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EastWind [94]
2 years ago
9

Devon and Aimee are creating model volcanoes for their science project. Devon’s volcano has a radius of 3.5 inches, and a volume

of approximately 89.80 cubic inches. Aimee’s volcano has the same height as Devon’s, but the radius is twice the length of the radius of Devon’s volcano. Which of the following is closest to the volume of Aimee’s volcano?
Mathematics
1 answer:
3241004551 [841]2 years ago
8 0

Answer:

359.2 cubic inches

Step-by-step explanation:

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Wich calculation will ALWAYS have a result greater than 1​
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Step-by-step explanation:

number less than 1 B.4/9+ a fraction less than 12 C. 1 3/4 - a fraction less than 3/4 D.7/8 a number less than 1

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Can someone plz help me on mixed numbers plz
IRINA_888 [86]

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The answer 3/4

Step-by-step explanation:

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Answer:

V ≈ 16.333 in³

Step-by-step explanation:

Formula of the Volume of a Sphere: \frac{4}{3} \pi r^{2}

V = \frac{4}{3} × (3.5)²π

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8 0
3 years ago
Lenny bought a motorcycle. He paid 12.5% in tax. The tax added 1437.50 to the price of the motorcycle what was the price of the
just olya [345]

Answer:

Amount of motorcycle = $11,500

Step-by-step explanation:

Given:

Tax rate = 12.5 % = 0.125

Amount of tax = $1,437.50

Find:

Amount of motorcycle

Computation:

Amount of motorcycle = [Amount of tax ] / Tax rate

Amount of motorcycle = [1,437.50] / 0.125

Amount of motorcycle = $11,500

4 0
3 years ago
A real estate agent has 17 properties that she shows. She feels that there is a 50% chance of selling any one property during a
Likurg_2 [28]

Answer:

0.0011 = 0.11% probability of selling less than 3 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either they are sold, or they are not. The chance of selling any one property is independent of selling another property. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A real estate agent has 17 properties that she shows.

This means that n = 17

She feels that there is a 50% chance of selling any one property during a week.

This means that p = 0.5

Compute the probability of selling less than 3 properties in one week.

This is

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{17,0}.(0.5)^{0}.(0.5)^{17} \approx 0

P(X = 1) = C_{17,1}.(0.5)^{1}.(0.5)^{16} = 0.0001

P(X = 2) = C_{17,2}.(0.5)^{2}.(0.5)^{15} = 0.0010

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0.0001 + 0.0010 = 0.0011

0.0011 = 0.11% probability of selling less than 3 properties in one week.

5 0
3 years ago
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