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serious [3.7K]
2 years ago
15

Solve the equation. 5x + 6 = 2(2x – 3) what dose x =

Mathematics
2 answers:
Doss [256]2 years ago
8 0

Answer:

5x + 6 = 2(2x-3)

5x + 6 = 4x -5

x + 6 = -5

......x = -11......

Lady_Fox [76]2 years ago
4 0

Answer:

x=−12

Step-by-step explanation:

Let's solve your equation step-by-step.

5x+6=2(2x−3)

Step 1: Simplify both sides of the equation.

5x+6=2(2x−3)

5x+6=(2)(2x)+(2)(−3)(Distribute)

5x+6=4x+−6

5x+6=4x−6

Step 2: Subtract 4x from both sides.

5x+6−4x=4x−6−4x

x+6=−6

Step 3: Subtract 6 from both sides.

x+6−6=−6−6

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Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given first random sample size n₁ = 500</em>

Given  Roper survey reported that 65 out of 500 women ages 18-29 said that they had the most say when purchasing a computer.

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<em>Given second sample size n₂ = 700</em>

<em>Given a sample of 700 men (unrelated to the women) ages 18-29 found that 133 men said that they had the most say when purchasing a computer.</em>

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<em>Level of significance = α = 0.05</em>

<em>critical value = 1.96</em>

<u><em>Step(ii)</em></u><em>:-</em>

<em>Null hypothesis : H₀: There  is no significance difference between these proportions</em>

<em>Alternative Hypothesis :H₁: There  is significance difference between these proportions</em>

<em>Test statistic </em>

<em></em>Z = \frac{p_{1} ^{-}-p^{-} _{2}  }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }<em></em>

<em>where </em>

<em>         </em>P = \frac{n_{1} p^{-} _{1}+n_{2} p^{-} _{2}  }{n_{1}+ n_{2}  } = \frac{500 X 0.13+700 X0.19  }{500 + 700 } = 0.165<em></em>

<em>        Q = 1 - P = 1 - 0.165 = 0.835</em>

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<em>Z =  -2.76</em>

<em>|Z| = |-2.76| = 2.76 > 1.96 at 0.05 level of significance</em>

<em>Null hypothesis is rejected at 0.05 level of significance</em>

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<u><em>Conclusion:</em></u><em>-</em>

<em>There is there is a difference between these proportions at α = 0.05</em>

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