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3 years ago

Steven purchases a bowl. The diameter of the bowl is 14 cm. What is the circumference of the bowl?

Mathematics

1 answer:

9966 [12]3 years ago

7 0

The C of the bowl is 43.98 because C can be calculated like, C=pi×d
And pi is about 3.14, and 3.14×14 is about 43.98

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Step-by-step explanation:

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R = 25 cm = 0.25 m
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3 years ago

The weight of a package of mints is believed to be normally distributed with mean 21.37 grams and standard deviation 0.4, i.e. X

nasty-shy [4]

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And using a calculator, excel or the normal standard table we have that:

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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".

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Since the distribution for X is normal then we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

We can find the probability required with the following z score formula:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}
$

And replacing we got:

$P(21$

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$P(-1.85$

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