For 3x + 12 + x, do like terms:
4x + 12
For 4(3 + x), multiply
12 + 4x
They are both the same, just written in different ways. One is adding like terms and the other is multiplying with parentheses. Even though it may be switched around, it is still the same.
Hope this helps :)
Answer:
Step-by-step explanation:
12x²-9x = 0
3x(4x-3)=0
4x-3=0
4x=3
x=3/4
so either x = 0 or x = 3/4
First;
-8≤2x-4
-4≤2x
-2≤x
Then;
2x-4<4
2x<8
x<4
-2≤x<4
C is the correct answer.
Answer:
Where the mean and the deviation
Since the distribution for X is normal then we can conclude that the distribution for the sample mean is given by:
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 variable of interest of a population, and for this case we know the distribution for X is given by:
Where the mean and the deviation
Since the distribution for X is normal then we can conclude that the distribution for the sample mean is given by: