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Mila [183]
3 years ago
7

Find the equation of the line that passes through the two points (5,-3) and (-5,2). Write your answer in standard form. Help me

I don’t know how to write this
Mathematics
1 answer:
lidiya [134]3 years ago
8 0

Answer:

x + 2y = -1

Step-by-step explanation:

First, we'll find the slope.

Slope = (2 - (-3)) / (-5 - 5) = 5 / -10 = -1/2

Since we know the slope and a point that belongs to the line, we can write this in point-slope form which will be:

y - 2 = -1/2(x - (-5))      *I used (-5, 2) but it doesn't matter which point you use

y = -1/2(x + 5) + 2

y = -1/2x - 1/2

Standard form:

1/2x + y = -1/2

x + 2y = -1

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Answer:

Check the explanation

Step-by-step explanation:

(a)

H0: Population mean = 8.46

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The test statistic (t) is given by the following expression -

{t=\frac{\overline{x}-\mu_0}{s/\sqrt{n}}}

We have calculated the sample mean (8.421) and sample standard deviation (0.0461). Therefore, the test statistic (t) will be -

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The left-sided critical value from t-distribution (two-tailed) is -2.01. Thus the test statistic falls in the rejection region and we reject the null hypothesis at 95% confidence level and conclude that the population mean is different from 8.46 inches.

(b)

There are the following four assumptions for a single sample t-test.

The observations are in ratio scale.

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There should not be any significant outliers in the sample observations.

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(c)

The first assumption is true as the data is in inches. The second assumption cannot be tested now. It will depend upon the situation and study design which we assume as correct in this case. The third assumption is checked by plotting a box plot and finding the outliers. The final assumption can be checked using the Anderson-Darling normality test.

Kindly check the graphical table in the attached images below.

(d)

The data is normal (the p-value of Anderson-Darling test in > 0.05). However, two points in the Box plot are outliers though not grossly different from the entire sample data set. So, we conclude that the assumptions are valid in this case for conducting the t-test.

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