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3 years ago

I need the answer to number 5 ASAP

Mathematics

1 answer:

Novosadov [1.4K]3 years ago

3 0

Answer:

78.5714286 cm²

Step-by-step explanation:

The equation for the area of a circle is πr².

You can work out the radius (r) by halving the value of the diameter, which is given as 10cm.

You then square this, so 5² = 25.

Finally, multiply this by pi which is given to you as 22/7.

(22/7) x 25

3.14285714286 x 25 = 78.5714285714, to be exact.

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Elena L [17]

Answer:

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

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For the case of Eddie we got:

$z= \frac{33.2-34.5}{1.3}= -1$

And for the case of Sue we got:

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So then for both cases we see that Eddie and Sue are 1 deviation below the true mean for each gender so then the best conclusion for this case would be:

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Step-by-step explanation:

We can define the random variable X as the head circumference for boys at birth and we know that the distribution for X is given by:

$X\sim N(\mu = 34.5, \sigma=1.3)$

Similarly we can define the random variable Y as the head circumference for boys at birth and we know that the distribution for Y is given by:

$Y\sim N(\mu = 33.9, \sigma=1.2)$

And we know that Eddie was born with 33.2 cm and Sue with 32.7 cm for the head circumference . Since we are interested to determine which child's head circumference is smaller relative to other children of the same sex, we can use the z score formula given by this formula:

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

This z score tell to us how many deviations we are below or above the mean for a given normal distribution.

For the case of Eddie we got:

$z= \frac{33.2-34.5}{1.3}= -1$

And for the case of Sue we got:

$z = \frac{32.7-33.9}{1.2}= -1$

So then for both cases we see that Eddie and Sue are 1 deviation below the true mean for each gender so then the best conclusion for this case would be:

C.They are the same size relative to other children of the same sex.

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