Mathematics - 18 December 2007

I have to fit a line through a number of points with the least squares method. I am looking for a relationship y = Ax + B. I have a fixed number of x's, but I can do my measurements at any x within a range xmin =< x =< xmax.

My question: Where should I do my measurements such that I get the most reliable fit? I am thinking about spreading the x's equally over the range or concentrating around xmin and xmax.

2007-12-18 08:30:39 · 2 answers · asked by Anonymous

A game is played similar to tennis as follows:

To win the game, a player must score at least 4 points with a margin of 2 or more points over his opponent. e.g. he can win 4-0, 4-1, 4-2, but not 4-3. If it's tied at 3-3, 4-4 or higher, then they keep playing indefinitely until one person gains a 2 point lead.

If the probability of me winning a point is p, calculate the probability that I will win the game.

2007-12-18 08:30:05 · 4 answers · asked by Dr D 7

Specifically, how can I show a sequence of polynomials doesn't converge uniformly on (0,1) to the function f(x) = sin(1/x)

2007-12-18 08:20:44 · 4 answers · asked by Anonymous

In the United States, a trillion is written as
1,000,000,000,000 - (twelve zeros)

whereas in most other countries, this number refers to a billion.
In those countries, 1,000,000,000,000,000,000 which is to us, a quintillion.

Can anyone explain why this is so?

2007-12-18 08:19:48 · 3 answers · asked by ♪ 4

So the question goes like this:
A TV camera at ground level is filming the liftoff of a space shuttle that is rising vertically according to the position eqn: s(t)=50t^2, where s is measured in feet and t is measured in seconds. The camera is 2000 feet from the launch pad.

Find the velocity of the space shuttle when it is 5000ft high.
[[I did this already, and I got 1000 ft/s. I know that it is right.]]

Find the rate of change in the angle of elevation of the camera when the space shuttle is 5000 ft. high.
[[I can't figure this one out for the life of me. I think it has something to do with inverse tangent, and with the previous anwser (1000 ft/sec).]]

So for the second part... is my answer of 2/29 right?

2007-12-18 08:14:42 · 3 answers · asked by hp_ddocd 1

Help?

2007-12-18 08:03:52 · 4 answers · asked by Vash ;D 1

I need the character that indicates the character can be both plus or minus.

2007-12-18 08:01:42 · 16 answers · asked by Ray Ray 2

At 7:00 a.m. Joe starts jogging at 6 mi/h. At 7:10 a.m. Ken starts off after him. How fast must Ken run to overtake Joe at 7:30 a.m.?

3 mi/h
or
5 mi/h
or
7 mi/h
or
9 mi/h

thanks

2007-12-18 07:56:37 · 1 answers · asked by Anonymous

Which variables can equal zero if it is true that:
(w/x) divided by (y/z) = (WZ)/(XY)

2007-12-18 07:56:29 · 2 answers · asked by Anonymous

I'm having serious troubles with these and have been working on them for some time. I'm mathtarded and have a major headache over these.

tanx ( sinx + cotx cosx) = secx
sin x (csc x - sin x ) = cos^2x
cos^2x + tan^2x + cos^2 x = 1
sec^2x + tan^2x sec^2x = sec^4 x


can anyone help me through these? :(

2007-12-18 07:49:16 · 5 answers · asked by ? 1

e.g. If 31hours 36 minutes is 31.60 expressed as a decimal (is that right?!), then what is 24hours 24minutes as a decimal? And what is 4hours 52minutes? A simple sum so I can work it out would be great!!

2007-12-18 07:48:16 · 7 answers · asked by Anonymous

list in order

2007-12-18 07:42:16 · 18 answers · asked by homie21 1

between jan1-june30

2007-12-18 07:39:08 · 6 answers · asked by Est.1992 6

John and Sam have to complete 5 home repair jobs this week. If John works by himself, he can do the repairs in 9 days. With Sam helping him, they completed them in 4 days. How long would it take Sam to complete the repairs alone?

2007-12-18 07:38:54 · 3 answers · asked by Anonymous

So the question goes like this:
A TV camera at ground level is filming the liftoff of a space shuttle that is rising vertically according to the position eqn: s(t)=50t^2, where s is measured in feet and t is measured in seconds. The camera is 2000 feet from the launch pad.

Find the velocity of the space shuttle when it is 5000ft high.
[[I did this already, and I got 1000 ft/s. I know that it is right.]]

Find the rate of change in the angle of elevation of the camera when the space shuttle is 5000 ft. high.
[[I can't figure this one out for the life of me. I think it has something to do with inverse tangent, and with the previous anwser (1000 ft/sec).]]

If you can solve this, you're my hero and a freaking genius!!

2007-12-18 07:33:28 · 5 answers · asked by hp_ddocd 1

9x^2-48x+64

2007-12-18 07:32:59 · 6 answers · asked by Anonymous

If you are visual, there are three right triangles, each with at least one variable. I'm supposed to find those variables.

I will start at the BOTTOM LEFT CORNER where the right triangle is, move up (giving the length of that line), then down the hypotenuse (giving the length), and across the bottom line, doing the same thing.

The angle given is between the hypotenuse and adjacent line (although the third triangle has no angle)

Please help!

1. Triangle 1 (45 Degrees):

Side 1: A

Side 2: 3 root(2)

Side 3: B

-------

Triangle 2 (30 Degrees):

Side 1: 5

Side 2 (H): C

Side 3: B


---------------

Triangle 3:

Side 1: 5

Side 2: 13

Side 3: B

2007-12-18 07:32:43 · 1 answers · asked by zenmaster4 2

T H I S
I S
_______
* F * *
* * U *
___________
* * N * *

2007-12-18 07:30:21 · 1 answers · asked by swapnil marothi 1

In triangle ABC, AN and BM are medians. If AC + BC = 24, then which is CM + CN?

http://i234.photobucket.com/albums/ee155/dramaqueen12572/triangle.jpg

2007-12-18 07:28:10 · 2 answers · asked by Anonymous

Factor 4x^2 - 20x + 25. Select the answer.

2x-5
(2x-5)^2
(2x+5)^2
2x+5
none of these

2007-12-18 07:25:23 · 4 answers · asked by Sam o 1

You can determine angles of a triangle if the ratios of the sides are given, such as in the format of A : B : C. right?

A*180/(A+B+C), B*180/(A+B+C), C*180/(A+B+C)

So let's say I've got a right triangle with the side lengths of 3, 4 and 5. I guess I have to convert these lengths to ratios. This is where I'm confused. Do I use side length 3 as the reference ratio to the other sides? Meaning 3/3, 4/3, and 5/3? But those don't work when I try to multiply the ratios back into angles because none of them equal to 90, which I know exists because its a right triangle.

2007-12-18 07:22:17 · 5 answers · asked by Anonymous

2007-12-18 07:21:35 · 3 answers · asked by aisha1230 3

5. The bottom and top of a box are rectangles twice as long as they are wide. Find the volume of the box if it is 4 ft high and has a total surface area of 220 ft^2. Which equation can you use to solve this problem?

4w^2 + 8w = 220

4w^2 –16w = 220

4w^2 + 24w = 220

4w^2 –24w = 220


PLEASE ANSWER

2007-12-18 07:16:24 · 3 answers · asked by Anonymous

1. 4x - 6 = x - 5

2. 4x - 8 = x + 3

2007-12-18 07:16:04 · 5 answers · asked by xx_illmakeyabelieve_xx 1

also 5/3x^3+8/3x^2-4/3x

x^5-4x^4-2x^3+4x^2+x

all in rational root theorum

2007-12-18 07:14:16 · 2 answers · asked by Anonymous

I am a complete idiot when it comes to math, my poor daughter needs some homework help - could someone please help? Pretty please?

2007-12-18 07:11:13 · 6 answers · asked by Anonymous

4 + 1?

2007-12-18 07:10:49 · 4 answers · asked by clavdivs 4

If I know the diameter of a circle, is it possible to find coordinates on it? For my project I have 10 points evenly on the circumference of a circle that I need to find out the coordinates (x,y) for. Is there a formula? Thanks!

2007-12-18 07:08:53 · 2 answers · asked by Drizzle 2

2007-12-18 07:04:28 · 13 answers · asked by Anonymous

2007-12-18 06:50:30 · 8 answers · asked by LIMMY 1