Subtract (x^2-5x+4)-(8x-9)

Mathematics

2 answers:

cluponka [151]3 years ago

6 0

Answer: x^2 - 13x + 13

Step-by-step explanation:

Sladkaya [172]3 years ago

4 0

Answer:

x^2-13x+13

Step-by-step explanation:

(x^2-5x+4)-(8x-9)=(x^2-5x+4)-8x+9

=x^2-5x-8x+4+9

=x^2-13x+13

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$P(X>69)=P(\frac{X-\mu}{\sigma}>\frac{69-\mu}{\sigma})=P(Z>\frac{69-75}{8})=P(Z>-0.75)$

And we can find this probability on this way:

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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 problm

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

$X \sim N(75,8)$