Answer:
And using a calculator, excel or the normal standard table we have that:
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 scores of a population, and for this case we know the distribution for X is given by:
Where 
and 
Since the distribution for X is normal then we know that the distribution for the sample mean 
is given by:
We can find the individual probability like this:
And using a calculator, excel or the normal standard table we have that:
Answer:
68.06 sq. feets
Step-by-step explanation:
Area of room's floor
11.33 × 7 = 79.33
Area of tiled floor
4.83 × 2.33 = 11.278
Area of floor needed to be carpeted
79.33-11.278= 68.06
Answer:
The number is -2
Step-by-step explanation:
Let the number = x
Given that:
Five times the result of adding one to a certain number, is equal to four times the number, plus three.
The equation will be:
5(x+1) = 4x +3
Simplifying
5x + 5 = 4x +3
Taking terms with x on left side and others on right side
5x - 4x = 3 - 5 (sign of transferred terms will be changed)
x = -2
Proof :
Condition 1:
- Add one = -2 +1 = -1
- Multiply 5 = -5
Condition 2:
- 4 times of number = 4 (-2) = -8
- Add 3 = -8 +3 = -5
Hence both conditions have same answer.
I hope it will help you!
Answer:
<h2>Time is the independent variable and Height of the Grass is the dependent variable.</h2>
Step-by-step explanation:
The graph is about the height of the grass thourgh time, that means Brady is analysing how long it takes to the grass to grow.
It's important to know that time is a variable which doesn't depends on any other variabel, that is, it's an independent variable all the time.
Therefore, Time is the independent variable and Height of the Grass is the dependent variable.
This is just simple deduction, because the grass grows through time, it doesn't happen in the opposite way, time doesn't change accoring to the height of the grass.
Both 3x and 9 are a multiple of 3, so we can factor out a 3:
3x + 9 = 3 (x + 3)
