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andrezito [222]
3 years ago
13

PLEASE HELP ASAP IM REALLY TRING TO FINISH A stick has a length of $5$ units. The stick is then broken at two points, chosen at

random. What is the probability that all three resulting pieces are longer than $1$ unit?

Mathematics
1 answer:
Fed [463]3 years ago
8 0

Answer:

0.16

Step-by-step explanation:

  • Length = 5 units
  • Number of broken sticks= 3
  • Equal lengths =  5 units/3

<u>See the picture attached for reference.</u>

As you see the best points are the green areas which covers 2 out of 5 zones.

<u>Since it is same for both broken points, the probability of  this is:</u>

  • 2/5*2/5 = 4/ 25 = 0.16

<u>Answer is</u> 0.16

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2 ft
sdas [7]

Answer:

88/7 ft = 12.6 ft (nearest tenth)

Step-by-step explanation:

Circumference of a circle = 2\pir

<u>Radius of inner circle</u>

Given:

  • circumference of inner circle = 22ft
  • \pi = 22/7

⇒ 22 = 2 x (22/7) x r

⇒ r = 3.5

So the radius of the inner circle is 3.5 ft

<u>Radius of outer circle</u>

If the distance between the inner circle and the outer circle is 2 ft, then the radius of the outer circle = 3.5 + 2 = 5.5

<u>Circumference of outer circle</u>

Therefore, circumference of outer circle:

=  2 x (22/7) x 5.5

= 242/7 ft

<u>Difference between circumferences</u>

Difference = outer circle circumference - inner circle circumference

                  = 242/7 - 22

                  = 88/7 ft

                  = 12.6 ft (nearest tenth)

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2 years ago
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Read 2 more answers
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