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:
Answer:
1440
Step-by-step explanation:
36,000x0.04=1440
Answer:
In algebra, we begin to see variables or letters that are used to represent numbers. An example of a mathematical expression with a variable is 2x + 3. In the expression 2x + 3, the coefficient of x is number 2, and it means 2 times x plus 3.
Answer:
Step-by-step explanation:
In order to calculate the volume of a triangular prism you need 2 things:
The triangles area and the prism's height.
Any prism's volume can be calculated by multiplying its base area with its height.
The Area of a triangle can be calculated in different ways.
The most used and "normal" way is:
(width * height) / 2
Another way is by using herons formula, which looks like this:
a, b, c = different sides of the triangle (length)
s = (a + b + c) / 2
a = 
When you have the prism's base area (
) you just have to multiply:
(V = volume)
If you have any questions, just ask them in the comments below.
Have a good day! (●'◡'●)
Answer:
3 3/5
Step-by-step explanation:
You can see that Steven's cat drank 2/5, Then it drank 3/5. If you add those together, then you get 1. Then it drank 1/2 a cup of milk 4 times, that would equal 2. Then, she drank one more 3/5 cup of milk. Then you add all the whole numbers, which equals 3 then you have that 3/5 left over so its 3 3/5
