Answer:


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 grade points avergae of a population, and for this case we know the following properties
Where
and
The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ). Broken down, the empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).
So we can find the z score for the value of X=3.44 in order to see how many deviations above or belowe we are from the mean like this:

So the value of 3.44 is 2 deviations above from the mean, so then we know that the percentage between two deviations from the mean is 95% and on each tail we need to have (100-95)/2 = 2.5% , because the distribution is symmetrical, so based on this we can conclude that:

Answer:
Assuming you're referring to the sides of a right triangle, the missing side X would be 12.
Step-by-step explanation:
The Pythagorean Theorem states that the two legs of a right triangle squared and added together is equal to the hypotenuse squared.
is 169,
is 25, 169 - 25 = 144. Take the square root of 144 and you'll get 12, which is the missing side of the right triangle.
Answer:
A
Step-by-step explanation:
sin 214 = -0.5591
tan 214 = 0.6745
cos 214 = -0.8290
Answer:
The answer to your question is slope = 0; y = -2
Step-by-step explanation:
Data
A (-2, -2)
B (2, -2)
Process
1.- Calculate the slope
m = (-2 - (-2)) / (2 - (-2))
m = ( -2 + 2) / (2 + 2)
m = 0/4
m = 0
2.- The equation of the line is
y - y1 = m(x- x1)
y - (-2) = 0(x - (-2))
y + 2 = 0
y = -2