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:

Answer:
Total value of the account in 2032 will be $26,368
You must first normalize this in order to use a Z-score table. To convert what you have into a Z score you must use this formula: (x- mean) /standard deviation. In your case (334-310)/12=2. So now you want the probability that a score is greater than 334, which in turn means you want P(Z>2)=1-P(Z<2)=1-.9772=0.0228=2.28%.
Answer:
-4.67
Step-by-step explanation:
first find f^-1(x)
let f(x)=y
y=3x+2
3x=y-2
x=y-2/3
Therefore f^-1(x)=x-2/3
Now f^-1(-12)=-12-2/3
=-14/3
=-4.67