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2 answers:
Answer:
Step-by-step explanation:
5y - 4 ≤ –5⅔
+ 4 + 4
__________
Whenever you divide\multiply by a negative, you reverse the inequality symbol.
* Use the zero-interval test [test point (0, 0)] to determine whether we shade the opposite portion [the portion that does not contain the origin] or the portion that DOES contain the origin. This is where we verify the inequality as false or true:
This is a false statement, so we shade the opposite portion of the line.
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Answer:
a)
b)
c)
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".
Part a
Let X the random variable that represent the thickness of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using excel or the normal standard table:
Part b
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using excel or the normal standard table:
Part c
And we can find this probability using excel or the normal standard table liek this: