# College math questions and answers

Recent questions in Post Secondary
Thomas Hubbard 2022-05-24 Answered

### What is the mean, median, and mode of 1, 4, 5, 6, 10, 25?

Cara Duke 2022-05-24 Answered

### Why are measures of central tendency essential to descriptive statistics?

Mauricio Hayden 2022-05-24 Answered

### Let $\mathcal{g}$ be a Lie algebra and let $a,b,c\in \mathcal{g}$ be such that $ab=ba$ and $\left[a,b\right]=c\ne 0$. Let . How to prove that $\mathcal{h}$ is isomorphic to the strictly upper triangular algebra $\mathcal{n}\left(3,F\right)$?Problem: If $\mathcal{h}\cong n\left(3,F\right)$ then $\mathrm{\exists }{a}^{\prime },{b}^{\prime },{c}^{\prime }\in \mathcal{n}\left(3,F\right)$ with ${a}^{\prime }{b}^{\prime }={b}^{\prime }{a}^{\prime }$ and $\left[{a}^{\prime },{b}^{\prime }\right]={c}^{\prime }$ as in $h$ But then ${c}^{\prime }$ must equal $0$ whereas $c\in h$ is not $0$?

Nylah Burnett 2022-05-24 Answered

### Let $R$ be a commutative finite dimensional $K$-algebra over a field $K$ (for example the monoid ring of a a finite monoid over a field). Assume we have $R$ in GAP. Then we can check whether $R$ is semisimple using the command RadicalOfAlgebra(R). When the value is 0, $R$ is semisimple. Thus $R$ can be written as a finite product of finite field extensions of $K$.Question: Can we obtain those finite field extensions of $K$ or at least their number and $K$-dimensions using GAP?

Thomas Hubbard 2022-05-24 Answered

### What is the Z-score for a 10% confidence level (i.e. 0.1 pvalue)?I want the standard answer used for including in my thesis write up. I googled and used excel to calculate as well but they are all slightly different.Thanks.

Nerya Fozailov 2022-05-23

### Find the limit of:$\underset{x\to \frac{\pi }{3}}{lim}\frac{1-2\mathrm{cos}x}{\pi -3x}$

Landyn Jimenez 2022-05-23 Answered

### How to approach this discrete graph question about Trees.A tree contains exactly one vertex of degree d, for each $d\in \left\{3,9,10,11,12\right\}$.Every other vertex has degrees 1 and 2. How many vertices have degree 1?I've only tried manually drawing this tree and trying to figure it out that way, however this makes the drawing far too big to complete , I'm sure there are more efficient methods of finding the solution.Could someone please point me in the right direction!

Hailey Newton 2022-05-23 Answered

### Representing a sentence with quantified statementsMy approach to this question: $\mathrm{\exists }x\left(P\left(x\right)\to R\left(x\right)\right)$I cannot verify if my answer is correct, any help to verify my answer would be appreciated and if I did wrong any help to explain why would also be appreciated.

Wayne Steele 2022-05-23 Answered