After collecting the data, Christopher finds that the total snowfall per year in Reamstown is normally distributed with mean 94 inches and standard deviation 14 inches. What is the probability that, in a randomly selected year, the snowfall was greater than 52 inches?

0.9987

Step-by-step explanation:

Using Z score formula

z = (x-μ)/σ, where

x is the raw score = 52 inches

μ is the population mean = 94 inches

σ is the population standard deviation = 14 inches

z = 52 - 94/14

z =-3

Probability value from Z-Table:

P(x<52) = 0.0013499

P(x>52) = 1 - P(x<52)

P(x>52) = 1 - 0.0013499

= 0.99865

Therefore, the probability that, in a randomly selected year, the snowfall was greater than 52 inches is approximately 0.9987

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.