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Free_Kalibri [48]
1 year ago
7

Solve each system of equations 3x + 2y = 26 3x - 2y = 10 Ordered pair

Mathematics
1 answer:
MrMuchimi1 year ago
6 0

Let's solve the following system of equations

\begin{gathered} 3x+2y=26 \\ 3x-2y=10 \end{gathered}

Eq 1 + Eq 2

3x+2y+3x-2y=26+106x=36x=6

Now for y

y=\frac{26-3x}{2}y=\frac{26-3\cdot6}{2}y=\frac{8}{2}y=4

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I suggest you go to khan acadamey on youtube and look up this topic.


2: 23

3: B



hold on a sec i will keep answering but i wil post this part ill add the rest in the comments





 
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If a certain machine makes electrical resistors having a mean resistance of 40 ohms and a standard deviation of 2 ohms, what is
V125BC [204]

Answer:

The probability is  P(\= X  <  40.4) = 0.84134

Step-by-step explanation:

From the question we are told that

   The mean is  \mu =40 \ \Omega

   The standard deviation is  \sigma  = 2 \ \Omega

   The sample size is  n = 25

    The combined resistance is   \sum x_i = 1010 \ \Omega

Generally the sample mean is mathematically represented as

      \= x  = \frac{\sum x_i }{n}

=>   \= x  = \frac{1010 }{25}

=>   \= x  = 40.4 \ \Omega

Generally the standard error of the mean is mathematically represented as

     \sigma_{x} = \frac{\sigma }{\sqrt{n} }

=>  \sigma_{x} = \frac{ 2 }{\sqrt{25} }

=>  \sigma_{x} = 0.4

Generally the probability that a random sample of 25 of these resistors will have a combined resistance of less than 1010 ohms is mathematically represented as

       P(\= X  <  40.4) = P( \frac{\= X - \mu }{\sigma_{x }} <  \frac{ 40.4 - 40 }{0.4}  )

\frac{\= X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ \= X )

    P(\= X  <  40.4) = P( Z <  1 )

From the z table  the area under the normal curve to the left corresponding to  1 is

     P(\= X  <  40.4) = P( Z <  1 ) = 0.84134

     P(\= X  <  40.4) = 0.84134

3 0
3 years ago
What is the expasion of (2x + 3)^3 ?
Marianna [84]

Answer:

(2x + 3)3

Step-by-step explanation:

Simplify:  (2x+3)(3)

Answer: (2x + 3)3

<em><u>Hope this helps.</u></em>

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Is 4/3y=x a direct variation?
Masja [62]

Answer:

1 yes 2 no 3 no

Step-by-step explanation:

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