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2 years ago

Need help ASAP DUE IN A COUPLE MINUTES ?!!!!

Mathematics

2 answers:

Georgia [21]2 years ago

8 0

Answer:

$\displaystyle {r}^{} = 6$

Step-by-step explanation:

remember that,

$\displaystyle V _{ \rm sphere} = \frac{4}{3} \pi {r}^{3}$

given that,

V=288π

thus substitute:

$\displaystyle \frac{4}{3} \pi {r}^{3} = 288\pi$

divide both sides by 4/3π:

$\displaystyle {r}^{3} = 216$

cubic root both sides:

$\displaystyle {r}^{} = 6$

and we are done!

Dmitry_Shevchenko [17]2 years ago

7 0

Answer:

r=6

.................

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

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

And we can find this probability using the complement rule:

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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 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:

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

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

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