We have been given that the distribution of the number of daily requests is bell-shaped and has a mean of 38 and a standard deviation of 6. We are asked to find the approximate percentage of lightbulb replacement requests numbering between 38 and 56.
First of all, we will find z-score corresponding to 38 and 56.
Now we will find z-score corresponding to 56.
We know that according to Empirical rule approximately 68% data lies with-in standard deviation of mean, approximately 95% data lies within 2 standard deviation of mean and approximately 99.7% data lies within 3 standard deviation of mean that is 
.
We can see that data point 38 is at mean as it's z-score is 0 and z-score of 56 is 3. This means that 56 is 3 standard deviation above mean.
We know that mean is at center of normal distribution curve. So to find percentage of data points 3 SD above mean, we will divide 99.7% by 2.
Therefore, approximately 
of lightbulb replacement requests numbering between 38 and 56.
Answer:
Step-by-step explanation:
You are given the function 
. To find the inverse function 
do such steps:
1. Rewrite the function f(x) as
2. Express x in terms of y:
3. Change x into y and y into x:
Now, the inverse function is
Is Oya a functional character or a real-life one? What is the story?
Answer:
average speed for the entire trip is 15 mph
Step-by-step explanation:
Let x be the uphill speed and y be the downhill speed.
We have been given that
Speed of Omar in uphill to reach gift store = x =10 mph
Speed of Omar in downhill to reach his home = y = 30 mph
We know the formula for average speed for the entire trip
Therefore, average speed is 15 mph
Answer:
Step-by-step explanation:
If the Number of Sales of x units, N(x) is defined by the function:
Next, we text the critical points and the end points of the interval to see where the derivative is increasing.
Thus, the rate of change of sales 
is increasing in the interval on 10≤x≤40.
