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PtichkaEL [24]
3 years ago
5

The equation of line CD is y = −2x − 2. Write an equation of a line parallel to line CD in slope-intercept form that contains po

int (4, 5)
Mathematics
2 answers:
Mkey [24]3 years ago
8 0
Y = -2x - 2...the slope here is -2. A parallel line will have the same slope.

y = mx + b
slope(m) = -2
(4,5)...x = 4 and y = 5
now we sub and find b, the y int
5 = -2(4) + b
5 = -8 + b
5 + 8 = b
13 = b

so ur parallel equation is : y = 2x + 13
V125BC [204]3 years ago
8 0

 y = negative 1 over 2x + 7
 y = 1 over 2x + 3
 y = − 2x − 3
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Answer:

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Iteru [2.4K]

parallel lines have the same slope

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slope intercept form

y= mx+b

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3 years ago
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soldier1979 [14.2K]

Answer:

a) P[C]=p^n

b) P[M]=p^{8n}(9-8p^n)

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d) n=138

Step-by-step explanation:

Note: "Each chip contains n transistors"

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P[C]=p^n

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We can calculate this as a binomial distribution problem, with n=9 and k≥8:

P[M]=P[C_9]+P[C_8]\\\\P[M]=\binom{9}{9}P[C]^9(1-P[C])^0+\binom{9}{8}P[C]^8(1-P[C])^1\\\\P[M]=P[C]^9+9P[C]^8(1-P[C])\\\\P[M]=p^{9n}+9p^{8n}(1-p^n)\\\\P[M]=p^{8n}(p^{n}+9(1-p^n))\\\\P[M]=p^{8n}(9-8p^n)

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P[M]=(0.999)^{8n}(9-8(0.999)^n)=0.9

This equation was solved graphically and the result is that the maximum number of chips to have a reliability of the memory module equal or bigger than 0.9 is 62 transistors per chip. See picture attached.

d) If the memoty module tolerates 2 defective chips:

P[M]=P[C_9]+P[C_8]+P[C_7]\\\\P[M]=\binom{9}{9}P[C]^9(1-P[C])^0+\binom{9}{8}P[C]^8(1-P[C])^1+\binom{9}{7}P[C]^7(1-P[C])^2\\\\P[M]=P[C]^9+9P[C]^8(1-P[C])+36P[C]^7(1-P[C])^2\\\\P[M]=p^{9n}+9p^{8n}(1-p^n)+36p^{7n}(1-p^n)^2

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