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ipn [44]
3 years ago
11

Ava,Carter,Luke and their dad each mow a different section of their yard.Ava mow 1 /12 of the yard, Carter mow 2 /12 of the yard

,and Luke mows 4/12 of the yard.Their dad mows the rest of the yard.How much did his dad now
Mathematics
2 answers:
DanielleElmas [232]3 years ago
7 0
Since Ava mowed 1/12, Carter mowed 2/12, and Luke mowed 4/12 add that together and that equals 7/12. Subtract 7 from 12 and that equals 5. So therefore the dad mowed 5/12.
lubasha [3.4K]3 years ago
4 0
His dad mowed 5/12 of the yard
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5x - y + z = -6<br> 2x + 7y + 3z = 8<br> x + 2z = 6
BabaBlast [244]

Answer:

Step-by-step explanation:

The system of equations given are:

 

 5x - y + z = -6   ------------- i

 2x + 7y + 3z = 8  ---------- ii

  x + 2z = 6 ----------------- iii

Let us deal with equation i and ii first since they have 3 variables x, y and z;

      5x - y + z = -6                 x 7

       2x + 7y + 3z = 8            x 1

    35x  - 7y + 7z  = -42   ----  iv

      2x  + 7y + 3z  = 8       ---- v

Add equation iv and v;

    37x + 10z  = -34 ------vi

So, let us solve equation vi and iii:

               x + 2z = 6 - ---------- iii   x 10

               37x + 10z  = -34  --- iv  x 2

    10x + 20z   = 60         vi

     74x + 20z  = -68        vii

Subtract vi  - vii;

      -64x  = 128

          x  = -2

So;    put x  = -2 into iii;

           x + 2z  = 6

           -2 + 2z  = 6

            2z  = 6 + 2  = 8

           z  = 4

Put x  = -2 and z = 4 into equation i;

  5(-2) - y + 4  =  - 6

   -10 -y  +4  = -6

       -6  - y  = -6

             -y  = 0

              y  = 0

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3 years ago
One major reason that the two-sample t procedures are widely used is that they are quite robust. What does this mean? t procedur
Monica [59]

Answer:

Confidence levels and P-values from the t procedures are quite accurate even if the population distribution is not exactly Normal

Step-by-step explanation:

Confidence levels and P-values from the t procedures are quite accurate even if the population distribution is not exactly Normal

there is a general rule that depicts that T is okay to use when n >30. also when the sampling method for each sample is simple random sampling and samples are independent.

4 0
3 years ago
In circle N with m<br> See diagram below
Alex777 [14]

Answer:

113.10

Step-by-step explanation:

The area of a sector with measure \theta and radius r is given by A_{sec}=r^2\pi\cdot \frac{\theta}{360^{\circ}}.

What we're given:

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Substituting given values, we get:

A_{sec}=12^2\pi\cdot \frac{90}{360},\\\\A_{sec}=144\pi\cdot \frac{1}{4},\\\\A_{sec}\approx \boxed{113.10}

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Answer:

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