Times the probability that I picked out a normal coin.

Because this becomes a numerator, that's the denominator.

That's how we go from the numerator to the denominator.

This is the 31 8, and this is the 2 1 6.

And so on our original problem up here, we now know that b is equal to 3, c was equal to 4, and a is equal to 7.

I can take care of yours truly.

So that's what the five pies represent.

He is a trailblazer in this field.

So if I have a plus bi, where a is real and b is real, this is a complex number.

So you start off here.

This is your mess and you will clean it up! You're a god!

So one way to think about it is let's go between 0 and 1.

Nine plus three is twelve.

So the answer

We figured that out in the previous problem.

Let's make it this one let me change the color pink.

So how many 1 4ths we have it is 20 , 1 4ths in green

5 versus 5.

Because the part diameter is so large that the ring itself will block your cutting path

Now let's go to the y terms.

So this is Sal's share.

Remember the shares are split of the owner's equities not the split of the assets

So let me say out of this area I don't know this is 1 2.

And now we're ready to add.

And it's killing bacteria. It's eating them.

let's do six of them.

And so what did we get?

This is this.

0.5 is the square root of 0.25, 0.3536 is the square root over here, and the variance over here is approximately 0.16.

So, we want to rewrite all of these fractions with 180 in the denominator.

Plus the derivative of this with respect to x is easy, 2.

little bit more serious) OK, now let's factor out a k from this term right here (using a different color) let's factor out the k here.

And the probability of getting a two sided coin is 1 out of 10.

At 12 noon the bottle is full.

Take care of your own affairs yourself.

Well, if we just look at this one.

When we complete the square, we just take half of this coefficient.

Now I can look after myself.

They're independent events.

And then, the probability of the two sided coin we know already is 1 out of 10.

Arthur has a couple of minutes, we have about twenty.

So the probability of rolling doubles there are 6 possible ways of rolling doubles out of a possible 36 ways of actually rolling the dice.

What's the partial of this, with respect to x, just this part right here?

This is the x component of f, y component of f.

I want you to really understand why.