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3 years ago

What is the volume of this sphere?

Mathematics

2 answers:

Ivan3 years ago

8 0

Answer:

V = 562.5 π cm3

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/geometry-solids/sphere.php?given_data=radius&r=7.5&pi=3.1415926535898&units_length=cm&sf=0&given_data_last=radius&action=solve

adelina 88 [10]3 years ago

5 0

Answer:

The answer is D.

Step-by-step explanation:

V=4 /3πr^3=4/ 3·π·7.53≈1767.14587

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What are the coordinates of the center of the ellipse shown below?

photoshop1234 [79]

Answer:

Option D (7, -3)

Step-by-step explanation:

We know that the general equation of an ellipse has the form:

$\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} = 1$

Where the point (h, k) are the coordinates of the center of the ellipse

In this case the equation of the ellipse is:

$\frac{(x-7)^2}{4} + \frac{(y+3)^2}{16} = 1$

Then

$h=7\\\\k = -3$

So The coordinates of the center of the ellipse are (7, -3)

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3 years ago

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3 years ago

A medical researcher needs 37 people to test the effectiveness of an experimental drug. If 101 people have volunteered for the t

Rashid [163]

Answer:

The number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.

Step-by-step explanation:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

${n\choose k}=\frac{n!}{k!\cdot (n-k)!}$

Compute the number of ways to select 37 people from 101 as follows:

${101\choose 37}=\frac{101!}{37!\cdot (101-37)!}$

$=\frac{101!}{37!\times 64!}\\\\=\frac{101\times 100\times 99\times....64!}{37!\times 64!}\\\\=5397234129638871133346507775$

Thus, the number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.

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3 years ago

It has been reported that 48% of teenagers play video games on their phones. A random sample of 60 teenages is drawn. Find the p

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Answer:

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Step-by-step explanation:

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