Given that mean=56.1 and standard deviation=8.2, P(x>67.5) will be found as follows:
The z-score is given by:
z=(x-μ)/σ
thus the z-score will be given by:
z=(67.5-56.1)/8.2
z=11.4/8.2
z=1.39
thus
P(z=1.39)=0.9177
thus:
P(x>67.5)=1-P(z>0.9177)
=1-0.9177
=0.0823
Answer: A. 0.0823
Answer: 5 (x > 12) or 5 + m(12 - x) (x < 12)
Step-by-step explanation:
flat fee $5 for first x days +
m dolars per day after x days
So, if x > 12, for 12 days the fee is $5 because it is a flat fee that do not depend of the numbers of day.
But, we do not know how many days x is, so
if x < 12, a person will pay, for 12 days, the m times the difference of the days passed x:
5 + m(12-x)
Sum of angles of a triangle = 180°
91 + 10x - 4 + 8x +3 = 180
18x + 90 = 180
18x = 90
x = 5°