Answer and Step-by-step explanation:
The given function is:
F(y) =1 – 1/y2 , 1 ≤ y < ∞
Verify function is valid
Limy->-∞f(y) = Limy->-∞ 0 = 0
Limy->∞f(y) = Limy->∞ 1 – 1/y2
= 1, for y ≤ 1
F(y) = 0 is constant. For y > 1, f”(y) = 2 / y3 > 0
So, function is increasing. Therefore f(y) is cdf.
Probability density function
The probability density function is
F(y) = d/dy f(y) = {(2/y2 if y>1o if y≤1 )}
z = 5(y+1)
F (z) = p (z ≤z) = p (5(y+1) ≤z)
= p(y ≤ (z/5) – 1)
F (z) ={(0 if z≤0 and 1-1/(z/5-1)2 if z>0 )
Answer:
thank you!!! :)
Step-by-step explanation:
Answer:
1) x = 14°, y = 5°
2) x = 18.5°, y = 37°
Step-by-step explanation:
1) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 25°
∠MOD = ∠MOB + ∠BOD = 90°
3x + 23° + 25° = 90°
3x = 90° - 23° - 25°
x = 42°/3
x = 14°
∠LOB = ∠LOM + ∠MOB = 90°
5y + 3x + 23° = 90°
5y = 90° - 23° - 3(14°)
y = 25°/5
y = 5°
2) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 16°
∠EOB = ∠EOD + ∠DOB = 90°
2y + 16° = 90°
y = (90° - 16°)/2
y = 37°
∠DOF = ∠BOF + ∠DOB = 90°
4x + 16° = 90°
x = (90° - 16°)/4
x = 18.5°
The area of a circle is PI x r^2
25PI = PI x r^2
Divide both sides by PI:
25 = r^2
Take the square root of both sides:
Radius = 5 inches.
(7 1/2)/(1 1/2)=5
so there will be 5 shifts per hour.