For the following exercises, determine whether or not the given function
is continuous everywhere. If it is continuous everywhere it is defined, state for what range it is continuous. If it is discontinuous, state where it is discontinuous.
For the following exercises, refer to
[link] . Each square represents one square unit. For each value of
determine which of the three conditions of continuity are satisfied at
and which are not.
For the following exercises, use a graphing utility to graph the function
as in
[link] . Set the
x -axis a short distance before and after 0 to illustrate the point of discontinuity.
Which conditions for continuity fail at the point of discontinuity?
The function
is graphed in
[link] . It appears to be continuous on the interval
but there is an
x -value on that interval at which the function is discontinuous. Determine the value of
at which the function is discontinuous, and explain the pitfall of utilizing technology when considering continuity of a function by examining its graph.
Step 1: Find the mean. To find the mean, add up all the scores, then divide them by the number of scores. ...
Step 2: Find each score's deviation from the mean. ...
Step 3: Square each deviation from the mean. ...
Step 4: Find the sum of squares. ...
Step 5: Divide the sum of squares by n – 1 or N.
The sample of 16 students is taken. The average age in the sample was 22 years with astandard deviation of 6 years. Construct a 95% confidence interval for the age of the population.
Bhartdarshan' is an internet-based travel agency wherein customer can see videos of the cities they plant to visit. The number of hits daily is a normally distributed random variable with a mean of 10,000 and a standard deviation of 2,400
a. what is the probability of getting more than 12,000 hits?
b. what is the probability of getting fewer than 9,000 hits?
Bhartdarshan'is an internet-based travel agency wherein customer can see videos of the cities they plan to visit. The number of hits daily is a normally distributed random variable with a mean of 10,000 and a standard deviation of 2,400.
a. What is the probability of getting more than 12,000 hits