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balandron [24]
2 years ago
9

A spinner is divided into 12 equal parts. The probability of spinning an ""x"" is ¼. How many of the parts are labeled ""x""?

Mathematics
1 answer:
velikii [3]2 years ago
7 0

Answer:

3

Step-by-step explanation:

There is a 1/4 chance of landing on an x. If you multiply 4*3 you get 12 (The total amount of parts) but since you multiplied 4 by 3 you also have to multiply 1 by 3, so that would give you 3/12 meaning that 3 parts are labeled "x"

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The senior class want to play a practical joke on the principal, who was a former college basketball star. They want to fill his
steposvetlana [31]

The number of basketball that will fill up the entire office is <u>approximately 16,615.</u>

<em><u>Recall:</u></em>

Volume of a spherical shape = \frac{4}{3} \pi r^3

Volume of a rectangular prism = l \times w \times h

<em><u>Given:</u></em>

Diameter of basketball = 9.5 in.

Radius of the ball = 1/2 of 9.5 = 4.75 in.

Radius of the ball in ft = 0.4 ft (12 inches = 1 ft)

Dimension of the office (rectangular prism) = 20 ft by 18 ft by 12 ft

  • First, find the volume of the basketball:

Volume of ball = \frac{4}{3} \pi r^3 = \frac{4}{3} \times \pi \times 4.75^3\\

Volume of basketball = 448.92 $ in^3

  • Convert to ft^3

1728 $ in.^3 = 1 $ ft^3

<em>Therefore,</em>

  • Volume of basketball = \frac{448.92}{1728} = 0.26 $ ft^3

  • Find the volume of the office (rectangular prism):

Volume of the office = 20 \times 18 \times 12 = 4,320 $ ft^3

  • Number of basket ball that will fill the office = Volume of office / volume of basketball

  • <em>Thus:</em>

Number of basket ball that will fill the office = \frac{4,320}{0.26} = 16,615

Therefore, it will take approximately <u>16,615 balls</u><u> to fill up the entire office</u>.

Learn more here:

brainly.com/question/16098833

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Answer 38.6

Step-by-step explanation:

21 x .84 = 17.64

17.64 + 21 = 38.64

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