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3 years ago

A number is chosen at random from 1 to 10 find the probability of selecting a multiple of 3

Mathematics

2 answers:

Andrew [12]3 years ago

4 0

a multiple of 3,3 6 and 9. since there are 10 options, you have a 3 in 10 of a chance of getting a multiple of 3

Alexxandr [17]3 years ago

3 0

The probability is 3/10. Reason being is that between 1 and 10, there are three numbers that are a multiple of 3. 3 6 and 9. since there are 10 options, you have a 3 in 10 chance of getting a multiple of 3

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A spherical balloon has a 34-in. diameter when it is fully inflated. Half of the air is let out of the balloon. Assume that the

jeka57 [31]

Answer:

a. 20,579.52 cubic inches

b.10,289.76 cubic inches.

c. 13.49 inches

Step-by-step explanation:

Hi, to answer this question we have to calculate the volume of a sphere:

Volume of a sphere: 4/3 π r³

Since diameter (d) = 2 radius (r)

Replacing with the value given:

34 =2r

34/2=r

r= 17 in

Back with the volume formula:

V = 4/3 π r³

V =4/3 π (17)³

V = 20,579.52 cubic inches

The volume of the half-inflated balloon is equal to the volume of the sphere divided by 2.

20,579.52/2 = 10,289.76 cubic inches.

To find the radius of the half-inflated balloon we have to apply again the volume formula and substitute v=10,289.76

10,289.76= 4/3 π r³

Solving for r

10,289.76/ (4/3 π)= r³

2,456.5 = r³

∛2,456.5 = r

r = 13.49 inches

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