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Levart [38]
3 years ago
13

Write the equation of the line from the given information (-2,4) & (-3,5)

Mathematics
1 answer:
weeeeeb [17]3 years ago
6 0

Step 1: Find the slope

Slope Formula = (y2 - y1) / (x2 - x1)

Point 1 = (-2, 4)

Point 2 = (-3, 5)

slope = (5 - 4) / (-3 - - 2) = (5 - 4) / (-3 + 2) = (1) / (-1) = -1

Step 2: Find the y-intercept

To find the y-intercept, we will take one of the given points as well as the slope and plug them into slope-intercept form. Then, we will solve for b.

Slope-Intercept Form: y = mx + b

Point = (-2, 4)

Slope = -1

4 = -1(2) + b

4 = -2 + b

b = 6

Step 3: Put it all together

Now that we have the slope and the y-intercept, all that's left to do is plug it into slope-intercept form.

Slope-Intercept Form: y = mx + b

Slope = -1

Y-Intercept = 6

y = -x + 6

Hope this helps!! :)

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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:

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

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

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".  

Solution to the problem

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:

X \sim N(440,20)  

Where \mu=440 and \sigma=20

We are interested on this probability

P(X>440)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

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:

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

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

6 0
3 years ago
HELP!!!!!!!!!!!
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Your answer would be (b.) because -2+-3=-5

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