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nekit [7.7K]
2 years ago
6

Write the linear equation in slope-intercept form and simplify. -6x – 14y = -8

Mathematics
1 answer:
ioda2 years ago
6 0

Answer:

y = -3/7x  + 4/7

Step-by-step explanation:

-6x - 14y = -8

add the -6x to the other side

-14y = 6x - 8

divide by -14 on the other side

y = -6/14 + 8/14

simplify: y = -3/7x + 4/7

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Answer:

We accept H₀ we don´t have evidence of differences between the information from the sample and the population mean

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From data and excel (or any statistics calculator) we get:

X = 249,6 ml         and       s  1,26 ml

Sample mean and sample standard deviation respectively.

Population mean  μ₀  = 250 ml

We have a normal distribution but we dont know the standard deviation of the population. Furthermore we have a two tails test since we are finding if the sample give us evidence of differences ( in both senses ) when we compare them with the amount of water spec ( 250 ml )

Our test hypothesis are: null hypothesis       H₀    X = μ₀

Alternative Hypothesis                                 Hₐ     X ≠ μ₀

We also know that sample size is 8  therefore df  =  8 - 1   df = 7 , with this value and the fact that we are required to test at α = 0,05 ( two tails test)

t = 2,365

Then we evaluate our interval:

X ± t* (s/√n)   ⇒   249,6 ±  2,365 * ( 1,26/√8 )

 249,6 ±  2,365 * (1,26/2,83)  ⇒ 249,6 ±  2,365 *0,45

249,6 ± 1,052

P [ 250,652 ; 248,548]

Then the population mean 250 is inside the interval, therefore we must accept that the bottles have being  fill withing the spec. We accept H₀

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What is the value of x in the equation 4(2x + 14) = 0? (1 point)
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Answer:

4

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