4. The time needed to complete the final exam in statistics at CAU is normally distributed with a mean of 90 minutes and a standard deviation of 10 minutes. What is the probability that the exam will be completed in one hour or less

The value is    

Step-by-step explanation:

From the question we are told that

   The mean is  

   The standard deviation is  

Generally  1 hours =  60  minutes

  Generally the probability that the exam will be completed in one hour or less is  

Here

From the z -distribution table the probability of  ( Z> -3  )

=>  

=>    

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

25

step-by-step explanation: