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3 years ago

May anyone please help me with this math question

Mathematics

1 answer:

Alina [70]3 years ago

4 0

Answer:

x = 42

Step-by-step explanation:

You can set up an equation to solve for the missing variable. Divide 2/7 on both sides.

2/7(x) = 12

x = 42

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A set of bivariate data was used to create a least-squares regression line. Which of the following is minimized by the line? The

Akimi4 [234]

Answer:

The sum of the squared residuals

Step-by-step explanation:

If you sum the residuals, you would get 0

if you sum of the absolute values of the residuals you wouldn't be doing "least-squares regression"

The influence of outliers D The slope is another metric that has nothing to do in creating the regression line

8 0

4 years ago

Use the WeierstrassM-test to show that each of the following series converges uniformly on the given domain:

ryzh [129]

Answer:

Step-by-step explanation:

Given a series $\sum_{k=1}^\infty f(z)$ , the Weierstrass M-test tell us that if we find a sequence of positive numbers $M_n$ such that $|f(z)|\leq M_n$ in a certain domain D, and the series $\sum_{n=1}^\infty M_k$ converges, then the series $\sum_{k=1}^\infty f_k(z)$ converges uniformly in the domain D.

So, our objective is to find the so called sequence $M_k$ . The main idea is to bound the sequence of functions $\frac{z^k}{z^k + 1}$ .

Now, notice that the values of z are always positive, so $z^k$ is always positive, so $z^k+1\geq 1$ for all values of z in $\overline{D}$ . Then,

$\Big| \frac{z^k}{z^k + 1}\Big| \leq z^k,$

because if we make the values of the denominator smaller, the whole fraction becomes larger.

Moreover, as z is in the interval [0,r], we have that $z\leq r$ and as consequence $|z^k|\leq r^k$ . With this in addition to the previous bound we obtain

$\Big| \frac{z^k}{z^k + 1}\Big| \leq |z^k|\leq r^k.$

With this, our sequence is $M_k = r^k$ and the corresponding series is $\sum_{k=1}^\infty r^k$ , which is a geometric series with ratio less than 1, hence it is convergent.

Then, as consequence of Weierstrass M-test we have the uniform convergence of the series in the given domain.

6 0

3 years ago

Algebra help needed asap?!

Arisa [49]

$2^{25}\text{ million people on }2^{17}\text{ square miles}\\\\$

$\text{So on 1 square mile there are : }\dfrac{2^{25}}{2^{17}}=2^{25-17}=2^{12}\text{ milion people}$