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dmitriy555 [2]
3 years ago
5

Simply the expression. 10(6y + 12) + 8(7y - 4)

Mathematics
2 answers:
Tanzania [10]3 years ago
8 0

Answer: 116y+88

Step-by-step explanation:

<u>Distribute:</u>

60y+120+56y-32

<u>Combine like terms:</u>

116y+88

mylen [45]3 years ago
6 0

Answer: <em>116y+88</em>

Step-by-step explanation:

<em>10(6y+12)+8(7y-4)</em>

<em>Distribute 10 and 8</em>

<em>60y+120+56y-32</em>

<em>Combine like terms</em>

<em>116y+88</em>

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The Solution:

Given:

Required:

Find the standard deviation of the probability distribution.

Step 1:

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E(x)=\mu=\sum_{i\mathop{=}0}^3x_iP_(x_i)\begin{gathered} \mu=(0\times0.25)+(1\times0.05)+(2\times0.15)+(3\times0.55) \\  \\ \mu=0+0.05+0.30+1.65=2.0 \end{gathered}

Step 2:

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Standard\text{ Deviation}=\sqrt{\sum_{i\mathop{=}0}^3(x_i-\mu)^2P_(x_i)}=(0-2)^2(0.25)+(1-2)^2(0.05)+(2-2)^2(0.15)+(3-2)^2(0.55)=4(0.25)+1(0.05)+0(0.15)+1(0.55)=1+0.05+0+0.55=1.60

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