Recent content by Cade

Thanks, I did not see this listed in my lecture notes. I will look into this topic on Mathworld now.

Homework Statement Suppose that two events occur in an hour, and the probability is uniformly distributed. If the time that the first event occurs has the same distribution as the time that the second event occurs, and the two distributions are independent, what is the probability that the...

Oh, I see. Thanks for your help, I understand the problem now.

I meant, for songs 1-4, given that they are non-Beatles, does individual order within the set of non-Beatles matter?

How do you recognize that order is important in this problem? Could songs 1-4 not be any of the 90 non-Beatles song? Or, have I misunderstood the question, and is the question actually asking ways entire the playlist can be ordered that the first Beatles song is #5?

Homework Statement A particular iPod playlist contains 100 songs, 10 of which are by the Beatles. What is the probability that the first Beatles song heard is the fifth song played? Homework Equations Combinatorics: permutation, combinations. The Attempt at a Solution The number of desired...

Oh, I didn't realize the first part was the sum of a geometric series. Thanks for your help.

Interesting, thanks, how did you derive that?

How would I go about approaching this problem? Given the polynomial: x^100 - 3x + 2 = 0 Find the sum 1 + x + x^2 + ... + x^99 for each possible value of x.

I get the hang of those graphs, but I would feel more comfortable with practice. The other problem I have which I can't work is finding the resistivity p of a wire whose resistance R = (4pL)/(pi*d^2) Plot R on the y-axis and 1/(d^2) on the x-axis to get gradient = 4pL/pi, and then p =...

Great, thanks. I've done far better in more difficult subjects like multivariable calculus, but the lack of a proper instructor for physics has me making stupid mistakes these days. :frown: Would you happen to know of any online resource where I can practice graphical analysis of equations...

Thanks, I didn't know if that was possible. I have another question if you could please check: A force F is equal to k*x^n, where x is in centimeters. [k*x^n] = N [k]*(cm^n) = N [k] = N/(cm^n) The unit of k is N/(cm^n), is this correct?

Homework Statement I have an equation for motion: x(t) = x(0) + x(0) * k * t^{1.5} x is in meters and t is in seconds. I have to determine the unit of k. Homework Equations The Attempt at a Solution x(t) = x(0) + x(0) * k * t^{1.5} [x(t)] = meters Therefore, [x(0)] = meters...

Great, thank you for clarifying. That was very helpful.

I have that, I would just like to verify if my working and answer is correct. :smile: And, if I could find out if it is possible for there to be an even number of interference fringes in a central diffraction peak.