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3 years ago

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Please help Geometry problem

1 answer:

julsineya [31]3 years ago

6 0

$\bf A(\stackrel{x_1}{-5}~,~\stackrel{y_1}{1})\qquad B(\stackrel{x_2}{-2}~,~\stackrel{y_2}{5}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{5-1}{-2-(-5)}\implies \cfrac{4}{-2+5}\implies \cfrac{4}{3} \\\\[-0.35em] ~\dotfill\\\\ B(\stackrel{x_2}{-2}~,~\stackrel{y_2}{5})\qquad C(\stackrel{x_2}{5}~,~\stackrel{y_2}{3})$

$\bf slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{3-5}{5-(-2)}\implies \cfrac{-2}{5+2}\implies -\cfrac{2}{7} \\\\[-0.35em] ~\dotfill \\\\ C(\stackrel{x_2}{5}~,~\stackrel{y_2}{3})\qquad D(\stackrel{x_2}{2}~,~\stackrel{y_2}{-1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies\cfrac{-1-3}{2-5}\implies \cfrac{-4}{-3}\implies \cfrac{4}{3} \\\\[-0.35em] ~\dotfill$

$\bf A(\stackrel{x_1}{-5}~,~\stackrel{y_1}{1})\qquad D(\stackrel{x_2}{2}~,~\stackrel{y_2}{-1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies\cfrac{-1-1}{2-(-5)}\implies \cfrac{-2}{2+5}\implies -\cfrac{2}{7}$

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Simplify the expression 1.8-0.2x equallys -1.6. Step by step plzzz I will give you 100 points

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1.8 - 1.8 - 0.2x = -1.6 - 1.8

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The blueprint of a rectangular house is 2.5 inches by 1.5 inches. If the scale is 1:20, what is the perimeter of the actual hous

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160

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Answer:

P(X is greater than 30) = 0.06

Step-by-step explanation:

Given that:

Sample proportion (p) = 0.5

Sample size = 30

The Binomial can be approximated to normal with:

$\mu = np = 50 \times 0.5 \\ \\ \mu= 25$

$\sigma = \sqrt{np(1-p) } \\ \\ \sigma = \sqrt{50 \times (0.5)(1-0.5) } \\ \\ \sigma = 3.536$

To find:

P(X> 30)

So far we are approximating a discrete Binomial distribution using the continuous normal distribution. 30 lies between 29.5 and 30.5

Normal distribution:

x = 30.5, $\mu$ = 25, $\sigma$ = 3.536

Using the z test statistics;

$z = \dfrac{x - \mu}{\sigma}$

$z = \dfrac{30.5 - 25}{3.536}$

$z = \dfrac{5.5}{3.536}$

z = 1.555

The p-value for P(X>30) = P(Z > 1.555)

The p-value for P(X>30) = 1 - P (Z< 1.555)

From the z tables;

P(X> 30) = 1 - 0.9400

Thus;

P(X is greater than 30) = 0.06

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3 years ago