Some students were surveyed about how much time they spent playing video games last week and their overal test average.

Mathematics

1 answer:

sashaice [31]2 years ago

4 0

A) The attachment shows the equation of the best-fit line. It is approximately
.. test average = 89.7 -2.93*(hours playing games)

b) The slope indicates the expected drop in test score for each hour spent playing games

c) The y-intercept is the expected test score if no hours are spent playing games.

d) The correlation coefficient is -0.92, a significant negative correlation. One might expect that hours spent playing games indicates a lack of interest in school subjects or studying, hence a likelihood that test scores will be lower.

e) The equation predicts a test score of about 75 for someone who spends 5 hours a week playing video games.

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$\bf \textit{linear velocity}\\\\
v=rw\quad 
\begin{cases}
r=radius\\
w=angular~speed\\
----------\\
v=32\frac{m}{sec}\\
w=100\frac{rev}{min}
\end{cases}\\\\
-------------------------------\\\\
\textit{let's convert \underline{w} to }\frac{radians}{sec}$

$\bf \cfrac{100~\underline{rev}}{\underline{min}}\cdot \cfrac{2\pi }{\underline{rev}}\cdot \cfrac{\underline{min}}{60~sec}\implies \cfrac{100\cdot 2\pi }{60~sec}\implies \cfrac{10\pi }{3~sec}\implies \cfrac{10\pi }{3}\frac{radians}{sec}\\\\
-------------------------------\\\\
v=rw\implies \cfrac{v}{w}=r\implies \cfrac{\frac{30~m}{sec}}{\frac{10\pi }{3~sec}}\implies r=\cfrac{30~m}{\underline{sec}}\cdot \cfrac{3~\underline{sec}}{10\pi }
\\\\\\
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15)

what is the radians per seconds "w" in revolutions per minute? just another conversion like in 13)

$\bf \cfrac{\underline{\pi} }{3~\underline{sec}}\cdot \cfrac{rev}{2\underline{\pi }}\cdot \cfrac{60~\underline{sec}}{min}\implies \cfrac{60 ~rev}{3\cdot 2 ~min}\implies \cfrac{60 ~rev}{6 ~min}\implies 10\frac{rev}{min}$

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