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otez555 [7]
3 years ago
15

How many solutions does this equation have? 3y = –4 + 2y

Mathematics
2 answers:
Flura [38]3 years ago
8 0

Answer:

y=-4, one solution.

Step-by-step explanation:

3y=-4+2y

3y-2y=-4

y=-4

Akimi4 [234]3 years ago
4 0

Answer:

4

Step-by-step explanation:

3y - 4 + 2y

0 = 3y - 4 + 2y

4 + 0 = 3y - 2y

4 = y

y = 4

is this what you want ?

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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
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Answer:

Z=-2

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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

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