Math Forum / Mathematics / Undergraduate Math / November 2005

I am having trouble seeing what to do with this problem.
I am tring to find P(Y_bar - Mu <= 1)
Given that
sigma^2 = 16

Given a Fourier Series that converges to a continuous function on a
closed interval, how do I determine how many terms I need in order to
get to within a certain amount of accuracy? With power series, I know
that I can use the remainder estimation theorem.  Is their an

In order for me to find the average value of this particular integral, I need to integrate x/2x+3. For some reason I cannot figure out how to integrate x/2x+3

I'm struggling on some questions about probabilty.
I've got a table with Failure in days and frequency.
Failure (Days)   Frequency
12 to 14             1.00

I am teaching in a Oakland, CA where resources are scarce and the math backgrounds of most students are weak.  I am trying to find a suitable text or handbook to teach a geometry course without proofs.

Find the the values of x that match the equation 10^x=0,01(1000)10^(sqrt x)
Please post all the steps that brings you to the result, not just the result alone.

The question requires you to find all the real solutions for,
9 sinh(4 x) = 19 sinh(2 x)
I end up with a whole bunch of exps but have no idea how to progress any further. Any help would be greatly appreciated!

Can you prove the Base Angles Theorem without constucting a perpendicular bisector through the triangle?  My teacher only taught us how to do it that way, but I would like to know if there is another way.

Q: Show that if g is a primitive root of n, then the numbers:
         g, g^2, g^3, ... , g^[phi(n)]
form a reduced residue system (mod n).
Proof: Suppose g is a primitive root of n. By definition, (g,n) = 1 and

This seems simple enough but I have not been able to prove it.
If (a,15) = 1, show a^[phi(15)/2] = 1(mod 15).
Suppose (a,15) = 1. Then
                a^phi(15) = 1(mod 15)

I have been looking at and thinking about this problem for a few days now. I am just completely stumped. I know how to do optimization problems but I just do not know how to come up with a  formula to relate the variables for this problem. The problem is as follows:
The bottom of ...

Can anyone help with this ?
use the definitions of the hyperbolic function to prove that
(i) cosh 2x = cosh 2(squ)X + sinh 2(squ)X
(ii) cosh 2x = 2 cosh 2(squ)X-1

I have three questions
****If E is an event of sample space S, where n(E) is the number of equally likely outcomes of event E and n(S) is the number of equally outcomes of sample space S, then the probability of event E occurring can be found using the Theoretical Probability ...

What could a possible counter example be for the following claim? The identity operator on F^2 (where F can be either the real or complex vector space) has infinitely many self adjoint square roots.

Hello. I have a format problem when displaying results when operating with limits in matlab. Example:
% Polynom 105x^4 + 34,65x^3 + 3,031875x^2+0,028875x
p=[105 34.65 3.031875 0.028875 0]
r=roots(p)