Answer: The sphere is 0.002548 cm travel up the plane.
Step-by-step explanation:
Since we have given that
Inclination angle = 30°
Translational speed = 0.25 m/s
As we know that
and
Length of solid sphere is given by
So, it becomes,
And
So, it becomes,
Hence, the sphere is 0.002548 cm travel up the plane.
Answer:
The expected cost is 152
Step-by-step explanation:
Recall that since Y is uniformly distributed over the interval [1,5] we have the following probability density function for Y
if
and 0 othewise. (To check this is the pdf, check the definition of an uniform random variable)
Recall that, by definition
Also, we are given that . Recall the following properties of the expected value. If X,Y are random variables, then
Then, using this property we have that .
Thus, we must calculate E[Y] and E[Y^2].
Using the definition, we get that
Then