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Novosadov [1.4K]
3 years ago
11

The number of guppies that a fish tank can safely hold depends on its volume. A fish tank should have a volume of 576 cubic inch

es to safely hold 3 guppies. How many guppies can a fish tank that is 24 inches long, 12 inches wide, and 16 inches high safely hold? It can safely hold ___ guppies.
Mathematics
1 answer:
andre [41]3 years ago
3 0
The answer is 24 guppies. First find the volume of the tank, then divide that volume by 576 (you should get 8), then you multiply 3 guppies by 8 to get 2e
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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.

6 0
3 years ago
Hello, could you please explain this to me?
Viefleur [7K]

Find the value of r(q(4)), so first you need to find the value of q(4).

q(4), this means that x = 4, so substitute/plug it into the equation to find the value of q(x) when x = 4:

q(x) = -2x - 1      Plug in 4 into "x" since x = 4

q(4) = -2(4) - 1

q(4) = -8 - 1

q(4) = -9        

Now that you know the value of q(4), you can find the value of r(x) when x = q(4)

r(x) = 2x² + 1

r(q(4)) = 2(q(4))² + 1      Plug in -9 into "q(4)" since q(4) = -9

r(q(4)) = 2(-9)² + 1

r(q(4)) = 2(81) + 1

r(q(4)) = 163           163 is the value of r(q(4))

5 0
3 years ago
mrs baxter deposits $2000 in an account that earns 5% simple interest. How much is mrs baxters investment worth after 8 years?
anyanavicka [17]

Answer:

$2,954.91

Step-by-step explanation:

interest = (principal) × (interest rate) × (term)

Interest = $2000 * 0.05 * 8

interest = $2,954.91

5% / 100 = 0.05

6 0
3 years ago
Read 2 more answers
Kara ate 2 7/9 of the raisins she packed. Which box shows the decimal equivalent of the amount of raisins she ate? Box A: 2.777
vivado [14]

Answer:  Box A, 2.777

=======================================================

Explanation:

When using a calculator or long division, you should find that

7/9 = 0.7777...

where the 7s go on forever

So we can say that 7/9 = 0.777 approximately. You could argue that the last '7' would round up to an '8' and we could say 7/9 = 0.778; however, I'll stick to the first value so that it matches with the answer.

Since 7/9 = 0.777, this means 2 & 7/9 = 2 + 7/9 = 2 + 0.777 = 2.777 which is box A.

6 0
3 years ago
PLZ HELP WITH THIS LOVE YOU IF BRAINLIEST
Vsevolod [243]

Domain:

- ∞∞

Interval Notation: (-∞, ∞)

Range:

f(x) < 4

Interval Notation: (-∞, 4)

IT IS THE SECOND ONE

Hope this helps!!!!

8 0
3 years ago
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