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yKpoI14uk [10]
4 years ago
8

will mark brainliest. PROMISE!! A stick has a length of $5$ units. The stick is then broken at two points, chosen at random. Wha

t is the probability that all three resulting pieces are longer than $1$ unit?

Mathematics
1 answer:
Dmitry [639]4 years ago
6 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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X/5 > -2

Multiply 5 on both sides:
x > -10

Draw a graph and draw a line for x > -10
(Look at the attachment below - where the green line is shown make it dotted)

Hope it helped :)

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10) The LCM of 6 and 12 is 12

Step-by-step explanation:

For the first question:

  1. 2\frac{1}{2}<2\frac{3}{4} ✅
  2. -1.25<-0.75 is correct as -0.75 is closer to zero meaning it is bigger ✅
  3. 1.75<-1/4 is incorrect as negative numbers are smaller than positive numbers ❎
  4. 1.75>0.5 ✅
  5. 2\frac{1}{2}>2\frac{3}{4} ❎
  6. -1.25>-1/4 is incorrect as they are equal

For the second equation:

Multiples of 6 are:

6,12,18...

Multiples of 12 are:

12,24,36...

So the lowest one in both is 12

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Answer:

Step-by-step explanation:

A box plot is the diagrammatic representation of the five number summary. It includes 5 items:

The minimum.

Q1 = the first quartile or the 25% mark.

The median.

Q3 = the third quartile or the 75% mark.

The maximum.

Rearranging the data in ascending order, it becomes

169, 163, 153, 166, 149, 148, 146, 145, 152, 163

145, 146, 148, 149, 152, 153, 163, 163, 166, 169

Minimum = 145

Maximum = 169

Median = (152 + 153)/2 = 152.5

The median divides the data into two equal halves. The middle of the lower halve is Q1 while the middle of the upper halve is Q3

Q1 = 148

Q3 = 163

The diagram of the box plot is shown in the attached photo

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