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kotegsom [21]
4 years ago
5

1. Write the solution set in interval notation: 3x-2 > x-4 or 7x-5 < 3x+3

Mathematics
2 answers:
chubhunter [2.5K]4 years ago
8 0
3x-2>x-4 \hbox{ or } 7x-5x-4 \\&#10;3x-x>-4+2 \\&#10;2x>-2 \\&#10;x>\frac{-2}{2} \\&#10;x>-1 \\ \\&#10;7x-5
Yakvenalex [24]4 years ago
5 0
3x-2>x-4\ \ | subtract\ x\ \ \ \ \textbf{or}\ \ \ \ 7x-5-4\ \ | add\ 2\ \ \ \ \ \textbf{or}\ \ \ \ 4x-5-2\ \ \ \ \  \textbf{or}\ \ \ \ \ 4x-1\ \ \ \ or\ \ \ \ x
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X2 - xy (if x = 8 and y = -3)
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Step-by-step explanation:

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Pleas awnser at least one
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question no.1

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153 of the 258 high school students surveyed at a local school said they went outside more during school hours as elementary sch
Juli2301 [7.4K]

<u>Answer-</u>

<em>It </em><em>is reasonable</em><em> that the state education department claims the percentage for the entire state is 63%.</em>

<u>Solution-</u>

153 out of the 258 high school students surveyed at a local school said they went outside more during school hours as elementary school students than they do now as high school students.

Here,

x = 153,

n = 258,

Then,

\text{sample proportion}=p=\dfrac{153}{258}=0.5930=59.30\%

And,

\text{Margin Error}=2\times \sqrt{\dfrac{p(1-p)}{n}}

Putting the values,

\text{ME}=2\times \sqrt{\dfrac{(0.5930)(1-0.5930)}{258}}\\\\=2\times \sqrt{\dfrac{(0.5930)(0.407)}{258}}\\\\=2\times \sqrt{\dfrac{0.2414}{208}}\\\\=2\times 0.0341\\\\=0.0682\\\\=6.82\%

The interval would be,

=(59.30-6.82,\ 59.30+6.82)\\\\=(52.48,\ 66.12)

As population proportion p=63% lies in this interval, so it is reasonable.

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