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sergejj [24]
4 years ago
5

M^4-100 in factor form

Mathematics
2 answers:
monitta4 years ago
8 0
Only in grade 9, didn't learn this, but I assume it is...

(m^2+10)(m^2-10)
pychu [463]4 years ago
7 0
Recognize the differntce of 2 perfect squares

remember
a²-b²=(a-b)(a+b)
and
(x^m)^n=x^{mn}

so
m⁴-100=(m²)²-10²=(m²-10)(m²+10)
we can force another factor if you wanted by doing this
(m²-10)(m²+10)=(m-√10)(m+√10)(m²+10)
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A system has 4 components. We want to find the probability that in some implementation of this system components #1 and #2 fail,
alexira [117]

Answer:

The probability that components #1 and #2 fail,  and at least one of components #3 and #4 fails is 0.031875

Step-by-step explanation:

Let's define the following events,

F1: Component #1 fails

F2: Component #2 fails

F3: Component #3 fails

F4: Component #4 fails

We are looking for the following probability

P[(F1∩F2)∩(F3∪F4)]

using distributive laws we have

P[(F1∩F2)∩(F3∪F4)] = P[(F1∩F2∩F3)∪(F1∩F2∩F4)] = P(F1∩F2∩F3) + P(F1∩F2∩F4) - P(F1∩F2∩F3∩F4) = P(F1)P(F2)P(F3) + P(F1)P(F2)P(F4) - P(F1)P(F2)P(F3)P(F4) = (0.25)(0.25)(0.3) + (0.25)(0.25)(0.3) - (0.25)(0.25)(0.3)(0.3)=0.031875

by the assumption of independence (the components fail independently) and because P(F1) = P(F2) = 0.25, P(F3) = P(F4) = 0.3

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4 years ago
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