Given $$A=\begin{pmatrix} 5 & 6 & 6-x & 8 \\ 2 & 2-x & 2 & 8 \\ 6 & 6 & 2 & 8 \\ 2 & 3 & 6 & 7 \end{pmatri...

Hello everyone we have exams tomorrow and i am practising vectors and i wanted some help here. Finding the area of the parallelogram spanned by vectors &l...

What is the distribution of the variable $X$ given $$ X = Y + Z, $$where $Y \sim $ Binomial($n$, $P_Y$) and $Z\sim$ Binomial($n$, $P_Z$)? For the special ...

I have having trouble understanding how to break this problem apart. I have an $ L$ shape with a rectangle in it. The smaller rectangle has a side of $5 m...

My question is about proving the conditional statement true in propositional logic or math. In proving conditionsal statements, a lot of proofs assume the...

I'm looking at my math textbook and it says for discrete distribution where the range is from a to b, $$f(x) = \frac{1}{b-a+1}$$ While for continuous...

In a "math structures" class at the community college I'm attending (uses the book Discrete Math by Epp, and is basically a discrete math "light" edi...

I have searched for it in Wikipedia and this site and I haven't found it yet. What I have found isn't complete enough -maybe a short list of ten...

Can we find the exact value(not numerical/approximation) of sin 1? I tried to do so by solving a cubic equation using Cardano formula but I ended up with ...

For some $x$, $\sqrt{x^2} = |x|$ However, for $x= -1$. $\sqrt{(-1)^2} = (-1^2)^{1/2} = (-1)^{2/2} = (-1)^1 = -1$ Isn't this paradoxical?