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Drupady [299]
3 years ago
7

Simplify: (x − 7)(6x − 3)

Mathematics
1 answer:
dolphi86 [110]3 years ago
8 0

Answer:

-39x+21

Step-by-step explanation:

F: 6x

O: -3x

I: -42x

L: 21

6x-3x-42x+21= -39x+21

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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

 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

4 0
3 years ago
Your teacher is choosing 2 students to run an errand for her. There are 12 girls and 10 boys in the class. What is the probabili
Ne4ueva [31]

Answer:

2/7

Step-by-step explanation:

There are 22 (12 + 10) total students in the class. That means that the chance of the first student picked being a girl is 12/22.

Now, we must calculate the chance of the next student to be picked <em>also </em>being a girl - however, there is a trap here! Remember that since a girl has been picked, the total student pool has decreased to 21 and and the total number of girls has decreased to 11. This means the new chance of girl being picked is 11/21.

To find the probability of both these events happening in conjunction, these fractions must be multiplied. 12/22 * 11/21 = 132/462, which simplifies to 2/7.

4 0
3 years ago
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What is the solution to f(x)=g(x) ? Select each correct answer.
ludmilkaskok [199]
Check the picture below

5 0
3 years ago
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What is 57/6 simplified?
ludmilkaskok [199]
Answer:
19/2
Step-by-step explanation :
U divide the numerator and the denominator by the same number which is 3
57 divided by 3 = 19
6 divid by 3 = 2
So the answer is 19/2
3 0
2 years ago
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List the positive factors of 23
inysia [295]

The whole-number factors of  23  are  1  and  23 .


6 0
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