Simplify. x^3 ÷ x^5
2 answers:
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Answer:
c. approximately 90.07%
Step-by-step explanation:
We need to calculate z-statistic of 30 inches of rain in the normal distribution with an average of 35.4 inches of rain each year, and a standard deviation of 4.2 inches.
z score can be calculated using the formula
z= where
- X =30 inches of rain
- M is the average rain in inches (35.4)
- s is the standard deviation (4.2)
using the numbers we get z= ≈ −1,286
Then percentage of years does Ithaca get more than 30 inches of rain is
P(z>-1.286) =1- P(z<-1.286)=1-0.0993 ≈0.9007 or 90.7%
First we compute the distance between the center and the given point which is exactly the radius
r =
Now that we know the center and the radius, we can write the equation of a circle with given radius and center:
where (h,k) represent the coordinates of the center (3,7).
We substitute and obtain