imire37

2022-08-17

Let x be a block vector with two vector elements, $x=(a,b)$ where a and b are vectors of size n and m, respectively.

Express $avg(x)$ in terms of $avg(a)$, $avg(b)$, m, and n.

Express $avg(x)$ in terms of $avg(a)$, $avg(b)$, m, and n.

Gauge Howard

Beginner2022-08-18Added 19 answers

By $\text{avg}(x)$, I presume you mean the mean of the elements of x. If so, then

$\text{avg}(x)=\frac{1}{n+m}\sum _{i=1}^{n+m}{x}_{i}=\frac{1}{n+m}(\sum _{i=1}^{n}{a}_{i}+\sum _{j=1}^{m}{b}_{j})=\frac{1}{n+m}(n\text{avg}(a)+m\text{avg}(b)).$

$\text{avg}(x)=\frac{1}{n+m}\sum _{i=1}^{n+m}{x}_{i}=\frac{1}{n+m}(\sum _{i=1}^{n}{a}_{i}+\sum _{j=1}^{m}{b}_{j})=\frac{1}{n+m}(n\text{avg}(a)+m\text{avg}(b)).$

Describe all solutions of Ax=0 in parametric vector form, where A is row equivalent to the given matrix

$$\left[\begin{array}{cccc}1& 3& 0& -4\\ 2& 6& 0& -8\end{array}\right]$$ Find, correct to the nearest degree, the three angles of the triangle with the given vertices

A(1, 0, -1), B(3, -2, 0), C(1, 3, 3)Whether f is a function from Z to R if

?

a) $f\left(n\right)=\pm n$.

b) $f\left(n\right)=\sqrt{{n}^{2}+1}$.

c) $f\left(n\right)=\frac{1}{{n}^{2}-4}$.How to write the expression ${6}^{\frac{3}{2}}$ in radical form?

How to evaluate $\mathrm{sin}\left(\frac{-5\pi}{4}\right)$?

What is the derivative of ${\mathrm{cot}}^{2}x$ ?

How to verify the identity: $\frac{\mathrm{cos}\left(x\right)-\mathrm{cos}\left(y\right)}{\mathrm{sin}\left(x\right)+\mathrm{sin}\left(y\right)}+\frac{\mathrm{sin}\left(x\right)-\mathrm{sin}\left(y\right)}{\mathrm{cos}\left(x\right)+\mathrm{cos}\left(y\right)}=0$?

Find $\mathrm{tan}\left(22.{5}^{\circ}\right)$ using the half-angle formula.

How to find the exact values of $\mathrm{cos}22.5\xb0$ using the half-angle formula?

How to express the complex number in trigonometric form: 5-5i?

The solution set of $\mathrm{tan}\theta =3\mathrm{cot}\theta $ is

How to find the angle between the vector and $x-$axis?

Find the probability of getting 5 Mondays in the month of february in a leap year.

How to find the inflection points for the given function $f\left(x\right)={x}^{3}-3{x}^{2}+6x$?

How do I find the value of sec(3pi/4)?