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:
Algebraically, linear functions are a two parameter family. The parameter a is called the function's y-intercept and the parameter b is called the slope. Together, they completely determine a linear function's input-output behavior. Notice that f(0) = a : The y-intercept is the output when the input is 0.
Answer:
a. She ran 7 days
b. 5 miles
Step-by-step explanation:
a. The line plot shows how many miles Katrina ran last week not days however on the line plot there are 7 x's on it, if she ran once a day, then she ran 7 days last week
b. I'm not sure which equation that you would use but I done something similar to this:
1/4 + 1/2(2) + 3/4 + 1(3)=5
The average speed is obtained by finding the slope of the function in the given interval:

Substituting values we have:

Rewriting:


Then, the generic equation of the line is:

Where,
v: average speed (slope of the line)
(t0, n0): ordered pair that belongs to the line.
Substituting values we have:

Answer:
the average speed of the car is:
b. 0.75
an equation of the line is:
b. n-6= 0.75(t-8)