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Julli [10]
3 years ago
14

A circle has been split into 8 sectors each of which can be colored as 4 different colors, and no consecutive sectors are colore

d the same. How many ways of coloring are possible?
Mathematics
1 answer:
Eva8 [605]3 years ago
3 0

Answer:

5832 ways

Step-by-step explanation:

Since the circle has 8 sectors and there is 4 colour,

Assuming the sectors are numbered 1 to 8,

Sector 1 : can be coloured with any of the 4 colour in 4 ways

Sector 2 can be coloured with any of the remaining 3 colours in 3 ways

Sector 3 in 3 ways without using the colour in sector 2

Sector 4 in 3 ways without using the colour in sector 3

Sector 5 in 3 ways without using the colour in sector 4

Sector 6 in 3 ways without using the colour in sector 5

Sector 7 in 3 ways without using the colour in sector 6

Sector 8 in 2 ways without using the colours in sector 1 and 7

Number of ways of colouring = 4*3*3*3*3*3*3*2 = 5832 ways

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Lilian has 42 feet of yarn. She wants to cut the yarn into 8 equal parts. How long will each part be?
GrogVix [38]

Answer:

A. Five and two eighths feet.

Step-by-step explanation:

42 (feet of yarn) ÷ 8 (equal parts) = 5.25 (feet of yarn that each part is)

5.25 =

5 \frac{1}{4}

or

5 \frac{2}{8}

because 1/4 = 2/8.

Hope this helps!

3 0
3 years ago
Read 2 more answers
Eitan is on a train heading west into the city while Dmitri is on a train on the adjacent track heading east, away from the city
siniylev [52]
The time when the two trains reach each other is 1.25 hours
The trains are 68.75 away from the city when they reach each other.
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3 years ago
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The brain volumes ?( cm cubed cm3?) of 20 brains have a mean of 1083.9 1083.9 cm cubed cm3 and a standard deviation of 122.2 122
Colt1911 [192]

Answer:

Range: (844.9,1333.7)

A brain volume of 1348.3 cm cubed can be considered significantly high.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 1083.9 cm cubed

Standard Deviation, σ = 122.2 cm cubed

Range rule thumb:

  • This rule state that the the range of data is four times the standard deviation of the data.

\text{Range} = 4\times \sigma = 4\times 122.2 = 488.8

Upper Limit:

\mu + 2\sigma = 1089.3 + 2(122.2) = 1333.7

Lower limit:

\mu - 2\sigma = 1089.3 - 2(122.2) = 844.9

Since, 1348.3 does not lie in the range (844.9,1333.7),  a brain volume of 1348.3 cm cubed can be considered significantly high.

6 0
3 years ago
The length of every chord in a circle is always greater than the length of a radius.
Anika [276]

Answer:

the answer would be false

8 0
2 years ago
Question 3 (1 point)
Rom4ik [11]

Answer:

y = 3x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3 , then

y = 3x + c ← is the partial equation

To find c substitute (2, 3) into the partial equation

3 = 6 + c ⇒ c = 3 - 6 = - 3

y = 3x - 3 ← equation of line

6 0
2 years ago
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