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3 years ago

15

Calculate the slope m, if defined, of the straight line through the given pair of points. Try to do the problem without writing

anything down except the answer. (If an answer is undefined, enter UNDEFINED.) (10, −5.5) and (0, −1.5)

1 answer:

shepuryov [24]3 years ago

8 0

(10,-5.5)(0,-1.5)
slope = (-1.5 - (-5.5) / (0 - 10) = -4/10 which reduces to - 2/5

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Afina-wow [57]

Answer:

Angle measure KRQ is 146 degrees

Step-by-step explanation:

Here, we want to find the measure of the indicated angle

From what we have in the question;

angle measure KRQ is corresponding to angle measure KNM

Mathematically, when two angles are corresponding to each other, their values are equal

What this means is that the value of the measure of KRQ is 146 degrees too

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3 years ago

An engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation is 1.6

nexus9112 [7]

Answer:

n=1705

Step-by-step explanation:

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".

Assuming the X follows a normal distribution

$X \sim N(\mu, \sigma=1.6)$

And the distribution for $\bar X$ is:

$\bar X \sim N(\mu, \frac{1.6}{\sqrt{n}})$

We know that the margin of error for a confidence interval is given by:

$Me=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The next step would be find the value of $\z_{\alpha/2}$ , $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$

Using the normal standard table, excel or a calculator we see that:

$z_{\alpha/2}=\pm 2.58$

If we solve for n from formula (1) we got:

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

$n=(\frac{z_{\alpha/2} \sigma}{Me})^2$

And we have everything to replace into the formula:

$n=(\frac{2.58(1.6)}{0.1})^2 =1704.03$

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D. When you do the math, the results to everything should be t=9. D is the only outlier. Therefore, D is the answer in this case.

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4 years ago

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part B)

f(x) = 10 + 20x

so if you rent the bike for a few hours that is

1 hr.............................10 + 20(1)

2 hrs..........................10 + 20(2)

3 hrs..........................10 + 20(3)

so the cost is really some fixed 10 + 20 bucks per hour, usually the 10 bucks is for some paperwork fee, so you go to the bike shop, and they'd say, ok is 10 bucks to set up a membership and 20 bucks per hour for using it, thereabouts.

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f(100), the cost of renting the bike for 100 hours.

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The answer is (B) hope it helps

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