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3 years ago

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Mathematics

1 answer:

Artemon [7]3 years ago

7 0

Answer:

The inter-quartile range is 13.

Step-by-step explanation:

1. Order the data from least to greatest

2. Find the median of the data.

3. Calculate the median of both the lower and upper half of the data.

4. The inter-quartile range is the difference between the upper and lower medians.

Lower Median: 17

Media: 25.5

Upper Median: 30

<h2>Inter-quartile range: 30 - 17 = 13</h2>

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The radius of the large sphere is double the radius of the small sphere. How many times does the volume of the large sphere than

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Answer:

8 times larger.

Step-by-step explanation:

The radius of the large sphere is double the radius of the small sphere.

Question asked:

How many times does the volume of the large sphere than the small sphere

Solution:

<u>Let radius of the small sphere = </u> $x$ <u />

<u>As the radius of the large sphere is double the radius of the small sphere:</u>

Then, radius of the large sphere = $2x$

To find that how many times is the volume of the large sphere than the small sphere, we will <em><u>divide the volume of large sphere by volume of small sphere:-</u></em>

For smaller sphere: $Radius = x$

$Volume \ of \ sphere = \frac{4}{3} \pi r^{3}$

$=\frac{4}{3} \pi x^{3}$

For larger sphere: $Radius = 2x$

$Volume \ of \ sphere = \frac{4}{3} \pi r^{3}$

$=\frac{4}{3} \pi (2x)^{3}$

Now, we will divide volume of the larger by the smaller one:

$=\frac{4}{3} \pi (2x)^{3}\div\frac{4}{3} \times\frac{\pi }{1 } \times x^{3}\\ \\ =\frac{4}{3} \pi\times8x^{3} \times\frac{3}{4\pi }\ \times\frac{1}{x^{3} }$

$\frac{4}{3}\pi\ is \ canceled\ by\ \frac{3}{4\pi } \ and\ also\ x^{3} is\ canceled\ by \ \frac{1}{x^{3} }$

= $\frac{8}{1}$

Therefore, the volume of the large sphere is 8 times larger than the smaller sphere.

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3 years ago

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Answer:

33 and 19

Step-by-step explanation:

there are 33 numbers between one and one hundred divisible by 3 and 19 numbers divisible by 5

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Answer:

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Step-by-step explanation:

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2 years ago

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<h3>Explain why it is helpful to know the basic function shapes and discuss some ways to remember them. </h3>

Knowing the basic function shapes and discuss some ways to remember them is helpful because this is useful tools in the creation of mathematical models because we constantly make theories about the relationships between variables in nature and society. Functions in school mathematics are typically defined by an algebraic expression and have numerical inputs and outputs.

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Prove that x+1 is a factor of x^n+1 where n is an odd positive integer.

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3 years ago

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