Ok, what I did was to draw out two tables. The first one is here:
1st Dice 1 2 3 4 5
2nd
1 2 3 4 5 6
2 3 4 5 6 7
3 4 5 6 7 8
4 5 6 7 8 9
5 6 7 8 9 10
If Y = X1 + X2
So...
Homework Statement
There is a 5-sided fair dice with faces showing 1, 2, 3, 4, 5 dots. The dice is rolled four times. Find the probability of getting a total score between 10 and 15 (inclusive).
Homework Equations
If X is the score from one roll, then it follows a discrete uniform...
Hi all,
just out of curiosity, how much sleep did you get in school (high school, college etc.)?
I'm a high school student from Singapore, and I average under 6 hours of sleep per day. But in my school, I get more sleep than probably about 80% of the student population. I know some who get...
Homework Statement
Let the random variable X represent the length of the side of a square. It has a uniform distribution over the interval (0, 5).
What is the cumulative distribution function for the area of the square, Y?
Homework Equations
F(x) = 0.2x (the cdf of the side).
The...
Yup I'm looking at that schematic, which is for a 6V battery.
Thanks Sciurus, I didn't think of that even though I have a few diodes lying around. So I guess instead of a Zener diode in reverse bias, I could just use (say 3) normal diodes in forward bias to get a 2.1V voltage drop, so the...
Hi,
I'm not sure if this is the right place to post this, but here goes.
I'm trying to build a battery indicator circuit for 2 AA batteries (3V). So far what I've read online is that I'd need to use a Zener diode to get a fixed voltage drop, then connect it to a transistor, like the...
Thanks ehild for pointing out my mistake :)
I seem to be making alot of careless mistakes on this problem.
So after correcting that cos in the denominator, I managed to get answers that sound reasonable, like 30 seconds. I think it should be right now.
Thanks for all the help! Really...
Ok I tried using Wolfram Alpha to do the numerical integration.
\frac{d\theta}{dt}=\frac{u \cos{\theta}}{r(\theta)} = \frac{u}{K}|\sec{\theta}+tan{\theta}|^{-\frac{v}{u}}
So can I just separate the variables and get dθ|sec(θ)+tan(θ)^(v/u) = u/K dt?
When I used Wolfram Alpha to perform the...
Yeah it is ugly, but I'm allowed to use numerical integration.
Oh yeah I made a mistake in the signs, all of them should have been negative in the original expression for the velocity.
So after integrating, I got r(θ) = K cos(θ)|sec(θ)+tan(θ)|^(v/u)
The particle starts at (d, 0), and I...
Yup u and v are constant.
Is this set of DE solvable?
Edit: After looking at another problem from this forum, I think it would be possible to express it in terms of dr/dθ.
\frac{dr}{d\theta} = \frac{dr}{dt} \frac{1}{\frac{d\theta}{dt}} = ur \tan{\theta} - \frac{vr}{u\cos{\theta}}
And this...