Answer: The system will succeed when the first alarm rings or when the first one fails, but the second one rings. The probability of this is 0.98
The probability of system failure is 1-(probability of success)= 1-0.98= 0.02
Step-by-step explanation:
Answer:
+12.5%
Step-by-step explanation:
This is rather simple. Subtract 72 from 81, then put the difference over 72. Then, multiply that by 100.
(81 - 72)/72 * 100
<em>Subtract 72 from 81 to get 9</em>
9/72 * 100
<em>Multiply 9 by 100 to get 900</em>
900/72
<em>Simplify the above fraction by cancelling out 9.</em>
100/8
<em>Divide 100 by 8 to get 12.5%</em>
The percent of change is +12.5%
Yes they do, in the grand aspect of things.

is conservative if we can find a scalar function
such that
. This would require



Integrating both sides of the first equation wrt
gives

Differentiating both sides of this wrt
gives

but we assumed
was a function of
and
, independent of
. So there is no such
and
is not conservative.
To find the work, first parameterize the path (call it
) by

for
. Then

and the work is given by the line integral,

