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snow_tiger [21]
3 years ago
5

-x+ y = 12 x-2y=3 Please help

Mathematics
2 answers:
grigory [225]3 years ago
7 0

Answer:

x=-27, y=-15

Step-by-step explanation:

In the attached file

iren2701 [21]3 years ago
5 0
Y = 12 + x
x - 2(12 + x) = 3
x -24 -2x = 3
-x = 27
x = -27
y = -15
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Marizza181 [45]

Answer

test statistic t =  -2.27    

P-value p- value  =  0.0198

Step-by-step explanation:

From the question we are told that

     The  first  sample  size is  n_1  = 5

     The first  sample mean is  \= x_1  =  1.76 \ mm

     The first  standard is  s_1   =  0.55

     The second is sample \ size\ is\  n_2 =  11

     The second sample mean is  \= x_2   = 2.56

     The second standard deviation is  \sigma =  0.84

      The level of significance is \alpha  =  0.01

The  null hypothesis is H_o :  \mu_1 - \mu_2 = 0

The  alternative hypothesis is  H_a: \mu_1 - \mu_2 <  0

Generally the test statistics is mathematically represented as

           t =  \frac{ (\= x _1 - \= x_2) - ( \mu_1 - \mu_2)}{ \sqrt{\frac{s_1 ^2 }{ n_1 }  + \frac{s_1 ^2 }{ n_1 }  } }

=>        t =  \frac{ (1.76 - 2.56 ) - 0 }{ \sqrt{\frac{0.55^2 }{ 5 }  + \frac{0.84^2 }{11 }  } }

=>        t =  -2.27      

Generally degree of freedom is mathematically represented as

          df  = n_1 + n_2 - 2

=>       df  = 5 + 11 - 2

=>       df  = 14

From the student t distribution table the probability value to the left that corresponds to t =  -2.27  at a degree of freedom of  df  = 14 is  

        p- value  =  0.0198

           

         

6 0
3 years ago
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Answer:

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Step-by-step explanation:

The product of (x-3) and (x+7) is x² + 4x - 21

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open the bracket by multiplying

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