What is the slope-intercept equation for this line? (0,1) ( 1, -2)

1 answer:

4 0

$(\stackrel{x_1}{0}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{0}}} \implies \cfrac{-2 -1}{1 +0} \implies \cfrac{ -3 }{ 1 }\implies -3$

$\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{-3}(x-\stackrel{x_1}{0}) \\\\\\ y-1=-3x\implies y=-3x+1$

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For males in a certain town, the systolic blood pressure is normally distributed with a

mario62 [17]

Answer:

99.7%

Step-by-step explanation:

According to the Empirical Rule:

68% of data in a normal distribution are ±1σ from the mean μ
95% of data in a normal distribution are ±2σ from the mean μ
99.7% of data in a normal distribution are ±3σ from the mean μ

By calculating the z-score of each observed value, we can determine how many standard deviations these observed values are from the mean:

$\displaystyle Z=\frac{\text{Observed Value}-\text{Mean of the Sample}}{\text{Standard Deviation of the Sample}}\\\\Z=\frac{99-120}{7}\\ \\Z=\frac{-21}{7}\\\\Z=-3$

$\displaystyle Z=\frac{\text{Observed Value}-\text{Mean of the Sample}}{\text{Standard Deviation of the Sample}}\\\\Z=\frac{141-120}{7}\\ \\Z=\frac{21}{7}\\\\Z=3$