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Murljashka [212]
3 years ago
12

Consider the three scatterplots labeled I, II, and III. Which set of data shows the greatest correlation coefficient?

Mathematics
1 answer:
lyudmila [28]3 years ago
8 0

Answer:

D) All three have the same correlation coefficient.

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Here's the question, please help!
nata0808 [166]

Answer:

None of these

Step-by-step explanation:

To convert the parametric curve into Cartesian form,
rewrite the equation for x to make \sin t the subject:

x=2\sin t

\implies \sin t=\dfrac{x}{2}

Substitute this into the given equation for y:

\begin{aligned}y & =3 \sin t\\\implies y & = 3 \left(\dfrac{x}{2}\right)\\y& = \dfrac{3}{2}x\end{aligned}

Therefore, the Cartesian form of the parametric curve is:

y=\dfrac{3}{2}x

<u>Further Information</u>

<u />

\dfrac{x^2}{2}+\dfrac{y^2}{3}=1 \quad \textsf{is the equation of a vertical ellipse}

\textsf{with center (0, 0), co-vertex }\sf \sqrt{2}, \textsf{ and vertex }\sqrt{3}

x^2+y^2=6 \quad \textsf{is the equation of a circle}

\textsf{with center (0, 0) and radius }\sf \sqrt{6}

3x^2+2y^2=1 \quad \textsf{is the equation of a vertical ellipse}

\textsf{with center (0, 0), co-vertex }\sf \dfrac{\sqrt{3}}{3}, \textsf{ and vertex }\dfrac{\sqrt{2}}{2}

6 0
2 years ago
Read 2 more answers
The area of a rectangle patio is 12-3/8 square meters. The width of the patio is 2-3/4 meters. What is the length?
Nitella [24]
Area=length x width
A=lw
A=12 3/8
l=x
w=2 3/4

first, make your mixed numbers into improper fractions
12 3/8 --> 99/8
2 3/4 --> 11/4

then, set equal denominators

99/8 and 22/8

99/8=22/8x --plug in values
99/22=x --divide both sides by 22/8

convert improper fraction to mixed number
99/22 --> 4 11/22 --> 4 1/2

therefore, the length is 4 1/2 meters
6 0
3 years ago
What is 9 kilometers per hour converted into feet per minute? about 45.7 feet per minute about 492 feet per minute about 29,520
zalisa [80]
About 492 feet per minute

9 • 54.68066 = 492.126

Rounding to the nearest whole number gets you 492
7 0
3 years ago
Read 2 more answers
Factor x^3 -7x^2 -5x+35 by grouping. what is the resulting expression
Anni [7]

Answer:

(x-7) (x^2-5)

Step-by-step explanation:

x^3 -7x^2 -5x+35

Make 2 groups

x^3 -7x^2      -5x+35

Factor x^2 from the first group and -5 from the second group

x^2 (x-7)       -5(x-7)

Now factor (x-7) out

(x-7) (x^2-5)

8 0
3 years ago
Simplify the expression -3(x+3)+4x
Korolek [52]

Answer:

x - 9

Step-by-step explanation:

In this case, "simplify" directs that you 1) carry out the indicated multiplication and 2) combine like terms.

-3(x+3)+4x = -3x - 9 + 4x = x - 9

8 0
3 years ago
Read 2 more answers
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