<span>0.002
For 6 systems with exactly 3 failures, you need to calculate 6 pick 3 or 6!/(3!3!) = 720/(6*6)=720/36=20 different combinations of 3 systems to fail. Now the probability of each of those failures will be the probability of the subsystems not failing times the probability of the subsystems fail. So 0.95^3 * 0.05^3 for 3 subsystem not failing time 3 subsystems failing. So 0.95^3 * 0.05^3 = 0.857375*0.000125 = 0.000107172. And multiply by the 6 pick 3 calculated earlier, gives.
0.000107172 * 20 = 0.002143438
And rounding to the nearest thousandth, gives 0.002</span>
It is infinitely many solutions I hope this helps
Well you just divide fractions, invert the divisor and or second fraction and multiply. Then simplify by canselling out the common factors..... multiply and simplify.
Hope this helps~
1) Formula: velocity = change in height / time
2) change in height = 90 feet - 20 feet = 70 feet downward
3) velocity = 70 feet / 15 seconds downward = 4 and 2/3 feet /second downward.
Answer: option B. the elevator traveled downward at a rate of 4 and 2/3 feet per second.