Answer:
$50.54
Step-by-step explanation:
$66.00 x .30 = $46.80 x .08 = 3.74 + 46.80 = $50.54
Answer:
What is the question?
Step-by-step explanation:
Given:
In an isosceles triangle LMN, LM=MN.

To find:
The measure of the angles L, M and N.
Solution:
In triangle LMN,
(Given)
(Base angles of an isosceles triangle are equal)
Now,




On further simplification, we get




The value of x is 13. Using this value, we get



Similarly,



And,


Therefore, the measure of angles are
.
Here you have black dots at x = {0, 1, 2, 4, 4.5, 5}.
For each of these x-values, there is one and only one associated y-value. This fact tells us that the graph does represent a function.
Answer:

If we divide both sides by
we got:

And we can use the normal distribution table or excel to find the probabilites and we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
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".
Solution to the problem
Let X the random variable that represent the area of a population, and for this case we know the distribution for X is given by:
Where
and 
We select a a sample of n =4 and since the distribution for X is normal then we know that the distribution for the sample mean
is given by:

And we want to find this probability:

If we divide both sides by
we got:

And we can use the normal distribution table or excel to find the probabilites and we got:
