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2 years ago

Do all horizontal lines have the same slope

Mathematics

2 answers:

DENIUS [597]2 years ago

6 0

Yes, all horizontal lines have the same slope of 0, as it has no change in the y-positions.

zavuch27 [327]2 years ago

3 0

Answer: Yes

Step-by-step explanation: For any horizontal or flat line, the slope will always be the same which simplify to 0.

Let's look at an example which I have provided in the first image attached. I have labeled two points on the line and they are point A and point B.

To get from point A to point B along this line, our rise is 0 units and our run is 3 units so our slope or rise over run is 0/3. However, 0/3 can be simplified to 0. So for this line, our slope or <em>m</em> equals 0.

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Salaries of 49 college graduates who took a statistics course in college have a mean, x overbar, of $ 65 comma 300. Assuming a

Molodets [167]

Answer: $60,540< \mu$

Step-by-step explanation:

The confidence interval for population mean is given by :-

$\overline{x}-z^*\dfrac{\sigma}{\sqrt{n}}< \mu$

, where $\sigma$ = Population standard deviation.

n= sample size

$\overline{x}$ = Sample mean

z* = Critical z-value .

Given : $\sigma=\$17,000$

n= 49

$\overline{x}= \$65,300$

Two-tailed critical value for 95% confidence interval = $z^*=1.960$

Then, the 95% confidence interval would be :-

$65,300-(1.96)\dfrac{17000}{\sqrt{49}}< \mu$

$=65,300-(1.96)\dfrac{17000}{7}< \mu$

$=65,300-4760< \mu$

$=60,540< \mu$

Hence, the 95% confidence interval for estimating the population mean $(\mu)$ :

$60,540< \mu$

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