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Fed [463]
3 years ago
10

Substitute for x+2y=12 and x=y-12 PLEASE HELP !

Mathematics
2 answers:
yan [13]3 years ago
7 0

Answer:

x = -4, y = 8

Step-by-step explanation:

y - 12 + 2y = 12

=> 3y = 24

=> y = 8

x = 8 - 12

=> x = -4

34kurt3 years ago
5 0

Answer:

x = -4

y = 8

Step-by-step explanation:

We can substitute:

=> (y - 12) + 2y = 12

=> 3y - 12 = 12

=> 3y = 12 + 12

=> 3y = 24

=> y = 24/3

=> <u>y = 8</u>

Now we can substitute 8 in for y, in any of the equation given to find x:

=> x = (8) - 12

=> <u>x = -4</u>

Hope this helps!

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Which table of values matches the equation y=2x-3
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What are the possible answer??/

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valkas [14]

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$H_0: \mu_1 = \mu_2=\mu_3$

$H_1 :$ At least one mean is different form the others (claim)

We need to find the critical values.

We know k = 3 , N = 35, α = 0.05

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d.f.D = N - k

        = 35 - 3 = 32

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$\overline X_1 =50.5$           $\overline X_2 =50.07143$        $\overline X_3 =55.71429$

$s_1^2=19.96154$      $s_2^2=14.68681$         $s_3^2=36.57143$

The grand mean or the overall mean is(GM) :

$\overline X_{GM}=\frac{\sum \overline X}{N}$

         $=\frac{51+51+...+49+49}{35}$

        = 52.1714

The variance between the groups

$s_B^2=\frac{\sum n_i\left( \overline X_i - \overline X_{GM}\right)^2}{k-1}$

     $=\frac{\left[14(50.5-52.1714)^2+14(52.07143-52.1714)^2+7(55.71426-52.1714)^2\right]}{3-1}$

   $=\frac{127.1143}{2}$

   = 63.55714

The Variance within the groups

$s_W^2=\frac{\sum(n_i-1)s_i^2}{\sum(n_i-1)}$

    $=\frac{(14-1)19.96154+(14-1)14.68681+(7-1)36.57143}{(14-1)+(14-1)+(7-1)}$

   $=\frac{669.8571}{32}$

  = 20.93304

The F-test  statistics value is :

$F=\frac{s_B^2}{s_W^2}$

  $=\frac{63.55714}{20.93304}$

  = 3.036212

Now since the 3.036 < 3.295, we do not reject the null hypothesis.

So there is no sufficient evidence to support the claim that there is a difference among the means.

The ANOVA table is :

Source       Sum of squares    d.f    Mean square    F

Between    127.1143                 2      63.55714          3.036212

Within        669.8571             32      20.93304

Total           796.9714            34

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Lostsunrise [7]

Answer:

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Step-by-step explanation:

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