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Ulleksa [173]
4 years ago
12

Solve the following equation. Show all steps. 3(w+8)+2w=5(w+5)+1

Mathematics
1 answer:
Darina [25.2K]4 years ago
5 0

3(w+8) + 2w = 5(w + 5) + 1

Distribute:

3w + 24 + 2w = 5w + 25 + 1

5w + 24 = 5w + 26

5w = 5w + 2

0 = 2

No solution.

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A sample of 2,500 people was asked how many cups of coffee they drink in the morning. You are given the following sample informa
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Answer: V(X) = 0.96

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For a discrete frequency distribution is calculated following the steps:

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E(X)=\frac{\Sigma xf}{\Sigma f}

E(X)=\frac{0(700)+1(900)+2(600)+3(300)}{2500}

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2) Multiply frequency and the squared difference of x and expected value:

f(x-E(X))^{2}

700(0-1.2)^{2}=1008\\900(1-1.2)^{2} = 36\\600(2-1.2)^{2} = 384\\300(3-1.2)^{2} = 972

3) Add them:

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3 years ago
The sum of the 6th and seventh terms in a sequence of 12 numbers with a common difference is 16. What is the Sum of the number s
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Answer:

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commom difference = d

a₆ + a₇ = 16

a₅ + a₈ = (a₆ - d) + (a₇ + d) = a₆ + a₇ = 16

a₄ + a₉ = (a₆ - 2d) + (a₇ + 2d) = a₆ + a₇ = 16

Similarly,

a₃ + a₁₀ = 16, a₂ + a₁₁ = 16, a₁ + a₁₂ = 16

so

a₁ + a₂ + ... + a₁₁ + a₁₂ = 6 x 16 = 96

6 0
2 years ago
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