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3 years ago

What is the exact volume of the cylinder?

Mathematics

1 answer:

devlian [24]3 years ago

6 0

Answer:A cylinder is a simple geometric shape with two equally-sized and parallel circular bases. Calculating the volume of a cylinder is simple once you know the formula.

Step-by-step explanation:

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Leila received a $90 gift card for a coffee store. She used it in buying some coffee that cost $8.64 per pound. After buying the

klasskru [66]

She bought 5 pounds of coffee

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3 years ago

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Answer:

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The table shows information about some children.

Sindrei [870]

Answer:

$P(Age\ 12) = \frac{2}{3}$

Step-by-step explanation:

Given

Age 11 Age 12 Total

Girls 3 5 8

Boys 1 3 4

Required

$P(Age\ 12)$

The number of aged 12 children is:

$Age\ 12 = 5 + 3$

$Age\ 12 = 8$

The total number of children is:

$Total=8+4$

$Total = 12$

So, we have:

$P(Age\ 12) = \frac{Age\ 12}{Total}$

$P(Age\ 12) = \frac{8}{12}$

Simplify

$P(Age\ 12) = \frac{2}{3}$

3 0

3 years ago

A representative sample of a population of middle school students contains 45 boys and 25 girls. From this sample, 27 and 15 gir

lorasvet [3.4K]

$\frac{15}{70} = \frac{?}{350}$
$15 \times 350 \div 70 = 75$

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3 years ago

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A consumer survey indicates that the average household spendsμ= $185on groceries each week. The distribution of spending amounts

Vitek1552 [10]

Answer:

$P(X>200)=P(\frac{X-\mu}{\sigma}>\frac{200-\mu}{\sigma})=P(Z>\frac{200-185}{25})=P(Z>0.6)$

And we can find this probability using the complement rule and with the normal standard table or excel:

$P(Z>0.6)=1-P(z$

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 average household spent of a population, and for this case we know the distribution for X is given by:

$X \sim N(185,25)$

Where $\mu=185$ and $\sigma=25$

We are interested on this probability

$P(X>200)$

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:

$P(X>200)=P(\frac{X-\mu}{\sigma}>\frac{200-\mu}{\sigma})=P(Z>\frac{200-185}{25})=P(Z>0.6)$

And we can find this probability using the complement rule and with the normal standard table or excel:

$P(Z>0.6)=1-P(z$

7 0

3 years ago