Like of segment being r, calculated in the picture is the length
In slope-intercept form, what is the equation of the line
1 answer:
You might be interested in
Answer:
If the distribution is bell shaped we can approximate the probability with high accuracy using the z score formula.
a)
And for this case we can use the z score given by:
And if we use it we got:
b)
And for this case we can use the z score given by:
And if we use it we got:
c)
And for this case we can use the z score given by:
And if we use it we got:
If the distribution is NOT bell shaped the approximation with the z score NOT works and we need to have the distribution for X in order to find the probabilities.
Step-by-step explanation:
Previous concepts
If the distribution is bell shaped we can approximate the probability with high accuracy using the z score formula.
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Part a
Let X the random variable of interest
We assume for this case that and
We are interested on this probability
And for this case we can use the z score given by:
And if we use it we got:
Part b
And for this case we can use the z score given by:
And if we use it we got:
Part c
And for this case we can use the z score given by:
And if we use it we got:
If the distribution is NOT bell shaped the approximation with the z score NOT works and we need to have the distribution for X in order to find the probabilities.
Option c: x=6 is a true solution and x=-6 is an extraneous solution.
Explanation:
The equation is
Dividing both sides of the equation by 2, we get,
Simplifying,
Since, we know by the logarithmic definition, if , then
Using this definition, we have,
Hence,
Now, let us verify if is the solution.
Substitute in the equation
to see whether both sides of the equation are true.
We have,
Using the log rule,
We have,
Hence, both sides of the equation are equal.
Thus, is the true solution.