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Ede4ka [16]
3 years ago
7

What number must you add to complete the square? x^2 + 8x = -3

Mathematics
1 answer:
KonstantinChe [14]3 years ago
5 0
<span>x^2 + 8x = -3
</span><span>x^2 + 8x + 16 = -3 + 16
using a^2 + 2 a b + b^2 = (a+b)^2
</span><span>
</span>x^2 + 8x + 16 = 13

<span>(x +4)^2 = 13

answer : 16 is the number </span><span>you must add to complete the square</span>
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The Solution:

Given:

Required:

Find the standard deviation of the probability distribution.

Step 1:

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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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Answer:

1.60

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Step-by-step explanation:

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