To find this, you'll want to divide the amount of music by the total amount of time. 29/(9+12+29) = 29/50 = 58/100 = 58%
Given:
Octagon-shaped patio
Side length = 24ft
apothem length = 60ft
Area of a regular octagon = 2 * a² * (1 + √2)
a = side length
A = 2 * (24ft)² * (1 + √2)
A = 2 * 576ft² * (1 + 1.414)
A = 2 * 576ft² * 2.414
A = 2,780.93 ft²
Answer:
Z-score = 1.18
Step-by-step explanation:
The z-score measures how many standard deviations from the mean a data is
Therefore the z score is the quotient between the difference between a value and the mean and the standard deviation
Where
μ is the mean, x is a data of the population and 
is the standard deviation
In this case
Then the z-score is
Answer:
30 degrees
Step-by-step explanation:
u dot v=1*4+1*4+1*4+0*4=4+4+4+0=12
|u|=sqrt(1^2+1^2+1^2+0^2)=sqrt(3)
|v|=sqrt(4^2+4^2+4^2+4^2)=sqrt(4*4^2)=2*4=8
cos(theta)=u dot v/(|u||v|)
cos(theta)=12/(sqrt(3)*8)
cos(theta)=3/(sqrt(3)*2)
cos(theta)=sqrt(3)/2
theta=30 degrees
