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3 years ago

Simplifying radicals: √196s²

1 answer:

3 0

√196s² = √196 times √s²

s² is the square of 's'
196 is the square of 14
So both can easily come out of the radical.

√196s² = <u>14s</u>

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Answer:

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We are interested on this probability

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

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Step-by-step explanation:

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Solution to the problem

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

$X \sim N(114.8,13.1)$

Where $\mu=114.8$ and $\sigma=13.1$

We are interested on this probability

$P(X>140)$

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

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

If we apply this formula to our probability we got this: $P(X>140)=P(\frac{X-\mu}{\sigma}>\frac{140-\mu}{\sigma})=P(Z>\frac{140- 1114.8}{2.6})=P(z>1.924)$ And we can find this probability using the complement rule:

$P(z>1.924)=1-P(z$

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