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Ipatiy [6.2K]
3 years ago
10

Solve the system of equations. 6x - 3y = 3 -2r +y = 14 What number would you multiply the second equation by in order to elimina

te the x-terms when adding to the first equation? What number would you multiply the first equation by in order to eliminate the y-terms when adding to the second equation?​
Mathematics
2 answers:
uysha [10]3 years ago
4 0

9514 1404 393

Answer:

  3

Step-by-step explanation:

Assuming your two equations are ...

  • 6x -3y = 3
  • -2x +y = 14

You want to find the multiplier k such that ...

  6 + (-2)k = 0 . . . . total x-coefficient after the equations are combined

Dividing by 2 gives ...

  3 - k = 0

  3 = k . . . . . . add k

The multiplier needed is 3.

Maddyyyy2 years ago
1 0

The first one is 3 and the second one is 2.
Hope this helps

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lutik1710 [3]

Answer:

a) z = 1.645

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Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645, which means that the answer of question a is z = 1.645.

Now, find  the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

(b) If the group wants their estimate to have a maximum error of $12, how many small claims should they sample?

They should sample at least n small claims, in which n is found when

M = 12, \sigma = 124.88. So

M = z*\frac{\sigma}{\sqrt{n}}

12 = 1.645*\frac{124.88}{\sqrt{n}}

12\sqrt{n} = 205.43

\sqrt{n} = \frac{205.43}{12}

\sqrt{n} = 17.12

\sqrt{n}^{2} = (17.12)^{2}

n = 293

The should sample at least 293 small claims.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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