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Talja [164]
3 years ago
7

It is random outfit day. You have 3 tops: green, white, and yellow. You have 2 pairs of pants: blue and black. You have 2 pairs

of shoes: boots and sandals. What is the probability that you will wear a green shirt with blue pants and boots
Mathematics
1 answer:
emmainna [20.7K]3 years ago
5 0

Answer:

1/12

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to the number of total outcome.

Given  that you have 3 tops: green, white, and yellow, the probability of you wearing  a green shirt p(g)

= 1/3

since you have 2 pairs of pants: blue and black, the probability of you wearing a blue pant p(b)

= 1/2

And you have 2 pairs of shoes: boots and sandals, the probability of you wearing a pair of boots p(bo)

= 1/2

Hence the probability that you will wear a green shirt with blue pants and boots

= 1/3 * 1/2 * 1/2

= 1/12

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1.22%

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150 x 1.22 = 183

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A rectangle has a perimeter of 46 inches.The width of the rectangle is 7 inches.What is the length of the rectangle,in inches
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74 inches

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A museum worker randomly displays 5 historical writings in a row. What is the probability that the worker lines them up from the
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3 years ago
A series of three? separate, adjacent tunnels is constructed through a mountain. Its length is approximately 25 kilometers. Each
Nadya [2.5K]

Answer:

312.5\pi \text{ km}^3\approx 981.75\text{ km}^3

Step-by-step explanation:

We have been given that a series of 3 separate, adjacent tunnels is constructed through a mountain. Its length is approximately 25 kilometers.

Each of the three tunnels is shaped like a half-cylinder with a radius of 5 meters.

Since we know that volume of a semicircular or a half cylinder is half the volume of a circular cylinder.

\text{Volume of a semicircular cylinder}=\frac{\pi r^2h}{2}, where,

r = Radius of cylinder,

h = height of the cylinder.

Upon substituting our given values in volume formula we will get,

\text{Volume of a semicircular cylinder}=\frac{\pi (5\text{ km})^2*25\text{ km}}{2}

\text{Volume of a semicircular cylinder}=\frac{\pi*25\text{ km}^2*25\text{ km}}{2}

\text{Volume of a semicircular cylinder}=\frac{\pi*625\text{ km}^3}{2}

\text{Volume of a semicircular cylinder}=\pi*312.5\text{ km}^3

\text{Volume of a semicircular cylinder}=\pi*312.5\text{ km}^3

\text{Volume of a semicircular cylinder}=981.74770\text{ km}^3

Therefore, the volume of earth removed to build the three tunnels is 312.5\pi \text{ km}^3\approx 981.75\text{ km}^3.


4 0
3 years ago
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