Answer:
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 the complement rule and with the normal standard distribution table:
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 lenghts 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 the complement rule and with the normal standard distribution table:
2y+6x=0
-6x from both sides
2y=-6x+0
then divide by 2 to each side so it looks like this 2y/2=-6x+0/2
the 2 cancels 2y so you're left with y
Then divide -6/2=-3 and 0/2=0
y=-3x+0
Does that answer your question?
Answer:
Step-by-step explanation:
The lines will be parallel if corresponding angles are congruent (z=x) or if adjacent interior angles are supplementary (x+y=180°).
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The other relations can be true without forcing the lines to be parallel.
Answer:
1 min and 20 second for one page
Step-by-step explanation:
25/30 = 1 R 5
5*60 second equal 300 second
300/25 equal 20 for page.
1 min add 20 seconds equal 1 min 20 second per page.