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Annette [7]
3 years ago
14

Solve each system of linear equations by substitution you will get an x, y point for solution

Mathematics
1 answer:
vfiekz [6]3 years ago
6 0

{y = x - 4    

                          => 2x+x-4=5 => 3x=9......<em>x=3</em>

{2x + y = 5                                                 <em>y=3-4=-1</em>

<em>________________________________________________</em>

{<em>x+4y=6</em>

<em>{y=-x+3</em>

<em>=> x+4(-x+3)=6</em>

<em>   x-4x+12=6</em>

<em>-3x=-6</em>

<em>x=2</em>

y=-2+3=1

y=1

___________________________________________________-

{x+2y=9

{x-y=3 .......x=3+y


3+y+2y=9

3y=6

y=2

<em>x=3+2=5</em>

<em>x=5</em>

<em>_________________________________</em>

<em />{3x-2y=9

{y=2x-7

3x-2(2x-7)=9

3x-4x+14=9

-x=-5

x=5

<em>y=2*5-7=10-7=3</em>

<em></em>y=3

<em />

<em>
</em>




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Solve. 8 - 2d = c 4c + 3d = 2 c=4 d = -6 C=-4 d = 6 C=4 d = 6 C=-4 d = -6​
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A supervisor records the repair cost for 22 randomly selected VCRs. A sample mean of $75.50 and standard deviation of $18.07 are
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Answer:

<em>  The 99% confidence interval for the mean repair cost for the VCRs</em>

(65.801, 85.199)

Step-by-step explanation:

<u><em>Explanation:-</em></u>

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Given the standard deviation of the sample (S) =  $18.07

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Degrees of freedom = n-1 =22-1 =21

critical value t₍₀.₀₁, ₂₁₎ = 2.5176

<em> The 99% confidence interval for the mean repair cost for the VCRs</em>

(x^{-} - t_{0.01} \frac{S.D}{\sqrt{n} } , x^{-} +t_{0.01} \frac{S.D}{\sqrt{n} })

(75.50 - 2.5176 \frac{18.07}{\sqrt{22} } , 75.50 +2.5176 \frac{18.07}{\sqrt{22} })

( 75.50 - 9.699 , 75.50 + 9.699 )

(65.801, 85.199)

<u><em>Final answer:-</em></u>

<em> The 99% confidence interval for the mean repair cost for the VCRs</em>

(65.801, 85.199)

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