Simplify <span>-28x-28+4−28x−28+4</span> to <span>-28x-24<span>−28x−2<span>4
</span></span></span> Add <span>28x28x</span> to both sides<span>39−7x+28x=−24Simplify <span>39-7x+28x39−7x+28x</span> to <span>39+21x<span>39+21<span>x
</span></span></span><span>39+21x=−24Subtract 39<span> from both sides
</span><span>21x=−24−39Simplify <span>-24-39−24−39</span> to <span>−6<span>3
</span></span><span>21x=−63Divide both sides by <span>21
</span>x=−

Simplify tex] \frac{63}{21} [/tex] to 3
<span>x=−3
</span>
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Answer:
99.9973 %
Step-by-step explanation:
This is a binomial probability distribution.
Since the probability of satisfactory welds = 97% = 0.97 and the probability of defective welds = 3% = 0.03.
Since there are 3 welds and we require at least one being defective, our binomial probability is
P(x ≥ 1) = 1 - P(x ≤ 0) = 1 - P(0) = 1 - ³C₀(0.03)³(0.97)⁰ = 1 - 1 × 0.000027 × 1 = 1 - 0.000027 = 0.999973 × 100% = 99.9973%
In this equation, n = # of sides
Area = n * (side length)² / 4*tan (180 / n)
Area = 5 * 4² / 4 * tan (36)
Area = 80 / 4 * 0.72654
<span><span><span>Area = 80 / 2.90616
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Area =
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27.5277341922
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Source:
http://www.1728.org/polygon.htm
The answer to the top one is 243.