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vivado [14]
3 years ago
14

complete the ordered pair so it is a solution of. 3x+2y=36 , which one of these would it be (6,0) (6,9) 6,-9) or (6,6)?

Mathematics
1 answer:
ipn [44]3 years ago
4 0

Answer:

The answer is (6,9)

Step-by-step explanation:

We simply need to find two numbers that perfectly fits the equation. That is, 2 numbers in which when we substitute the value for x and y works perfectly.

First option is wrong.

3x + 2y = 36

Here, x = 6 and y = 0

Hence, 3(6) + 2(0) = 18 which is wrong.

3rd option is wrong

Here x = 6 and y = -9

3(6) + 2(-9) = 0

Last option is wrong

Here x = 6 and y = 6

3(6) + 2(6) = 18 + 12 = 30.

2nd option is correct

Here x =6 and y = 9

3(6) + 2(9) = 18 + 18 = 36

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Voltage sags and swells. The power quality of a transformer is measured by the quality of the voltage. Two causes of poor power
zysi [14]

Answer:

a

 z-score = 1.57

b

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Step-by-step explanation:

From the question we are told that

   The sample size is  n =  103  

    The  sample mean of  sag is  \= x_1 =  353

     The sample mean of swells is  \= x_2 =  184

    The standard deviation of  sag is  s_1  =  30

     The standard deviation of swells is  s_2  =  25

     The number of swell for a randomly selected transformer is  k  =  100

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Generally the z-score for the number of swells is mathematically represented as

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=>   z-score_s = \frac{ 100- 184}{25}

=>     z-score_s = -3.36

       

Generally the z-score for the number of sags is mathematically represented as    

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     z-score = \frac{ 400 - 353}{30}

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Basically, your n values are the x values.
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