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jekas [21]
3 years ago
12

What is the equation of the line that is parallel to the line y = 1/3x + 4 and passes through the point (6, 5)?

Mathematics
1 answer:
Gnom [1K]3 years ago
6 0
--------------------------------------------------
Find Slope
--------------------------------------------------
y = -1/3 x + 4                                      
Slope = -1/3                                       
Slope of the parallel line = -1/3          


--------------------------------------------------
Insert slope into y = mx + c
--------------------------------------------------
y = -1/3 x + c                                  

--------------------------------------------------
Find y-intercept
--------------------------------------------------
y = -1/3 x + c                                   
at point (6, 5)
5 = -1/3 (6) + c                                 
5 = - 2 + c                                         
c = 5 + 2                                         
c = 7

--------------------------------------------------
Insert y-intercept into y = -1/3x + c
--------------------------------------------------
y = -1/3 x + 7 

--------------------------------------------------
Answer: y = -1/3 x + 7 (Answer B)
-------------------------------------------------- 
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Answer:

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Step-by-step explanation:

From the question we are told that

    The population mean is  \mu  =  281

     The standard deviation is  \sigma  =  34.4

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percentage of the would you expect to have a score between 250 and 305 is mathematically represented as

      P(250 <  X <  305 ) =  P(\frac{ 250 - 281}{34.4 }  <  \frac{X - \mu }{\sigma }  < \frac{ 305 - 281}{34.4 }   )

Generally  

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

So  

         P(250 <  X <  305 ) =  P(-0.9012<  Z

       P(250 <  X <  305 ) = P(z_2 < 0.698 ) -  P(z_1 <  -0.9012)

From the z table  the value of  P( z_2 < 0.698) =  0.75741

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     P(250 <  X <  305 ) = 0.75741 - 0.18374

      P(250 <  X <  305 ) =  0.57

The  percentage is  P(250 <  X <  305 ) =  57\%

The  number of students that will get this score is

           N  = 2000 * 0.57

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