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r-ruslan [8.4K]
3 years ago
8

Jill converted the equation of the line 15x-4y=-2 into slope-intercept form and found the slope and y-intercept of the line

Mathematics
1 answer:
slega [8]3 years ago
7 0

Answer:

She got the sign of the slope wrong

Step-by-step explanation:

She did \frac{-4y}{-4} = \frac{-2-15x}{-4} and turned that into \frac{-2}{-4}-\frac{-15x}{-4}, which is wrong, because she did the negative twice. Therefore, she mixed up the sign of the slope.

Please mark brainliest if this helped you!

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4162 to 3 significant figures
butalik [34]
Hey there Altagraciasouth :)

Significant Figure Question:

**Question 4162 to 3 SF

Explanation:

We first have to look for the third number in 4162. That would be 62!

So we round 62 to the nearest ten. Which gives us 60!

**Answer: 4160

Hope this helped :)
8 0
3 years ago
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.

6 0
3 years ago
In the math problem, "450 is 75% of what number?" 450 is the ___.
Anni [7]

Answer:

600

Step-by-step explanation:

Since 3/4 of 100 is 75, we have to divide 450 by three.

450 ÷ 3 = 150

150 x 4 = <em><u>600</u></em>

<em><u /></em>

<em>                                                </em><em><u>Hope this helps :)</u></em>

<em><u>Please mark brainliest ;)</u></em>

<em><u /></em>

<em><u /></em>

6 0
3 years ago
Read 2 more answers
What is 5/8 to the lowest fraction?
neonofarm [45]
5/8 is the lowest fraction. It can not be simplified anymore
3 0
3 years ago
For all x&gt;0,<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B1%20%2B%20%20%5Cfrac%7B1%7D%7Bx%7D%20%7D%20" id="TexFor
Aleksandr-060686 [28]

Answer:

G.  \frac{x}{x+1}

Step-by-step explanation:

3 0
3 years ago
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