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alexandr402 [8]
3 years ago
7

Determine value of k

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
3 0
72+k is equal to 180. So if you set up a equation if looks like:

72+k=180

Subtract 72 from both sides

K=108°

Your answer is 108°
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sveta [45]

Answer:

Step-by-step explanation:

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3 years ago
Consider a binary code with 5 bits (0 or 1) in each code word. An example of a code word is 01001. In each code word, a bit is z
AleksandrR [38]

Answer:

the probability that a code word contains exactly one zero is 0.0064 (0.64%)

Step-by-step explanation:

Since each bit is independent from the others , then the random variable X= number of 0 s in the code word follows a binomial distribution, where

p(X)= n!/((n-x)!*x!*p^x*(1-p)^(n-x)

where

n= number of independent bits=5

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then for x=1

p(1) = n*p*(1-p)^(n-1) = 5*0.8*0.2^4 = 0.0064 (0.64%)

therefore the probability that a code word contains exactly one zero is  0.0064 (0.64%)

3 0
3 years ago
Graph the line that has a slope of 1/8 and includes the point (0,4).
ruslelena [56]

Answer: i cant graph  but polt 0,4 on the y axis the go up 1 to the right 8

Step-by-step explanation:

5 0
3 years ago
What was the main difference between the French and British armies in the French and Indian War ​
Goryan [66]
The French had many alliances with the Indians and the British had more troops. The French has to deal with untrained troops.


Hope this helps :)
4 0
3 years ago
2x+3y=4
garri49 [273]

Answer:

Option D.

Step-by-step explanation:

we have

2x+3y=4 -----> equation A

2x-5y=-12  -----> equation B

Solve the system by elimination

Multiply both sides equation A by -1

-1(2x+3y)=-1(4)

-2x-3y=-4-----> equation C

Adds equation C and equation B

-2x-3y=-4\\2x-5y=-12\\------\\-3y-5y=-4-12\\-8y=-16\\y=2

<em>Find the value of x</em>

substitute the value of y in either equation

2x+3(2)=4\\2x+6=4\\2x=-2\\x=-1

The solution is the point (-1,2)

In this problem Option A,B and C are correct

The option D not result in a system with a pair of opposite terms

because

Multiply both sides of equation B by -3

-3(2x-5y)=-3(-12)

-6x+15y=36  -----> equation C

Multiply both sides of equation A by 55(2x+3y)=5(4)

10x+15y=20  ----> equation D

so

equation C and equation D not have a pair of opposite terms

5 0
3 years ago
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