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2 years ago

13

Find the A) slope B) Point Slope equation and C) Slope Intercept form of the line through points (9,18),(-4,14)

1 answer:

Lana71 [14]2 years ago

4 0

Answer:

Step-by-step explanation:

A) Use the slope formula to find the slope m.

m=4/13

B) Use the point-slope formula, y−y1=m(x−x1) to find the equation of the line.

y=4/13x+198/13

C) Write in slope-intercept form, y=mx+b.

y=4/13x+198/13

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Rachael got a 550 on the analytical portion of the Graduate Record Exam (GRE). If GRE scores are normally distributed and have m

valina [46]

Answer:

Z=-2

This value means that the score of Rachel 550 it's 2 deviations below the mean of the population $\mu=600$

Step-by-step explanation:

1) 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".

$\mu=600$ represent the population mean for the Graduate Record Exam (GRE)

$\sigma=25$ represent the population standard deviation for Graduate Record Exam (GRE)

2) Solution to the problem

Let X the random variable that represent the Graduate Record Exam (GRE) of a population, and for this case we know the distribution for X is given by:

$X \sim N(600,25)$

Where $\mu=600$ and $\sigma=25$

We want to find the z score for a score of 550. And in order to do this we need to apply the formula for the z score given by:

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

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

$z=\frac{550-600}{25}=-2$

So the answer for our case would be Z=-2

This value means that the score of Rachel 550 it's 2 deviations below the mean of the population $\mu=600$

7 0

3 years ago

Which set of ordered pairs belongs to a linear function?

masya89 [10]

Answer:

<u><em>Hi there the correct answer will be is B) (-1,5), (1, 3), (3, 1), (5,0)</em></u>

hope it helps to your question!

7 0

3 years ago

Please help me with this

ASHA 777 [7]

Answer:

trophospe we it's where planes and aircraft fly

6 0

2 years ago

Read 2 more answers

Please help!!As soon as possible!!

pychu [463]

Answer: Their equations have different y-intercept but the same slope

Step-by-step explanation:

Since, the slope of the line passes through the points (2002,p) and (2011,q) is,

$m_1 = \frac{q-p}{2011-2002} = \frac{q-p}{9}$

Similarly, the slope of the line asses through the points (2,p) and (11,q) is,

$m_2 = \frac{q-p}{11-2} = \frac{q-p}{9}$

Since, $m_1 = m_2$

Hence, both line have the same slope.

Now, the equation of the line one having slope $m_1$ and passes through the point (2002,p) is,

$y - p = \frac{q-p}{9}(x-2002)$

Put x = 0 in the above equation,

We get, $y = \frac{2000(p-q)}{9}+p$

The y-intercept of the line one is $(0, \frac{2000(p-q)}{9}+p)$

Also, the equation of second line having slope $m_2$ and passes through the point (2,p)

$y-p=\frac{q-p}{9}(x-2)$

Put x = 0 in the above equation,

We get, $y = \frac{2(p-q)}{9}+p$

The y-intercept of the line one is $(0, \frac{2(p-q)}{9}+p)$

Thus, both line have the different y-intercepts.

⇒ Third option is correct.

6 0

3 years ago

Solve for v: -4(v - 2) + 3 > -3(v + 9)

vitfil [10]

Answer:

-4v + 8 > -3v - 9

-v + 8 > -9

-v > -17

v < 17

7 0

2 years ago

Read 2 more answers