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3 years ago

Which of the following correctly isolates the constant for the polynomial: x2 – 12x + 27

Mathematics

1 answer:

Andru [333]3 years ago

5 0

Answer:

x^2 - 12x = -27

Step-by-step explanation:

Here, we want to isolate the constant for the polynomial

To do this, we start by setting the expression to zero

Afterwards, we can bring the constant term over the equal to sign, giving a change in sign value

Mathematically, we have this as;

x^2 - 12x + 27 = 0

x^2 - 12x = -27

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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

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Answer:

$z-score = 1.57$

$z-score_s = -3.36$

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

The number of sag for a randomly selected transformer is c = 400

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

$z-score_s = \frac{ k - \= x_2}{s_2}$

=> $z-score_s = \frac{ 100- 184}{25}$

=> $z-score_s = -3.36$

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

$z-score = \frac{ c - \= x_1}{s_1}$

$z-score = \frac{ 400 - 353}{30}$

$z-score = 1.57$

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