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Eddi Din [679]
3 years ago
6

Count the number of strings of length 9 over the alphabet {a, b, c} subject to each of the following restrictions.

Mathematics
1 answer:
Andrew [12]3 years ago
6 0

Answer:

The solution and complete explanation for the above question and mentioned conditions is given below in the attached document. I hope my explanation will help you in understanding this particular question.

Step-by-step explanation:

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Write the expression as a power. 3^12 * 27
11Alexandr11 [23.1K]
<h3>Answer:  3^15</h3>

Work Shown:

3^12 * 27

3^12 * 3^3

3^(12+3)

3^15

I used the rule a^b*a^c = a^(b+c) on the third step.

3 0
3 years ago
the data represents the heights of fourteen basketball players, in inches. 69, 70, 72, 72, 74, 74, 74, 75, 76, 76, 76, 77, 77, 8
Daniel [21]
If you would like to know the interquartile range of the new set and the interquartile range of the original set, you can do this using the following steps:

<span>The interquartile range is the difference between the third and the first quartiles.

The original set: </span>69, 70, 72, 72, 74, 74, 74, 75, 76, 76, 76, 77, 77, 82
Lower quartile: 72
Upper quartile: 76.25
Interquartile range: upper quartile - lower quartile = 76.25 - 72 = <span>4.25
</span>
The new set: <span>70, 72, 72, 74, 74, 74, 75, 76, 76, 76, 77, 77
</span>Lower quartile: 72.5
Upper quartile: 76
Interquartile range: upper quartile - lower quartile = 76 - 72.5 = 3.5

The correct result would be: T<span>he interquartile range of the new set would be 3.5. The interquartile range of the original set would be more than the new set.</span>
6 0
3 years ago
Read 2 more answers
(x−5) ^2 in expanded
Licemer1 [7]

Answer:

x^{2}-10x+25

Step-by-step explanation:

We can rewrite the question as (x-5)*(x-5).

Using the FOIL Method (First, Outside, Inside, Last):

x^{2}-5x-5x+25

This simplifies to x^{2}-10x+25

6 0
3 years ago
Read 2 more answers
The length of 2 sides of a triangle are 12 inches and 4 inches. Which is the third side?
Westkost [7]

Answer:

Let x = the third side

 

In a triangle, the sum of any 2 sides must be larger than the third side.

I believe this is called the triangle inequality theorem.

 

We can construct 3 inequalities to obtain the range of values for the third side.

 

  (Inequality #1)   12 + 4 > x

                                  16 > x

 

  (Inequality#2)    12 + x > 4

                                    x > -8   (we can discard this ... we know all sides will be positive)

 

  (Inequality #3)   4 + x > 12

                                   x > 8

 

So when we combine these together,  

 

   8 < x < 16

 

X (the third side) must be a number between 8 and 16. but not including 8 and 16

7 0
2 years ago
Claudia is going to buy a used car for $9,500. She can finance it at the car dealership at 11% interest for 3 years, or she can
Thepotemich [5.8K]

Answer:

i dont know sorry

Step-by-step explanation:

5 0
3 years ago
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