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2 years ago

Find the slope of the line that passes through (2, 5) and (9, 1). Simplify.

Mathematics

1 answer:

ZanzabumX [31]2 years ago

5 0

Answer:

-4/7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(1-5)/(9-2)

m=-4/7

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Flow meters are installed in urban sewer systems to measure the flows through the pipes. In dry weatherconditions (no rain) the

ziro4ka [17]

Answer:

a) $\frac{(8)(30.23)^2}{20.09} \leq \sigma^2 \leq \frac{(8)(30.23)^2}{1.65}$

$363.90 \leq \sigma^2 \leq 4430.80$

Now we just take square root on both sides of the interval and we got:

$19.08 \leq \sigma \leq 66.56$

b) For this case we are 98% confidence that the true deviation for the population of interest is between 19.08 and 66.56

Step-by-step explanation:

423.6, 487.3, 453.2, 402.9, 483.0, 477.7, 442.3, 418.4, 459.0

Part a

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

On this case we need to find the sample standard deviation with the following formula:

$s=sqrt{\frac{\sum_{i=1}^8 (x_i -\bar x)^2}{n-1}}
And in order to find the sample mean we just need to use this formula:
[tex]\bar x =\frac{\sum_{i=1}^n x_i}{n}$

The sample deviation for this case is s=30.23

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=9-1=8$

The Confidence interval is 0.98 or 98%, the value of $\alpha=0.02$ and $\alpha/2 =0.01$ , and the critical values are:

$\chi^2_{\alpha/2}=20.09$

$\chi^2_{1- \alpha/2}=1.65$

And replacing into the formula for the interval we got:

$\frac{(8)(30.23)^2}{20.09} \leq \sigma^2 \leq \frac{(8)(30.23)^2}{1.65}$

$363.90 \leq \sigma^2 \leq 4430.80$

Now we just take square root on both sides of the interval and we got:

$19.08 \leq \sigma \leq 66.56$

Part b

For this case we are 98% confidence that the true deviation for the population of interest is between 19.08 and 66.56

4 0

3 years ago

Please help me please please help me

Lynna [10]

Answer:

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Step-by-step explanation:

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8 0

2 years ago

in the xy-plane the graph of y=x^2 and the circle with center (0,1) ad radius 3 have how many points of intersection?

IceJOKER [234]

I think this attachment will help you

7 0

3 years ago

Over a period of 12 hours, the temperature dropped 60 degrees. What was the average change in temperature in one hour?

dybincka [34]

The change in temperature for 1 hour would be -5. hope this helps.

7 0

2 years ago

Read 2 more answers

Elaine has a piece of wire that is 2.16 years long.mallory has a piece of wire that is 2.061 m long. Who’s piece of wire is long

Monica [59]

Answer:

First of all you spelled years instead of yards. But I'd say that Mallory has the longer piece of wire.

Step-by-step explanation:

Because of 2.16 yds over 1 times 1 meter over 3 yds. You divide them instead of multiplying, you get 1.97 meters.

3 0

3 years ago