Johanna can jog 3,000 feet in 5 minutes. If she jogs at the same rate, how many feet can she jog in 10 minutes?
2 answers:
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The absolute value function is defined as
If x is strictly positive (x > 0), then |x| = x, and d|x|/dx = dx/dx = 1.
If x is strictly negative (x < 0), then |x| = -x, and d|x|/dx = d(-x)/dx = -1.
But if x = 0, the derivative doesn't exist!
In order for the derivative of a function f(x) to exist at x = c, the limit
must exist. This limit does not exist for f(x) = |x| and c = 0 because the value of the limit depends on which way x approaches 0.
If x approaches 0 from below (so x < 0), we have
whereas if x approaches 0 from above (so x > 0), we have
But 1 ≠ -1, so the limit and hence derivative doesn't exist at x = 0.
Putting everything together, you can define the derivative of |x| as
Answer:
The margin of of error for a 95% confidence interval for the population mean is of 1.39 years.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
That is z with a pvalue of , so Z = 1.96.
The margin of error is:
In which is the standard deviation of the population and n is the size of the sample.
Population standard deviation of 3 years
This means that
Sample of 18 voters
This means that
Margin of error:
The margin of of error for a 95% confidence interval for the population mean is of 1.39 years.
Answer:
The area is 768 square meters
Step-by-step explanation:
Use the Pythagorean theorem to find the width, then multiply the width by the length to find the area of the rectangle.
