Answer:
Equation of the parabola: or
Vertex form:
Intercept form:Step-by-step explanation:
2(z-10)=-4
2z-20=-4
2z=16
z=8
Answer:
Mean = 910.2
Standard deviation = 12.8
Step-by-step explanation:
82% over the age of 25 are high school graduates.
A survey randomly selected students of certain country included 1110 who were over the age of 25 and 871 of them were high school.
n = 1110
p = 82% = 0.82
q = 1 - 0. 82
q = 0.18
Mean = np
= 1110*0.82
= 910.2
Standard deviation = √npq
= √ 1110*0.82*0.18
=√163.836
= 12.8
The formula in solving the length of an arc is shown below:
Length of an Arc = 2pi*r (central angle/360°)
Central angle = 54pi * (180°/pi)
r = 34 cm
Solving for an arc length"
Arc length = 2*3.14*34((54*180)/360)
Arc length = 5,765.04 cm
The answer is 5,765.04 cm.