Express

Mathematics

1 answer:

timofeeve [1]3 years ago

5 0

Answer:

x^2-8x-9

−8x−9

Step-by-step explanation:

You have to factor the expression in order to get your answer

Do this by expanding out the expression: (x-10)(x-10)

Then factor by multiplying each of the components! Use the FOIL acronym to help you. FOIL stands for First, Outer, Inner, Last. Meaning multiply the first numbers of the expressions together, then the outers, then the inner two numbers, then the last two numbers of the expression.

Multiply x and x to get , multiply x and -10 to get -10x, multiply -10 and x to get -10x, multiply -10 and -10 to get 100. Add them all together: . Then combine like terms

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A parallel system functions whenever at least one of its components works. Consider a parallel system of 5 components, and suppo

Aneli [31]

Answer:

Probability that component 4 works given that the system is functioning = 0.434 .

Step-by-step explanation:

We are given that a parallel system functions whenever at least one of its components works.

There are parallel system of 5 components and each component works independently with probability 0.4 .

Let A = Probability of component 4 working properly, P(A) = 0.4 .

Also let S = Probability that system is functioning for whole 5 components, P(S)

Now, the conditional probability that component 4 works given that the system is functioning is given by P(A/S) ;

P(A/S) = {Means P(component 4 working and system also working)

divided by P(system is functioning)}

P(A/S) = {In numerator it is P(component 4 working) and in

denominator it is P(system working) = 1 - P(system is not working)}

Since we know that P(system not working) means that none of the components is working in system and it is given with the probability of 0.6 and since there are total of 5 components so P(system working) = 1 - $0.6^{5}$ .