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stiv31 [10]
2 years ago
10

Where will the lines y= -2/5x + 1 and y= -2/5x - 2 intersect?

Mathematics
1 answer:
juin [17]2 years ago
8 0

Answer:

Never

Step-by-step explanation:

Their slope is the same so they will go down the same distance every time, and since the first one touches the y-intercept at 1 and the other one touches the y-intercept at -2, it is completely impossible for them to ever intersect

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A machine has four components, A, B, C, and D, set up in such a manner that all four parts must work for the machine to work pro
olchik [2.2K]

Answer:

0.756

Step-by-step explanation:

It is given that a machine has four components, A, B, C, and D.

P(A)=P(B)=0.93, P(C)=0.95,P(D)=0.92

If these components set up in such a manner that all four parts must work for the machine to work properly.

We need to find the probability that the machine works properly. It means we have to find the value of P(A\cap B\cap C\cap D).

If two events X and Y are independent, then

P(X\cap Y)=P(X)\times P(Y)

Assume the probability of one part working does not depend on the functionality of any of the other parts.

P(A\cap B\cap C\cap D)=P(A)\times P(B)\times P(C)\times P(D)

Substitute the given values.

P(A\cap B\cap C\cap D)=0.93\times 0.93\times 0.95\times 0.92

P(A\cap B\cap C\cap D)=0.7559226

P(A\cap B\cap C\cap D)\approx 0.756

Therefore, the probability that the machine works properly is 0.756.

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2 years ago
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