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: it is linear because no bumps.
Step-by-step explanation:
Answer:
40- 40
Step-by-step explanation:
hope this helps.
Answer:
a. 0.0000009 m
b. 6,130, 000, 000
c. 100,000 light years
d. 0.00001 mm
e. 0.0000010 kg
Step-by-step explanation:
Here, we want to come from the standard form to the decimal form
In doing this, we consider the power of 10 attached
If negative, we count leftwards, if positive, we count right-wards
The number of times we count is the power of 10 attached. The count means we are moving the decimal point
For numbers with out visible decimal point, it is at the back of the most right-ward number
Thus, we have these as;
a. 9 * 10^-7
= 0.0000009 m
b. 6.130 * 10^9
= 6,130, 000, 000
c. 1 * 10^5
= 100,000 light years
d. 1 * 10^-5 mm
= 0.00001 mm
e. 10^-7
= 0.0000010 kg
Using slope formula, the slope will be 1/6