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Katyanochek1 [597]
3 years ago
7

Please Help Asap

Mathematics
1 answer:
sergejj [24]3 years ago
4 0

Answer:

The correct answer is B) y = 2x - 1

Step-by-step explanation:

To find this, first choose any two data points and find the slope. We'll use points (-2, -3) and (0, 1)

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

m = (1 - -3)/(0 - -2)

m = 4/2

m = 2

Now we use either point and the slope in point-slope form to get the equation.

y - y1 = m(x - x1)

y - 1 = 2(x - 0)

y - 1 = 2x

y = 2x + 1

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Answer:

P(X>400)=P(\frac{X-\mu}{\sigma}>\frac{400-\mu}{\sigma})=P(Z>\frac{400-440}{20})=P(z>-2)

And we can find this probability using the complement rule:

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And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

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Step-by-step explanation:

Previous concepts

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

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Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

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Where \mu=440 and \sigma=20

We are interested on this probability

P(X>440)

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If we apply this formula to our probability we got this:

P(X>400)=P(\frac{X-\mu}{\sigma}>\frac{400-\mu}{\sigma})=P(Z>\frac{400-440}{20})=P(z>-2)

And we can find this probability using the complement rule:

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And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(z>-2)=1-P(z

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