Given:
The graph of an exponential function.
To find:
The function in the form of .
Solution:
The general form of an exponential function is
...(i)
From the given graph it is clear that the function passes through the points (0,4) and (1,7). It means these points will satisfy the function.
For x=0 and f(x)=4,
For x=1 and f(x)=7,
Putting a=4, we get
Substitute a=4 and in (i).
Therefore, the required exponential function is .
Answer with Step-by-step explanation:
Since the demand is normally distributed the required probability can be found from the area under the normal distribution curve as
Part a)
Given mean = 4500 yards per month
Standard deviation = 900 yards
Thus area under the curve corresponding to 6000 yards is found from the standard variate factor Z as
Area for Z = 1.67 = 95.22%
Thus the probability that the demand will be met is 0.9522 hence the probability that the demand will not be met is
Part b)
The reuired answer is area between 5000 and 7000 yards in the normal distribution curve thus we have
.
The area between these 2 values is 49.73% hence the reuired probability is 0.4973.
Part c)
For 97% satisfaction of demand the Z factor corresponding to 97% of area is found to be 1.88
thus we can write
Answer:
m = 65
Step-by-step explanation: