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Tomtit [17]
3 years ago
14

What is the equation of a line that passes through the points (0, 5) and (4, 8)?​

Mathematics
1 answer:
Andrew [12]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope - intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (4, 8)

m = \frac{8-5}{4-0} = \frac{3}{4}

Note the line crosses the y- axis at (0, 5) ⇒ c = 5

y = \frac{3}{4} x + 5 ← equation in slope- intercept form

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a) Null hypothesis:\mu \leq 120  

Alternative hypothesis:\mu > 120  

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Step-by-step explanation:

Information given

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n=80 sample size  

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t would represent the statistic    

p_v represent the p value f

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We want to verify if the shoppers participating in the loyalty program spent more on average than typical shoppers, the system of hypothesis would be:  

Null hypothesis:\mu \leq 120  

Alternative hypothesis:\mu > 120  

The statistic for this case would be given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

Replacing the info given we got:

t=\frac{130-120}{\frac{40}{\sqrt{80}}}=2.236  

The degrees of freedom are given by:

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The p value for this case taking in count the alternative hypothesis would be:

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