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NeX [460]
3 years ago
12

The National Aeronautics and Space Administration (NASA) purchased a new solar-powered battery guaranteed to have a failure rate

of only 1 in 20. A new system to be used in a space vehicle operates on one of these batteries. To increase the reliability of the system, NASA installed three batteries, each designed to operate if the other batteries in the chain fail. If the system is operated in a practical situation, what is the probability that all three batteries would fail
Mathematics
1 answer:
Reptile [31]3 years ago
5 0

Answer:

The probability that all three batteries would fail is given as:

= 0.000125

Step-by-step explanation:

Given that the probability of the new battery failing = 1/20 or 0.05,

Therefore, the probability that all three batteries would fail is given as:

= Probability of battery A failing * Probability of battery B failing * Probability of battery C failing

= P(A)*P(B)*P(C)

= 0.05 * 0.05 * 0.05

= 0.000125

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Which ordered pair is the solution to the system of linear equations y=-7X+2 and y = 9%-14?
Dmitriy789 [7]

Answer:

y = -7x + 2

y = 9x - 14

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7 0
2 years ago
Multiplying a trinomial by a trinomial follows the same steps as multiplying a binomial by a trinomial. Determine the degree and
FinnZ [79.3K]

Answer: Degree of polynomial (highest degree) =4

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Step-by-step explanation:

A trinomial is a polynomial with 3 terms.

The given product of trinomial: (x^2 + x + 2)(x^2 - 2x + 3)

By using distributive property: a(b+c+d)= ab+ac+ad

(x^2 + x + 2)(x^2 - 2x + 3)=(x^2 + x + 2) x^2+(x^2 + x + 2) (-2x)+(x^2 + x + 2)(3)\\\\=x^2(x^2)+x(x^2)+2(x^2)+x^2 (-2x)+x (-2x)+2 (-2x)+x^2 (3)+x (3)+2 (3)\\\\\\=x^4+x^3+2x^2-2x^3-2x^2-4x+3x^2+3x+6

Maximum possible terms =9

Combine like terms

x^4+x^3-2x^3+3x^2-4x+3x+6\\\\=x^4-x^3+3x^2-x+6

Hence, \left(x^2\:+\:x\:+\:2\right)\left(x^2\:-\:2x\:+\:3\right)=x^4-x^3+3x^2-x+6

Degree of polynomial (highest degree) =4

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6 0
2 years ago
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8 0
2 years ago
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