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Daniel [21]
3 years ago
9

Write an equation in -slope form and slope-intercept form for each line. Passes through (3,4) and (5,-4).

Mathematics
1 answer:
Nata [24]3 years ago
7 0

\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-4}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-4-4}{5-3}\implies \cfrac{-8}{2}\implies -4 \\\\\\ \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-4=-4(x-3) \\\\\\ y-4=-4x+12\implies y=-4x+16

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Answer:

Step-by-step explanation:

total price was reduced by $ 7

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7 0
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Step-by-step explanation:

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4 years ago
A new soft drink is being market tested. A sample of 400 individuals participated in the taste test and 80 indicated they like t
romanna [79]

Answer: p-value of the test  = 0.167

Step-by-step explanation:

Given that,

sample size n = 400

sample success X = 80

confidence = 95%

significance level = 1 - (95/100) = 0.05

This is the left tailed test .

The null and alternative hypothesis is

H₀ : p = 0.22

Hₐ : p < 0.22

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Standard deviation of proportion α = √{  (p ( 1 - p ) / n }

α = √ { ( 0.22 ( 1 - 0.22 ) / 400 }

α = √ { 0.1716 / 400 }

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Test statistic

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fail to reject null hypothesis.

P-value Approach

P-value = 0.167

As P-value >= 0.05, fail to reject null hypothesis.

Since test is left tailed so p-value of the test is 0.167. Since p-value is greater than 0.05 so we fail to reject the null hypothesis.

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Step-by-step explanation:

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Read 2 more answers
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