Answer:
The required probability is 0.167
Step-by-step explanation:
Consider the provided information.
Let x be the number of breakdown per day.
A new automated production process averages 1.4 breakdowns per day.
λ=1.4
Probability of having three or more breakdowns during a day is:
![P(x\geq 3)=1-[f(0)+f(1)+f(2)]](https://tex.z-dn.net/?f=P%28x%5Cgeq%203%29%3D1-%5Bf%280%29%2Bf%281%29%2Bf%282%29%5D)
The Poisson probability function is: 
Therefore the required probability is:
![P(x\geq 3)=1-[\frac{\left(1.4^{0}e^{-1.4}\right)}{0!}+\frac{\left(1.4^{1}e^{-1.4}\right)}{1!}+\frac{\left(1.4^{2}e^{-1.4}\right)}{2!}]](https://tex.z-dn.net/?f=P%28x%5Cgeq%203%29%3D1-%5B%5Cfrac%7B%5Cleft%281.4%5E%7B0%7De%5E%7B-1.4%7D%5Cright%29%7D%7B0%21%7D%2B%5Cfrac%7B%5Cleft%281.4%5E%7B1%7De%5E%7B-1.4%7D%5Cright%29%7D%7B1%21%7D%2B%5Cfrac%7B%5Cleft%281.4%5E%7B2%7De%5E%7B-1.4%7D%5Cright%29%7D%7B2%21%7D%5D)
Hence, the required probability is 0.167
Its choice d because 1^2 - 5(1) + 6
= 1 - 5 + 6
= 2
She drove 2 hours at 35 miles per hour for a total of 35 * 2 = 70 miles.
She drove 3 hours at 48 miles per hour for a total of 48 * 3 = 144 miles.
Her total miles were: 70 + 144 = 214.
Her total driving time was 3 + 2 = 5 hours.
Divide her total miles by total time for her average speed:
214 / 5 = 42.8 miles per hour average speed.
Not sure if you need to round the answer or not.
When the decrease in velocity (the acceleration) is uniform, the average velocity is [Initial velocity - Final velocity]/2
We know tha the initial velocity is 0.96 rev / sec and the final velocity is 0,
Then, the average velocity is [0.96 / 2 ]rev /sec = 0.48 rev/sec.
Also, by defintion,
average velocity = number of rev / time,
From which, number of rev = average velocity * time
So, number of rev = 0.48 rev/sec * 2.4 min * 60sec /min = 69.12 rev
Answer: 69.12 revolutions
<span>Pi * r^2 (Pi multiplied by the radius of the circle (squared)
(It's working out the area of the circle
So Pi * 1.5^2</span>
