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3 years ago

Find the output, g, when the input, r, is 3. g = -5r+13 g=_____

Mathematics

1 answer:

bija089 [108]3 years ago

5 0

Answer:

g = -2

Step-by-step explanation:

g = -5r + 13

r = 3

You substitute three for r in the equation.

--------------------------------------------------------------

g = -5(3) + 13

--------------------------------------------------------------

Distribute -5 to 3

--------------------------------------------------------------

g = -15 + 13

--------------------------------------------------------------

Solve

-------------------------------------------------------------

g = -15 + 13

-15 + 13 = -2

g = -2

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Answer:

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So then the probability that an individual present and IQ higher than 3 deviation from the mean is 0.00135

And if we find the number of individuals that can be considered as genius we got: 0.00135*1500=2.025

And we can say that the answer is a.2

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".

2) Solution to the problem

Let X the random variable that represent the IQ scores of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu=?,\sigma=?)$

We are interested on this probability

$P(X>X+3\mu)$

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

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

And we can find the following probablity:

$P(Z>3) = 1-P(Z$

So then the probability that an individual present and IQ higher than 3 deviation from the mean is 0.00135

And if we find the number of individuals that can be considered as genius we got: 0.00135*1500=2.025

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