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?
1 answer:
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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Answer:
88/7 ft = 12.6 ft (nearest tenth)
Step-by-step explanation:
Circumference of a circle = 2r
<u>Radius of inner circle</u>
Given:
- circumference of inner circle = 22ft
= 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)