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Illusion [34]
3 years ago
6

In a certain Algebra 2 class of 20 students, 12 of them play basketball and 13 of them play baseball. There are 3 students who p

lay neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?
Mathematics
1 answer:
boyakko [2]3 years ago
6 0

Answer:

85%

Step-by-step explanation:

1.  Divide 100 by the maximum amount of students to get the percent value for every student (5% per student)

2. Subtract the number of students you know plays neither sport, leaving you with 17 students.

3. Multiply the remaining students by the percent percent value. 17 * 5 = 85%

(This takes into account that some students are playing both sports.)

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Answer:

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The volume of three tennis balls is 42.42\ in^{3}

Step-by-step explanation:

Step 1

Find the volume of a single tennis ball

we know that

The volume of a sphere is equal to

V=\frac{4}{3}\pi r^{3}

where r is the radius of the sphere

In this problem

r=3/2=1.5\ in

substitute

V=\frac{4}{3}\pi (1.5)^{3}

V=14.14\ in^{3}

Step 2

Find the volume of the can

we know that

the volume of the cylinder is equal to

V=\pi r^{2} h

where r is the radius of the cylinder

h is the height of the cylinder

in this problem we have

r=3/2=1.5\ in

h=8.4\ in

substitute

V=\pi (1.5)^{2}(8.4)

V=59.38\ in^{3}

Statement

<u>case A)</u> The volume of a single tennis ball is 14.14\ in^{3}

The statement is true

See the procedure in Step 1

<u>case B)</u> The volume of the can is 56.55\ in^{3}

The statement is false

The volume of the can is 59.38\ in^{3} --> see the procedure Step 2

<u>case C)</u> The empty space inside the can is 14.13\ in^{3}

The statement is false

To find the empty space subtract the volume of three tennis ball from the volume of the can

59.38\ in^{3}-3*14.14\ in^{3}=16.96\ in^{3}

<u>case D)</u> The volume of three tennis balls is 42.42\ in^{3}

The statement is true

To find the volume of three tennis balls multiply the volume of a single tennis ball by three

14.14*3=42.42\ in^{3}

8 0
3 years ago
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