Answer:
The radius of the balloon is increasing at a rate of 4 feet per minute.
Step-by-step explanation:
We are given the following in the question:
Volume of sphere is given by
where r is the radius of the balloon.
Instant radius, r = 2 ft
Rate of change of volume =
Putting values, we get,
Thus, the radius of the balloon is increasing at a rate of 4 feet per minute.
Answer:
See explanation below.
Step-by-step explanation:
For this case we define first some notation:
A= A new training program will increase customer satisfaction ratings
B= The training program can be kept within the original budget allocation
And for these two events we have defined the following probabilities
We are assuming that the two events are independent so then we have the following propert:
And we want to find the probability that the cost of the training program is not kept within budget or the training program will not increase the customer ratings so then if we use symbols we want to find:
And using the De Morgan laws we know that:
So then we can write the probability like this:
And using the complement rule we can do this:
Since A and B are independent we have:
And then our final answer would be: