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san4es73 [151]
3 years ago
6

What is the y-intercept jn this linear equoation ? y=-4X + 4

Mathematics
1 answer:
Nataly_w [17]3 years ago
7 0

Answer:

the y intercept is 4.

Step-by-step explanation:


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Memory module consists of 9 chips. The device is designed with redundancy so that it works even if one of its chips is defective
soldier1979 [14.2K]

Answer:

a) P[C]=p^n

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

c) n=62

d) n=138

Step-by-step explanation:

Note: "Each chip contains n transistors"

a) A chip needs all n transistor working to function correctly. If p is the probability that a transistor is working ok, then:

P[C]=p^n

b) The memory module works with when even one of the chips is defective. It means it works either if 8 chips or 9 chips are ok. The probability of the chips failing is independent of each other.

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)

c)

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

We again calculate numerically and graphically and determine that the maximum number of transistor per chip in this conditions is n=138. See graph attached.

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3 years ago
When Josiah opens and lays a cereal box out flat, he sees that the top and the bottom of the box both measure 2 inches by 8 inch
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Answer:

<u>252 square inches is the surface area of Josiah's cereal box.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Height of the box = 11 inches

Length of the box = 8 inches

Width of the box = 2 inches

2. What is the surface area of Josiah's cereal box?

Let's recall the surface area of a rectangular prism:

Surface area = 2 (width * length + height * width + length * height)

Surface area = 2 (2 * 8 + 11 * 2 + 8 * 11)

Surface area = 2 (16 + 22 + 88)

Surface area = 2 * 126

<u>Surface area = 252 inches²</u>

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