You pick 4 marbles from a bag of 5 red and 5 blue, with no replacement. What is the probability of getting exactly 2 marbles of each color? I think it...

So I think I might be going about the chain rule in the wrong way. Currently this is how I do the chain rule: $ \frac {d}{dx} (x^2 + 4)^2 $ I would carry ...

I have this equation $$ 4y = y $$ If I divide by y in both sides I would get this: $$ 4 = 1$$ And this does not have sense. I know that the solution is 0 ...

I found this one $$\frac{(12+144+20)+\left(3 \cdot \sqrt{4}\right)}{7}+(5 \cdot 11)=9^2+0.$$ Which is : A dozen, a gross, and a score Plus three times the...

I have encountered a problem involving combinatorics: My solution to it was $(4\cdot3\cdot2)+(5\cdot3\cdot4)+(6\cdot5\cdot4)$. The textbooks solution to i...

Can someone help me show that the characteristics equation for a $2\times 2$ matrix, say $A$, can be written as: $$ \lambda^2 - \mathrm{tr}(A)\lambda + \d...

I am asked to find the volume below $z = x^2 - y^2$ and above $x^2+y^2 \leq 1$ in the $xy$-plane. My attempt goes as follows: Since $|x| \geq |y|$ for z t...

How do you find the quadratic coefficient a, b, and c, given some values of x and y? For example: Suppose we have f(0.1524)=0.9961 f(0.8258)=0.0782 f(0.53...

I am trying to understand entropy. From what I know we can get the entropy of a variable lets say X. What i dont understand is how to calculate the entrop...

It says here that there are four types of Euclidean plane isometries which I am going to list below: Reflections Translations Rotations Glide Reflections ...