Solve the formula for the variable 1. f = 1/2(r 6.5)

Mathematics

1 answer:

Elina [12.6K]3 years ago

8 0

F = 1/2(r + 6.5)
2f = r + 6.5
r = 2f - 6.5

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2(x+3)^2=49 A. 1.95 and 7.95 B. -1.95 and -7.95 C.1.95 and -7.95 D.4 and -10

Deffense [45]

$2(x + 3)2 = 49$
A 1.95 and 7.95

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3 years ago

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 $\mu=600$

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andrezito [222]

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