Statistics from cornell's northeast regional climate center indicate that ithaca, ny, gets an average of 35.4 inches of rain each year, with a standard deviation of 4.2 inches.
during what percentage of years does ithaca get more than 30 inches of rain?
a. approximately 10.03%
b. approximately 10.95%
c. approximately 90.07%
d. approximately 5.82
e. approximately 94.18%

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

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%

imma say 16%. sorry if its wrong. i'm doing the same stuff right now

step-by-step explanation:

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,