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Vlad1618 [11]
3 years ago
10

−3x + 7y = −16 −9x + 5y = 16 slove this

Mathematics
1 answer:
Ahat [919]3 years ago
5 0


{-3x+7y=-16 ⇒ -3x=-16-7y    (↓)

{-9x+5y=16

The second equation:

-9x+5y=16

3*(-3x)+5y=16         <em>Substitute -3x    (↑)</em>

<em>3* </em>(-16-7y)+5y=16

-48-21y+5y=16      /+48

-16y=64      /:(-16)

y=-4

-3x=-16-7y

-3x=-16-7*(-4)=-16+28=12

-3x=12    /:(-3)

x=-4

<em /><em>Solution: (-4; -4)</em>



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As your testing H0:p=0.79, then you have a two-tailed test.

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\begin{gathered} p=P(Z\leq-z)+P(Z\ge z) \\ p=P(Z\leq-z)+(1-P(Z\leq z) \\ p=2P(Z\leq-z) \\ 0.79=2P(Z\leq-z) \\ P(Z\leq-z)=\frac{0.79}{2} \\ P(Z\leq-z)=0.395 \end{gathered}

Then, you need to check into the standard normal cumulative table to find at which -z you do have a probability of 0.395. Thus:

As you can see in the picture at z=-0.26 you have a P(Z<=-z)=0.3974

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The average of these values is:

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Then, you have a probability of 0.395 at a z of:

\frac{-0.26+(-0.27)}{2}=-0.265

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