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3 years ago

What is the range of Variable A for the cluster?

1 answer:

5 0

1. The range is the possible values for the y-coordinate in a relation or a set of data pairs.
The range is {nine, ten, eight, five, four, two}

2. If you plot the given points, then you'd see that that point
(three, nine) is far from the rest of the other points which makes it an outlier. Other methods can be used to determine whether or not the point is really and outlier. For now, a visual inspection is enough.

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0.0000056 rewritten as a single digit times a power of ten becomes:

Masteriza [31]

Answer:

5.6× 10^ -6

.......................

3 0

3 years ago

Find sinϴ and cosϴ if tanϴ=1/4 and sinϴ>0

eduard

If you're using the app, try seeing this answer through your browser: brainly.com/question/2787701

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$\mathsf{tan\,\theta=\dfrac{1}{4}\qquad\qquad(sin\,\theta\ \textgreater \ 0)}\\\\\\
\mathsf{\dfrac{sin\,\theta}{cos\,\theta}=\dfrac{1}{4}}\\\\\\
\mathsf{4\,sin\,\theta=cos\,\theta\qquad\quad(i)}$

Square both sides:

$\mathsf{(4\,sin\,\theta)^2=(cos\,\theta)^2}\\\\
\mathsf{4^2\,sin^2\,\theta=cos^2\,\theta}\\\\
\mathsf{16\,sin^2\,\theta=cos^2\,\theta\qquad\qquad(but,~cos^2\,\theta=1-sin^2\,\theta)}\\\\
\mathsf{16\,sin^2\,\theta=1-sin^2\,\theta}$

$\mathsf{16\,sin^2\,\theta+sin^2\,\theta=1}\\\\
\mathsf{17\,sin^2\,\theta=1}\\\\
\mathsf{sin^2\,\theta=\dfrac{1}{17}}\\\\\\
\mathsf{sin\,\theta=\pm\,\sqrt{\dfrac{1}{17}}}\\\\\\
\mathsf{sin\,\theta=\pm\,\dfrac{1}{\sqrt{17}}}$

Since $\mathsf{sin\,\theta}$ is positive, you can discard the negative sign. So,

$\mathsf{sin\,\theta=\dfrac{1}{\sqrt{17}}\qquad\quad\checkmark}$

Substitute this value back into $\mathsf{(i)}$ to find $\mathsf{cos\,\theta:}$

$\mathsf{4\cdot \dfrac{1}{\sqrt{17}}=cos\,\theta}\\\\\\
\mathsf{cos\,\theta=\dfrac{4}{\sqrt{17}}\qquad\quad\checkmark}$

I hope this helps. =)

Tags: trigonometric identity relation trig sine cosine tangent sin cos tan trigonometry precalculus

7 0

3 years ago

What is 3÷34 A. 2.25 B. 3 C. 4 D. 12

harina [27]

Answer:

I think it is 12

(D)

6 0

3 years ago

Read 2 more answers

What is the square root of 144

kramer

The square root of 144 is 12

6 0

3 years ago

Read 2 more answers

In rhombus ABCD, diagonals AC and BD meet at point E. If the measure of angle DAB is 46 degrees, find the length of EB.

slamgirl [31]

Answer:

EB ≈ 1.563 in

Step-by-step explanation:

The diagonals of a rhombus divide the figure into four congruent right triangles. Angle DAB is bisected by EA, so angle EAB is 46°/2 = 23°. EB is the side opposite, so the relevant trig relation is ...

Sin = Opposite/Hypotenuse

sin(EAB) = EB/AB

EB = (4 in)sin(23°) . . . . . . multiply by the hypotenuse

EB ≈ 1.563 in

3 0

2 years ago