What does 8 yards equal in inches
1 answer:
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Answer:
a) Figure attached
b)
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 with this difference:
An we know using the graph in part a that this area correspond to 0.95 or 95%
c)
And we can find this probability with this difference:
An we know using the graph in part a that this area correspond to 0.95 or 34+34+13.5+2.35%=83.85%
d)
And using the z score we got:
And that correspond to approximately 0.15%
Step-by-step explanation:
Part a
For this case we can see the figure attached.
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 b
Let X the random variable that represent the length of human pregnancy of a population, and for this case we know that:
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 with this difference:
An we know using the graph in part a that this area correspond to 0.95 or 95%
Part c
And we can find this probability with this difference:
An we know using the graph in part a that this area correspond to 0.95 or 34+34+13.5+2.35%=83.85%
Part d
We want this probability:
And using the z score we got:
And that correspond to approximately 0.15%
9514 1404 393
Answer:
g(x) = (x -3)² -6
Step-by-step explanation:
You know that a function f(x) is translated h units to the right when x is replaced by x-h.
g(x) = f(x-h) . . . . . translated h units right
You also know that a function f(x) is translated k units up when k is added to the function value.
g(x) = f(x) +k . . . . . translated k units up
__
Here, we want to translate f(x) 3 units right and 6 units down. Using the above relations, we will get ...
g(x) = f(x -3) -6
Using the given definition of f(x), this becomes ...
g(x) = (x -3)² -6
