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:


Answer:
The longest possible values of the other two sides are 7 ft and 14 ft
Step-by-step explanation:
Let one side of the triangle be x and the other, 2x
Perimeter of a triangle = sum of all sides; i.e x+2x+33
Therefore, x+2x+12=33
Solve for x;
3x=33-12
3x=21
Divide both sides by 3; x=21/3
therefore, x=7 and
2x= (2*7) = 14
The longest possible values of the other two sides are 7 ft and 14 ft
Answer: x= 8
Step-by-step explanation:
According to the converse of basic proportionality theorem,
If in ΔABC , DE is a line drawn from AB to AC such that 
then, DE is parallel to the third side BC.
Applying converse of basic proportionality theorem, to get NO parallel to KJ, we must have

Hence, the value of x should be 8, so that Line segment N O is parallel to line segment K J.
Answer:
it calls for shreks help
Step-by-step explanation:
because then he does weird stuff with a dragon