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:


<u>m/96 = 5/8</u>
Multiply each side by 96 .
Then you will have <em>m = 480/8</em> .
This is the true value of 'm', but you may want to simplify it
to make it look prettier.
Answer:
Your previous grades must have been really high and messed up your average once you failed, bringing your grade down a lot.
Step-by-step explanation:
<u><em>Answer:</em></u>
D. 60
<u><em>Explanation:</em></u>
<u>The general form of the quadratic equation is:</u>
ax² + bx + c = 0
<u>The given equation is:</u>
3x² + 6x = 2
This can be rewritten as:
3x² + 6x - 2 = 0
<u>By comparison, we can find that:</u>
a = 3
b = 6
c = -2
<u>Now, the discriminant of a quadratic equation is given by:</u>
b² - 4ac
<u>Substitute with the given values to get the discriminant for the given equation as follows:</u>
b² - 4ac = (6)² - 4(3)(-2)
= 36 - (-24)
= 36 + 24
= 60
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