## In Assessing Normality, where did the pattern for the cumulative areas 1/2n 3/2n 5/2n 7/2n & so on come from?

In assessing normal distribution, I can see the pattern for the cumulative areas to the left of the corresponding sample values: 1/2n 3/2n 5/2n 7/2n and so on, that is:

numerator = odd numbers only (it seems)
denominator = 2 multiplied by the value of n

My question is why does the numerator consists of only odd numbers? How did this pattern come about? Why is the number 2 constant in the denominator? Does the pattern go on indefinitely?

Please help! I know it is easier to use the calculator but I really want to understand this concept!

Thanks!

Good luck!

## Weight Watchers and Multiple Servings?

Hi, I have done WW in the past and haven’t since 2007. I have decided to come back to it and i am doing WW Online!

I am curious about how to calculate points for multiple servings. When I first started the program in 2006 my WW coach told my self and many others that if you have a meal that is worth 5 points, and you have a second serving the second serving would be 10 points, making it 15 points for the whole 2 servings.

I have bought the WW kit with books and calculator and in the calculators instructions it says once you finish putting in the protein, carbs, total fat, fiber, and then get your value hit the X button and put in how many servings you are having and get a new total for the dish. Now this seems a bit odd to me. Say I eat a meal that has Protein 10 g, Total Carbohydrate 48 g, Total Fat 0.5 g, and Dietary Fiber 1 g I get 2 points for 1 serving and when i put that in get my 2 points total hit the X and put in 2 for two servings I get a total of 4 points for both servings together.

It seems to just be doubling the points, nothing more. Can someone please clarify how to properly calculate having 2 servings of a meal. Also I have read that say you have a chicken breast at noon and that is 4 points that if you have it again at dinner say 6pm they count as individual servings not second servings is that correct or do you actually indeed count it as a second servings?

That is a good question. It is true that when you double the serving size the PointsPlus values can change. For example if you eat something that is 2 Points per serving, that doesn’t always mean that if you have two servings (at the same time) that it will be 4 Points, it could be 5 or 6 Points. So when you use the calculator double the nutritional information if you are having two servings at one time. If you can figure your PointsPlus values using Weight Watchers Online, that’s the best way to go. Please note that we no longer use .5 (Total Fat 0.5 g) when we calculate our Points, you need to round up to 1 gram.

Also if you have chicken breast at two different times during the day, then it is considered a single serving since you are not doubling up the portions at one given time. I hope this info helps you.

## Need help with a graph?

First, are there any websites that serve the purpose of a graphing calculator?

And second, here’s the equation:

y = x^3 – x

I need to find out..

– is the point (3,2) on the graph
– is the point (2,6) on the graph
– is the function even, odd, or even (I can do this one, hopefully)
– whats the y-intercept
– what are the x intercepts

A website that could substitute a calculator, so I could graph this puppy, would be great, if there is one…

Other than that, any help with the info I need would be greatly appreciated.

Http://gcalc.net/

y = x³ – x
2 = 3³ – 3
2 = 27- 3
2 = 24 Not true

6 = 2³ – 2
6 = 8 – 2
6 = 6 True (point lies on graph)

f(-x) = (-x)³ – (-x)
f(-x) = -x³ + x
f(-x) = -f(x) = Odd

y-intercept
y = o³ – 0
y = 0
(0, 0)

x-intercept
0 = x³ – x
0 = x(x² – 1)
x = 0
(0, 0)

x² – 1 = 0
x² = 1
x = ±1

(1, 0) ,(-1, 0) and (0, 0)

## i’m 16. 5ft10″, 16 stone 3lbs. bmi said im overweight but…?

hi.
i’m 16, male.
5ft10″
16 stone 3 lbs (227lbs).
34″ waist.

i play a lot rugby, cycle for at least 1 or 2 hours a day and occasionally go to the gym. i eat around 2500 calories a day and eat healthily, but i do have the odd packet of crisps/chocolate thrown in, and have a take-away every fortnight.

but… i typed it in on a bbc bmi calculator and it came up saying obese !! i can pinch about an inch off my stomach/chest, but thats the only place on my body i can pinch fat.

do i need to lose weight then? it’s just it seems odd because i am healthy and i dont exactly look obese! lol

You’re fine bro. Muscle weighs a lot more than fat. I’m guessing you have a lot of muscle ‚cause you play rugby. 1 inch off your stomach/chest is NOT obese. No way, keep doing what you’re doing man. If you want to lose a bit of weight, cut 200-300 calories out of your diet everyday (try and make that the crisps).

## i think i have a problem?

it has to be mental for some odd reason since the year 2000 before KNOWING came out ive been randomly putting numbers in my note pads for years i have 100,000 or more notepads of numbers my brain picks OCD my doctor said is not possible for this type of behavior i add them up different ways i like all the numbers problem is its so weird ill put it like this and this is what i think in my mind

give me a second to postion the keyboard

10299210192991998010332011002001091001… ok and if that ain’t weird enough i dont have any other disoders like (hearing voices) seeing things being delousional or anything but its been since 2000 now i add them up like this

001/9/39/+289 what does that have a significant nothing! im not OCD either cause i do this only once in a while i can watch tv while doing it! then i will look through books count the letters and add it up then put all the number counts into a notepad then take all those numbers add it into a calculator and BAM! it ads up to some random number never knowing what it means so i started to do a google search first thing comes up is the movie knowing now ovcourse this started before it so im sure im not the only one with this type of weird problem i know for a fact i dont have any *super abilitys* or any features of that sort i know im on earth i know im human but numbers just numbers run through my head and i type them down nothing else nadda i do lead a normal life but find this very odd i ask to my self why do i do this? in the Mental hospital they said to write what you are thinking so i closed my eyes and imagined the paper and i could clearly wright on it with out looking and put the numbers in an exact number sequence they matched! they don’t understand at the mental hospital how this was even possible i don’t want to share this with other people cause they think im crazy im not but the number thing ads up very strangly to certain time things i cannot comprehend but remember i don’t hear or see anything its just numbers.. they add up to different event