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3 years ago

What is a Graphic representation of association between variables

1 answer:

3 0

Such a graphical representation is called a scatterplot. A scatterplot shows the relationship between two quantitative variables measured for the same individuals. The values of one variable appear on the horizontal axis, and the values of the other variable appear on the vertical axis.

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Find the value of x in the figure below. Then give the measure of each interior angle and the measure of the

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Step-by-step explanation:

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2 years ago

Z^5=-243i, find the solution to the equation whose argument is strictly between 180 degrees and 270 degrees. Round your answer t

11Alexandr11 [23.1K]

Answer:

The solution is $z = -2.853 - i 0.927$ .

Step-by-step explanation:

Complex power is determined by means of the De Moivre's Theorem, whose expression is:

$z^{n} = r^{n} \cdot (\cos n\theta + i \sin n\theta)$

Where $r$ is the norm of the complex number. In this case, expression can be written as:

$-i 243 = 3^{5} \cdot (\cos 5\theta + i \sin 5\theta)$

The real component must be equal to zero and complex component must be equal to -1. That is to say:

$\cos 5\theta = 0$

$\sin 5\theta = -1$

Possible solutions for each component are, respectively:

Real component

$5\theta = \cos^{-1}0$

$5\theta = \frac{\pi}{2} \pm \pi\cdot j$ , $\forall j \in \mathbb{N}_{O}$

$\theta = \frac{\pi}{10} \pm \frac{\pi}{5} \cdot j$ , $\forall j \in \mathbb{N}_{O}$

Possible solutions: $\frac{11\pi}{10}$ , $\frac{13\pi}{10}$ , $\frac{3\pi}{2}$

Complex component

$5\theta = \sin^{-1}(-1)$

$5\theta = \frac{3\pi}{2} \pm 2\pi \cdot j$ , $\forall j \in \mathbb{N}_{O}$

$\theta = \frac{3\pi}{10} \pm \frac{2\pi}{5} \cdot j$ , $\forall j \in \mathbb{N}_{O}$

Possible solutions: $\frac{11\pi}{10}$ , $\frac{3\pi}{2}$

There is one solution whose argument is strictly between 180 degrees ( $\pi$ ) and 270 degrees ( $1.5\pi$ ).

$z = 3 \cdot \left( \cos \frac{11\pi}{10} + i \sin \frac{11\pi}{10} \right)$

$z = -2.853 - i 0.927$

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3 years ago

Find the slope of the line passing through the points (-7, 5) and (2,5).

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3 years ago

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What the perimeter of this

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D) 142 (i can't make the square root symbol)

/18 = 3/2
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4 years ago