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Papessa [141]
3 years ago
10

What is the third quartile (Q3) of the data set? 171, 91, 111, 111, 158, 150, 146, 166, 86

Mathematics
2 answers:
Alinara [238K]3 years ago
4 0
The answer to that question is 158
bekas [8.4K]3 years ago
4 0
I got 162 on.... k12
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I NEED HELP REALLY BAD!
katen-ka-za [31]
<h2>Answer:</h2>

<u>The area is</u><u> 168 yd²</u>

<h2>Step-by-step explanation:</h2>

The area of Trapezoid is given by

A= (a+b)/2 * h

Putting the values

A = (5+23)/2 * 12

A = 168 yd²

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Answer:

120 = m  h = 2

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there are a total of 122 countries in Africa, Europe, and North America. Europe has twice as many countries as North America, an
lana66690 [7]
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8 0
3 years ago
Find the multiplicative inverse of 6 + 2i
Marina CMI [18]
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2774989

________________


Find the multiplicative inverse of

\mathsf{z=6+2i}

________


The inverse multiplicative of  \mathsf{z=a+bi}  is

\mathsf{\dfrac{1}{z}}\\\\\\&#10;=\mathsf{\dfrac{1}{a+bi}\qquad\quad(a\ne 0~~and~~b\ne 0)}\\\\\\&#10;=\mathsf{\dfrac{1}{a+bi}\cdot \dfrac{a-bi}{a-bi}}\\\\\\&#10;=\mathsf{\dfrac{1\cdot (a-bi)}{(a+bi)\cdot (a-bi)}}\\\\\\&#10;=\mathsf{\dfrac{a-bi}{a^2-\,\diagup\hspace{-10}abi+\,\diagup\hspace{-10}abi-(bi)^2}}

=\mathsf{\dfrac{a-bi}{a^2-b^2\cdot i^2}}\\\\\\&#10;=\mathsf{\dfrac{a-bi}{a^2-b^2\cdot (-1)}}\\\\\\&#10;=\mathsf{\dfrac{a-bi}{a^2+b^2}}\\\\\\\\&#10;\therefore~~\mathsf{\dfrac{1}{a+bi}=\dfrac{a}{a^2+b^2}-\dfrac{b}{a^2+b^2}\,i\qquad\quad\checkmark}

________


For this question,

\mathsf{z=6+2i}


So,

\mathsf{\dfrac{1}{z}}\\\\\\&#10;=\mathsf{\dfrac{1}{6+2i}}\\\\\\&#10;=\mathsf{\dfrac{6}{6^2+2^2}-\dfrac{2}{6^2+2^2}\,i}\\\\\\&#10;=\mathsf{\dfrac{6}{36+4}-\dfrac{2}{36+4}\,i}\\\\\\&#10;=\mathsf{\dfrac{6}{40}-\dfrac{2}{40}\,i}


\therefore~~\mathsf{\dfrac{1}{z}=\dfrac{3}{20}-\dfrac{1}{20}\,i}\quad\longleftarrow\quad\textsf{this is the answer.}


I hope this helps. =)

6 0
3 years ago
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