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3 years ago

Write the equation of a line that is parallel to y=0.6x + 3 and that passes through the point (-3,-5)

Mathematics

1 answer:

Mkey [24]3 years ago

8 0

Answer:

$\large\boxed{y=0.6x-3.2}$

Step-by-step explanation:

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

We have

$y=0.6x+3$

Parallel lines have the same slope. Therefore we have the equation:

$y=0.6x+b$

The line passes through the point (-3, -5). Put the coordinates of the point to the equation and solve it for b:

$-5=0.6(-3)+b$

$-5=-1.8+b$ <em>add 1.8 to both sides</em>

$-3.2=b$

Finally we have:

$y=0.6x-3.2$

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Shalnov [3]

Answer:

$P(X>4)=P(\frac{X-\mu}{\sigma}>\frac{4-\mu}{\sigma})=P(Z>\frac{4-4.4}{0.4})=P(z>-1)$

And we can find this probability with the complement rule:

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

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 disagreements of a population, and for this case we know the distribution for X is given by:

$X \sim N(4.4,0.4)$

Where $\mu=4.4$ and $\sigma=0.4$

We are interested on this probability

$P(X>4)$

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:

$P(X>4)=P(\frac{X-\mu}{\sigma}>\frac{4-\mu}{\sigma})=P(Z>\frac{4-4.4}{0.4})=P(z>-1)$

And we can find this probability with the complement rule:

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

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3 years ago

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IRISSAK [1]

Answer:

We do not see the image

Step-by-step explanation:

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Answer:

x < -11/6.

Step-by-step explanation:

−12x + 13 > 35

-12x > 35 - 13

-12x > 22

Divide both sides by -12 and invert the inequality sign:

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x < -11/6.

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AURORKA [14]

The answer is C)
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vfiekz [6]

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