***.

I am a photographer and I am currently working on an "Indigenous people of the world" project so I need a lot of native people (especially Australian Aboriginals and African-Americans) to gather in a nice environment to have a photo shooting. Where can I do this?

With some evil in my eye, and wondered. Is this the real life, or is this just fantasy? So I met up with my old friend, Darkness and I told him we needed to talk again. We sat down on the parking lot, (it used to be paradise there but they paved it) and I told him about this little blue guy in our blue world, who sees nothing but blue. He got fed up about this depressing guy and said "I'm sick of this conversation, I need a little more action please". I realised then I was a little too much bite and needed some more bark. That's when I got a gun, put the gun against his head and pulled the trigger. Later that evening I told my mama what I had done. I didn't mean to make her cry.