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kifflom [539]
2 years ago
5

What is the first step in solving the system shown below using substitution? 2x=y-1 y=3x

Mathematics
2 answers:
olga55 [171]2 years ago
7 0

Answer:

you have to solve the first equation for y

Step-by-step explanation:

Ronch [10]2 years ago
5 0

Step-by-step explanation:

At first put the value of y that is 3x in equation 2x=y-1.

Then put the value of x in equation y=3x that comes from the first solving part.

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Ken went to the store for his mother. He spent $2.37 on groceries. His mother said he could spend 35¢ on candy. What was his cha
Sedbober [7]
The answer is 1.28 because you add 2.37+35 then subtract that from $5
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3 years ago
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How much less would a 23-year-old female pay for a $25,000 policy of 20 year life insurance (@ $2.90 per $1000) than straight li
mojhsa [17]

<u>Answer</u>:

The female would pay  $322.00 less for a policy of $25,000

<u>Step-by-step explanation:</u>

Since we have given that

Amount for policy = $25000

If she opt for 20 year life insurance at $2.90 per $1000.

so, her amount of premium becomes

25000\times \frac{2.9}{1000}

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If she opt for straight life insurance at $15.78 per $1000,

Then, her amount of premium becomes

25000 \times \frac{15.78}{1000}

= $394.50

Difference between them is given by

$394.50-$72.5 = $322.00

5 0
3 years ago
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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
Simplify 3(2x^4*y^5)^2/(6x^3*y^3)^6
Thepotemich [5.8K]

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3 years ago
Find the area, a rectangle with a length of 4 cm and a width of 2.5 cm
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Answer:

10

Step-by-step explanation:

4x2.5=10CM2

the area of a rectangular =width multiply its length

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