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frez [133]
2 years ago
9

If 3(d+1)=4(d–2) then what is the value of 5(d–2)

Mathematics
1 answer:
Sonja [21]2 years ago
3 0

Answer:

5(d - 2) = 45

Step-by-step explanation:

Solve the given equation for d

3(d + 1) = 4(d - 2) ← distribute parenthesis on both sides

3d + 3 = 4d - 8 ( subtract 3d from both sides )

3 = d - 8 ( add 8 to both sides )

11 = d

Then

5(d - 2) = 5(11 - 2) = 5(9) = 45

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<em>The interior length of the bassinet to ensure that 99 percent of newborn babies will fit   = 1.7 cm</em>

Step-by-step explanation:

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

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

Given mean of population = 50 cm  

<em>standard deviation of Population = 5 cm</em>

<em>Given Margin of error = 10 cm</em>

<em>The Margin of error is determined by </em>

<em></em>M.E = \frac{Z_{\alpha } S.D}{\sqrt{n} }<em></em>

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

<em>Given level of significance ∝ = 99 % or 1 %</em>

Z₀.₀₁ = 2.576

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

<em>The interior length of the bassinet to ensure that 99 percent of newborn babies will fit   = 1.7 cm</em>

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