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3 years ago

Find the radius of sphere with a volume of 1372π/3 cubic feet.

Mathematics

1 answer:

Arisa [49]3 years ago

4 0

Answer:

The radius of the sphere is 7m

Step-by-step explanation:

Given

Volume of a sphere = 1372π/3 m³

Required

The radius.

The volume of a sphere is calculated using the following formula.

V = 4/3 πr³

Where V = volume of the sphere and r represents it's radius.

By substitution;

1372π/3 = 4/3 πr³

Multiply both sides by 3

1372π = 4πr³

Divide through by 4

343π = πr³

Divide through by π

343 = r³

Take cube root of both sides.

r = 7.

Hence, the radius of the sphere is 7m

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Simplify the expression:<br> 10s+–2s

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Answer:

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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Exponents
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Left to Right

<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

10s + -2s

<u>Step 2: Simplify</u>

Rewrite: 10s - 2s
Combine like terms: 8s

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A furniture store had a chair that cost $33. After a few months the owner owner took 9% off the price. How much is the chair now

yawa3891 [41]

Answer:

$30.03

Step-by-step explanation:

To find what 9% of 33 is we need to divide 9% by 1

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3 years ago

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butalik [34]

The sample at option B, {0, 2} is not a part of the sample space of a spinner when spun two times.

<h3>What is a sample space?</h3>

The set consists of all the possible outcomes of an event called sample points, which is said to be a sample space.

<h3>Calculation:</h3>

It is given that,

a spinner has 5 sections of equal area and each section is numbered from 1 to 5.

If the spinner is spun two times, then the possible outcomes are 25. They are:

{(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5)}

So, from the given options, the sample {0, 2} is not possible since there is no such a section on the spinner named 0.

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brainly.com/question/9773761

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1 year ago

In a batch of 8,000 clock radios 7% are defective. A sample of 1313 clock radios is randomly selected without replacement from

PIT_PIT [208]

Answer: Probability that the entire batch will be rejected is 0.611.

Step-by-step explanation:

Since we have given that

Number of clock radios in a batch = 8000

Probability of defective clock radio = 7%

According to question, we have mentioned that A sample of 13 clock radios is randomly selected without replacement from the 8,000 and tested.

We will use "Binomial distribution":

here, n = 13 and

p (probability of success) = 7% = 0.07

so, we need to find that

P(the entire batch will be rejected) = P(at least one of those test is defected)

So, it becomes,

P(at least one of those tested is defective) = 1 - P(none are defective)

So, P(none are defective ) is given by

$(1-0.07)^{13}\\\\=0.93^{13}\\\\=0.389$

So, P(at least one of those tested is defective) = 1 - P(none are defective)

= 1 - 0.389

= 0.611

Hence, Probability that the entire batch will be rejected is 0.611.

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3 years ago