Answer:
7 years
Step-by-step explanation:
The probability any one system works is 0.99
So the probability of any one system failing is 1-0.99 = 0.01, so basically a 1% chance of failure for any one system
Multiply out the value 0.01 with itself four times
0.01*0.01*0.01*0.01 = 0.000 000 01
I'm using spaces to make the number more readable
So the probability of all four systems failing is 0.00000001
Subtract this value from 1 to get
1 - 0.00000001 = 0.99999999
The answer is 0.99999999 which is what we'd expect. The probability of at least one of the systems working is very very close to 1 (aka 100%)
Neither do I hope someone else can help you
Answer:
About 2.569 seconds
Step-by-step explanation:
To solve this problem, you can separate it into two half parabolas. The beginning part is initial upward rising. To calculate the amount of time that this part of the dive takes, you can use the formula
, where
is the final velocity,
is the initial velocity, a is the acceleration due to gravity, and t is the amount of time it takes. You know that the final velocity is 0, since the diver is reaching the terminal of their dive. Therefore, you can set up the following equation (assuming that the acceleration due to gravity is 32ft/s^2):
![0=5+(-32)t](https://tex.z-dn.net/?f=0%3D5%2B%28-32%29t)
seconds
To find the height that this indicates the diver has risen, you can plug this time into the following formula: ![d=v_o t+\frac{1}{2}at^2](https://tex.z-dn.net/?f=d%3Dv_o%20t%2B%5Cfrac%7B1%7D%7B2%7Dat%5E2)
feet
For the second part, you can use the equation
again. Since the initial velocity for this part is 0, you can set up the following equation:
![92+1.172=\frac{1}{2}\cdot 32 \cdot t^2](https://tex.z-dn.net/?f=92%2B1.172%3D%5Cfrac%7B1%7D%7B2%7D%5Ccdot%2032%20%5Ccdot%20t%5E2)
![t \approx 2.413](https://tex.z-dn.net/?f=t%20%5Capprox%202.413)
Adding this to the time that the first part of the dive takes, you get a total of about 2.569 seconds. Hope this helps!
Answer:
v ≤ 8
Step-by-step explanation:
89-11v≤7v-55
-11v-7v≤ -55-89
-18v ≤ -144
divide Both sides by -18
-18v/-18 ≤ -144/-18
v ≤ 8