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3 years ago

Given a cylinder with a radius of 6 cm and a height of 12 cm, find the volume of the cylinder. Use 3.14 for \pi

Mathematics

1 answer:

sergey [27]3 years ago

5 0

Answer:

$volume = \pi {r}^{2} h \\ = 3.14 \times {6}^{2} \times 12 \\ = 1356.48 \: {cm}^{3}$

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The owners of Shaving Ice are concerned that many of their customers are starting to purchase their icy treats from Cold as Ice

harkovskaia [24]

Answer:

The correct option is;

$4\pm 2.63}\sqrt{\frac{3.2^{2}}{100}+\frac{2.1^{2}}{100}}$

Step-by-step explanation:

Here we have the formula for the confidence interval of the difference of two means where the population standard deviation is unknown based on the sample mean and sample standard deviation is given as follows;

$\left (\bar{x}_{1}- \bar{x}_{2} \right )\pm t_{\alpha /2}\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}}}$

Where:

$\bar{x}_{1}$ = Mean of the first sample = 22 grams

$\bar{x}_{2}$ = Mean of the second sample = 18 grams

s₁ = Sample standard deviation of the first sample = 3.2 grams

s₂ = Sample standard deviation of the second sample = 2.1 grams

n₁ = Sample size of the first sample = 100

n₂ = Sample size of the second sample = 100

$t_{\alpha /2}$ = t value obtained from tables at 99% confidence level and 100 degrees of freedom = 2.626 = 2.63

Therefore, plugging in the values, we have;

$\left (22- 18 \right )\pm 2.63}\sqrt{\frac{3.2^{2}}{100}+\frac{2.1^{2}}{100}} = 4\pm 2.63}\sqrt{\frac{3.2^{2}}{100}+\frac{2.1^{2}}{100}}$

Therefore, the correct option is $4\pm 2.63}\sqrt{\frac{3.2^{2}}{100}+\frac{2.1^{2}}{100}}$ .

4 0

3 years ago

Write an equation in standard form for the line that contains the given pair of points.

wel

Answer:

x = 3

Step-by-step explanation:

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2 years ago

A ________ is a number that compares part of an object or a set with the whole object or set. What is the blank?

katovenus [111]

Answer:

Fraction

Step-by-step explanation:

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3 years ago

RS = 4x – 9, ST = 19, RT = 80 – 14 Equation: 82 – 14 RS RT

algol13

Step-by-step explanation:

The expressions are not properly written

Given

RS = 4x – 9

ST = 19

RT = 8x – 14

Based on the given parameters, the addition postulate below is true

RS+ST = RT

Substitute

4x-9+19 = 8x-14

collect like terms

4x-8x = -14-19+9

-4x = -33+9

-4x = -24

x = -24/-4

x = 6

Get RS:

RS = 4x-9

RS = 4(6)- 9

RS = 24-9

RS = 15

Get RT:

RT = 8x - 14

RT = 8(6)-14

RT = 48-14

RT = 34

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3 years ago

Select all sequences that are geometric.

Leto [7]

Answer:

A,C and E

Step-by-step explanation:

because Im the only one thats answered your question so you don't exactly have anything else to go off of

8 0

3 years ago