Applied Mathematics

since this is a "what are the chances" type of question i figured this forum would suffice. There is lightning outside so i just though of this.. you can skip the story if you want go down to the //////////'s when i was 10 yrs old i was staying at a summer house my grandmother has that is in pennsylvania. the house is pretty high up on a mountain and is surrounded by trees. one day it was gloomy, not really raining much, just very cloudy and light drizzle here and there. so i was bored and i went out to play with my trucks (stop laughing at me i was 10) my grandmother was on the right side of the house and called for me to go to her, so i started walking and whe…

OK, I have this problem stuck in my mind and I need to know the equation. There is a square consisting of six rows of six squares, thus thirty six miniature squares inside that one, but how many squares can be formed from that big square??? Does anyone know the formula???

Can anyone help me with this one. A horizontal boiler shell is 150 cm in diameter and 5m long. It is filled with water to a depth of 100 cm. What is the area of the segment of the end plate above the water line? I'm not sure where to begin with this one. Do i have to find the Areas of the Circle, Sector and the triangle and then subtract the triangle area from the sector area to get the area of the segment? If so how do i find the triangle area, what numbers do i use? Am i even going in the right direction with this one? Thanks in advance

I am almost done squaring a circle, but I need to know how to multiply two lines togather. Does anyone know how to???

I was reading this book called, A History of Classical Physics, which is a good book. It talked about the Greeks studying conic sections, which used to be studied as shadows. You use a circular ring and use a flashlight. I can see how lines, circles, ellipses, and parabolas could be made, but I can't make an hyperbola. Can someone explain how to make an hyperbola using a flashlight and a circular ring?

cos(A+B)=cosAcosB-sinAsinB bcos(A+B)=bcosAcosB-asin^2B You can use the triangle that i've drawn in the attachment with this thread. attachment.doc

Does P(A|B) = 1 - P(A|B')?

Do you know how to draw true isometric vectors in paper? How?

can someone give me a explernation of when to use the form [math]\sigma^2 = \frac{\sum(x-\mu)^2}{n}[/math] and when to use [math]s^2 = \frac{\sum(x-\bar{x})^2}{n-1}[/math]

Is the line from the centre of a circle to the midpoint of chord AB always perpendicular to AB?

In 1980 a river was restocked with fish. The local angling club kept a record of the number of fish, y caught on a stretch of the river t years after restocking. Some of the records are given in the table below. t 1 2 3 4 5 7 10 12 y 185 170 172 166 164 159 162 157 The regression line y on x is y=177.28 -1.89t An alternative model is produced using the new variable x=1/t which gives the following SUM(x) = 2.6095 SUM(x^2) = 1.5010 SUM(y) = 1335 SUM(xy) = 453.6310 Caluculate the regression equation of y on x in the form y = a+bx ----- I got the equation y = 73+175x when using n=12 (as the max of t is 12) but the answer is …

If X has the distribution N(102.3,1.96), calculate P(X<100) Now to get the standard normal distribution it's (100 - mew)/sigma so should be (100-102.3)/SQRt(1.96) ... P(Z<-1.64) That is correct isn't it? It's just that the book as got an answer that indicates they've used 1.96 instead of SQRT(1.96), but 1.96 is sigma squared right? btw is there anyway to do all the mathematical symbol, list sqare root, sigma, mew etc.

Hi all I've come across this pic and have been trying to work out how this is possible? I dont know anything about geometry so i'm hoping that someone could explain this to me. Any info would be greatly apreciated. Cheers

How many sides does a shpere have? One or infinite? PS: how does a mobius band work??

A man draws one card at random from a complete pack of 52 cards, replaces it and then draws another card at random from the pack. Calculate the probibility that eaxactly one of the cards is a Queen. I evaluated P(Q n Q') = 1/13 * 12/13 (they are independant events) =12/169 The answer according to the book is 24/169 . Help!

What is the use in the geometric mean? I don't understand what it works out?

Heres a question for anyone to answer how many sides does a glome have?In this case an inside and an outside is not the answer.Since a glome has neither (or both at the same time)

hi, how can you tell if a situation follows a binomial distribution, for example, a coin, if a coin is tossed until 5 heads have appeared. then this follows a binmoial distribution as the prob is constant and also its independent. however, if we are considering number of cars passing along, until 7 red cars have gone past, then would this follow a binomial distribution? im confused on recognising a binomail distribution, can some one help me please. thanx.

I need to perform a paired t-test on the following data (i thinki, it might be unpaired???) the null hypothesis is "The size of the zone of inhibition caused the antibiotic is not influenced by the gram type of the bacteria". Any help plz plz! p.s. E.coli, and the two pseudomonas are gram negative and the rest are gram positive.

According to what I know, if you have a circular permutation, you divide by the number of objects in the arrangement if there is no clasp. You also divide by 2 if there are reflections. Suppose you had a bracelet of 2 types of charms. One kind of charm is for luck, the other for gift. There are 2 lucks and 2 gifts arranged on this bracelet. This bracelet can not have a luck next to another luck and a gift next to another gift. It's superstitious and will give you the opposite. So you have one way to arrange it L / \ G G \ / L But according to what I know, and what my book did, you should have (2! * 2!)/(2*4) The 2!'s come …

Out of interest, is anyone here involved in research, and if so, do you consider it de rigueur to run power analyses to calculate your sample sizes?

Why don't they use rectangular prisms for dice?

Lets say I have three values - 917, 914 and 913. Take an average I get 915 (approx). Now see how far each value is from the average... 917 - 915 = 2 915 - 914 = 1 915 - 913 = 2 (2+1+2)/3 = 2 (approx) so the value is (915 +/- 2) what is this method called?

How does something like: sin(A+B) become sinA cosB + coaA sinB ? Likewise with: cos(A-B) = cosA cosB + sinA sinB ooh..& this one: tan(A+B) = (tanA + tanB) / 1 + tanA tanB I just don't understand how you can expand them...I'm guessing there's no distributive property in this situations... Please reply ASAP. Thanks.

Check this out: http://www.npr.org/features/feature.php?wfId=1697475 Appearantly the coin falls more often on HEADS than on Tails. I just found that REALLY funny.. think of all the decisions people made by flipping a coin... :haha: