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olga2289 [7]
2 years ago
9

I need help (Find the slope of the line through the given pair of points) (-7,-18),(4,4)

Mathematics
1 answer:
larisa [96]2 years ago
7 0

Answer:

2

Step-by-step explanation:

You can find slope using the slope equation :\frac{y2-y1}{x2-x1}

  • Plug in the two points : \frac{4-(-18)}{4-(-7)}
  • Calculate by adding the numbers: \frac{22}{11}
  • Reduce the fraction : 2

The slope is 2

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Step-by-step explanation:

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What are the values of x, y, and z ?
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Read 2 more answers
Researchers are interested if a school breakfast program leads to taller children. Assume that the population of all 5 year-old
DedPeter [7]

Answer:

39-1.96\frac{1}{\sqrt{25}}=38.608    

39+1.96\frac{1}{\sqrt{25}}=39.392    

So on this case the 95% confidence interval would be given by (38.608;39.392)    

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=39 represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma=1 represent the population standard deviation

n=25 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

The margin of error is given by:

ME= z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that z_{\alpha/2}=1.96

And replacing we got:

ME= 1.96 *\frac{1}{\sqrt{25}}= 0.392

Now we have everything in order to replace into formula (1):

39-1.96\frac{1}{\sqrt{25}}=38.608    

39+1.96\frac{1}{\sqrt{25}}=39.392    

So on this case the 95% confidence interval would be given by (38.608;39.392)    

7 0
3 years ago
One side of a triangle is 2 times the second side. The third side is 15 feet longer than the second side. The perimeter of a
ch4aika [34]

Answer:

16, 8, 23

Step-by-step explanation:

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4x+15=47

4x=32

x=8

2x=16

x+15=23

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3 years ago
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