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Scorpion4ik [409]
3 years ago
12

For the love of God help me !! I'm desperate for it tomorrow

Mathematics
2 answers:
USPshnik [31]3 years ago
8 0
D:5x-2>0 \wedge x>0 \wedge x-1>0\\D:5x>2 \wedge x>0 \wedge x>1\\D: x>\frac{2}{5} \wedge x>1\\D:x>1\\\log_2(5x-2)-\log_2x-\log_2(x-1)=2\\\log_2\frac{5x-2}{x(x-1)}=\log_24\\\frac{5x-2}{x(x-1)}=4\\4x(x-1)=5x-2\\4x^2-4x=5x-2\\4x^2-9x+2=0\\4x^2-x-8x+2=0\\x(4x-1)-2(4x-1)=0\\(x-2)(4x-1)=0\\x=2 \vee x=\frac{1}{4}\\\frac{1}{4}\not \in D \Rightarrow \boxed{x=2}
Flauer [41]3 years ago
5 0
\log_2(5x - 2) - \log_2 x - \log_2(x - 1) = 2
\log_2 ( \frac{5x - 2}{x(x-1)} ) = 2
\log_2 ( \frac{5x - 2}{x(x-1)} ) = \log_2 4
\frac{5x - 2}{x(x-1)} = 4
5x - 2 = 4x(x - 1)
5x - 2 = 4x^2 - 4x
0 = 4x^2 - 9x + 2
0 = (4x - 1)(x - 2)
\implies x = 2 \text{ or } x = \frac{1}{4}

By putting one quarter into the equation we can see that it cannot work in any way involving real numbers as \log_2 ( \frac{1}{4} - 1) would be log of a negative number, so x = 2.
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Rainbow [258]

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(A) 0.006593 or 0.6593%

(B) 0.01538 or 1.538%

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n=\frac{15!}{(15-3)!3!}=\frac{15*14*13}{3*2*1}\\n=455\ ways\\

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P(N=1) = \frac{3}{455}=0.006593 =0.6593\%

(B) There are three possibilities  for which the inspector finds exactly one nonconforming part, three possibilities for two nonconforming parts (NNC, CNN, NCN), and one possibility for all nonconforming parts (NNN). The probability that the inspector finds at least one nonconforming part is:

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1/4

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2 years ago
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