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3 years ago

Picture included!

Mathematics

2 answers:

irakobra [83]3 years ago

8 0

By looking at the point 1,1 and 0,3 you rise two and over one creating the ratio 2/1 which reduces down to 2
:D

Paul [167]3 years ago

8 0

So, notice in the picture, let's use those points of 0,3 and 1,1

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 0 &,& 3~) 
% (c,d)
&&(~ 1 &,& 1~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-3}{1-0}\implies \cfrac{-2}{1}\implies -2$

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3 years ago

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$\mathbb P\left(36\displaystyle\sum_{i=1}^{36}\frac{X_i}{36}>1000\right)=\mathbb P\left(\overline X>\dfrac{1000}{36}\right)$

Recall that if $X\sim\mathcal N(\mu,\sigma)$ , then the sampling distribution $\overline X=\displaystyle\sum_{i=1}^n\frac{X_i}n\sim\mathcal N\left(\mu,\dfrac\sigma{\sqrt n}\right)$ with $n$ being the size of the sample.

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3 years ago