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2 years ago

Slope of (7, -2) and (2, -6)

Mathematics

2 answers:

GREYUIT [131]2 years ago

5 0

Answer:

$\boxed{\sf{m=\frac{4}{5}}}$

Step-by-step explanation:

In order to solve this problem, we will use the slope.

Slope:

$\sf\dfrac{Y_2-Y_1}{x_2-x_1}=\dfrac{rise}{run}$

y2=(-6)

y1=(-2)

x2=2

x1=7

Solve the problem by rewriting it down.

$\sf{\dfrac{(-6)-(-2)}{2-7} }=\dfrac{(-6)+2}{2-7}=\boxed{\dfrac{4}{5} }$

Therefore, the slope is 4/5.

I hope this helps! Feel free to correct me if I am wrong.

Stells [14]2 years ago

4 0

Answer:

it's -8/5 because you subtract y2 from y1 and x2 from x1

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago

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alisha [4.7K]

Answer:

The null hypothesis is $H_0: \mu \leq 10$

The alternative hypothesis is $H_1: \mu > 10$

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Step-by-step explanation:

Question a:

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At the null hypothesis, we test if the battery life is of 10 hours or less, than is:

$H_0: \mu \leq 10$

At the alternative hypothesis, we test if the battery life is of more than 10 hours, that is:

$H_1: \mu > 10$

b-1. Calculate the value of the test statistic.

The test statistic is:

We have the standard deviation for the sample, so the t-distribution is used to solve this question

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

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This means that $\mu = 10$

In order to test the claim, a researcher samples 45 units of the new phone and finds that the sample battery life averages 10.5 hours with a sample standard deviation of 1.8 hours.

This means that $n = 45, X = 10.5, s = 1.8$

Then

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{10.5 - 10}{\frac{1.8}{\sqrt{45}}}$

$t = 1.86$

The value of the test statistic is t = 1.86.

b-2. Find the p-value.

Testing if the mean is more than a value, so a right-tailed test.

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Stells [14]

I believe the answer would be 10,860 my friend :) good luck with your problem, and have a great day

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