That is a 30 60 90 triangle.
Read about those here: http://www.1728.org/trig2.htm
Answer:
36cm^2
Step-by-step explanation:
4cm×9cm=36cm^2
Apply Pythagoras:
length = sqrt( (10--4)² + (6-3)² ) = sqrt(205)
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:
A
Step-by-step explanation:
One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.