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3 years ago

Find the slope. ( include whether positive or negative.)

Mathematics

2 answers:

nignag [31]3 years ago

5 0

$\tt Step-by-step~explanation:$

Remember: To find the slope, we use the equation Rise/Run.

$\tt Step~1:$

Let's find the rise first. Rise = How many units it goes up/down We can count down 6 units from the origin. Our rise is - 6.

$\tt Step~2:$

To find the run. we count left/right. We could count 8 units. Our run is 8.

The slope is negative because it slopes downwards. If the slope is positive, then the line would be rising up.

$\tt Step~3:$

To find the slope, we use the formula rise/run.

$\tt \frac{-6}{8}=-\frac{3}{4}~or~ -0.75$

$\large\boxed{\tt Our~final~answer:~m=-\frac{3}{4}~or~-0.75;~Negative~slope}$

dsp733 years ago

3 0

Answer:

that is a negative slope

but dont know how to find the slope sorry

Step-by-step explanation:

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3 years ago

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4 years ago

Solve the following equation -6p+7=3(2p-3)-4(-10+4p)<br> a.p=6<br> b.p=5<br> c.p=7<br> d.p=12

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3 years ago

Assume that a simple random sample has been selected from a normally distributed population. State the hypotheses, find the test

BaLLatris [955]

Solution

Hypotheses:

- The population mean is 132. In order to test the claim that the mean is 132, we should check for if the mean is not 132.

- Thus, the Hypotheses are:

$\begin{gathered} H_0:\mu=132 \\ H_1:\mu\ne132 \end{gathered}$

Test statistic:

- The test statistic has to be a t-statistic because the sample size (n) is less than 30.

- The formula for finding the t-statistic is:

$\begin{gathered} t=\frac{\bar{X}-\mu}{\frac{s}{\sqrt{n}}} \\ \\ where, \\ \bar{X}=\text{ Sample mean} \\ \mu=\text{ Population mean} \\ s=\text{ Standard deviation} \\ n=\text{ Sample size} \end{gathered}$

- Applying the formula, we have:

$\begin{gathered} t=\frac{137-132}{\frac{14.2}{\sqrt{20}}} \\ \\ t=\frac{5}{3.1752} \\ \\ t\approx1.5747 \end{gathered}$

Critical value:

- The critical value t-critical, is gotten by reading off the t-distribution table.

- For this, we need the degrees of freedom (df) which is gotten by the formula:

$\begin{gathered} df=n-1 \\ df=20-1=19 \end{gathered}$

- And then we also use the significance level of 0.1 and the fact that it is a two-tailed test to trace out the t-critical. (Note: significance level of 0.1 implies 10% significance level)

- This is done below:

- The critical value is 1.729

P-value:

- To find the p-value, we simply check the table for where the t-statistic falls.

- The t-statistic given is 1.5747. We simply check which values this falls between in the t-distribution table. It falls between 1.328 and 1.729. We can simply choose a value between 0.1 and 0.05 and multiply the result by 2 since it is a two-tailed test.

- However, we can also use a t-distribution calculator, we have:

- Thus, the p-value is 0.13183

Final Conclusion:

- The p-value is 0.13183, and comparing this to the significance level of 0.1, we can see that 0.13183 is outside the rejection region.

- Thus, the result is not significant and we fail to reject the null hypothesis

7 0

1 year ago

Find the slope. ( include whether positive or negative.)​

Find the slope. ( include whether positive or negative.)