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3 years ago

What is the slope between the two points? (6,8 ) and (-3, 8 )

Mathematics

2 answers:

Marta_Voda [28]3 years ago

5 0

Answer:

slope=0

Step-by-step explanation:

Slope (m) = ΔY /ΔX =0

ΔX = -3 – 6 = -9

ΔY = 8 – 8 = 0

Distance (d) = √ΔX2 + ΔY2 = √81 = 9

Equation of the line:

y = 0x + 8

When x=0, y = 8

kobusy [5.1K]3 years ago

3 0

The slope 6,0 from the two points
Hope this helped

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3 years ago

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Answer:

a. z=3.09. Yes, it can be concluded that the population mean is greater than 50.

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c. z=2.22. Yes, it can be concluded that the population mean is greater than 50.

Step-by-step explanation:

We have a hypothesis test for the mean, with the hypothesis:

$H_0: \mu\leq50\\\\H_a:\mu> 50$

The sample size is n=55 and the population standard deviation is 6.

The significance level is 0.05.

We can calculate the standard error as:

$\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{6}{\sqrt{55}}=0.809$

For a significance level of 0.05, the critical value for z is zc=1.644. If the test statistic is bigger than 1.644, the null hypothesis is rejected.

a. If the sample mean is M=52.5, the test statistic is:

$z=\dfrac{M-\mu}{\sigma_M}=\dfrac{52.5-50}{0.809}=\dfrac{2.5}{0.809}=3.09$

The null hypothesis is rejected, as z>zc and falls in the rejection region.

b. If the sample mean is M=51, the test statistic is:

$z=\dfrac{M-\mu}{\sigma_M}=\dfrac{51-50}{0.809}=\dfrac{1}{0.809}=1.24$

The null hypothesis failed to be rejected, as z<zc and falls in the acceptance region.

c. If the sample mean is M=51.8, the test statistic is:

$z=\dfrac{M-\mu}{\sigma_M}=\dfrac{51.8-50}{0.809}=\dfrac{1.8}{0.809}=2.22$

The null hypothesis is rejected, as z>zc and falls in the rejection region.

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