Answer:
The probability of the temperature exceeding 65 degrees Fahreneit but not needing a rolling blackout is 0.4- Hence, there is a 40% chance.
Step-by-step explanation:
Lets call F the event 'the temperature will exceed 85 degrees Fahrenheit' and B the event 'a blackout will be needed'.
We want P(F ∩ B^c), note that if F happens, there could be 2 disjoint possible events: B or B^c, hence
P(F) = P(F ∩ B) + P(F ∩ B^c)
Hence
P(F ∩ B^c) = P(F) - P(F ∩ B) = 0.6 - 0.2 = 0.4
Answer:
y³+y²-30y=0
Step-by-step explanation:
(y-0)(y+6)(y-5)=0
y(y+6)(y-5)=0
y(y²-5y+6y-30)=0
y³+y²-30y=0
Step-by-step explanation:
Since they want to prove that ABCD is a square, you only need to know the lengths of two adjacent sides.
Distance formula: d = 
(x2 - x1)^2 + (y2 - y1)^2
A: (3, 4) B: (2, -2) C: (-4, -1) D: (-3, 5)
Distance of AB where A = (x1, y1) and B = (x2, y2)
d = (2 - 3)^2 + (-2 - 4)^2
d = (-1)^2 + (-6)^2
d = 1 + 12
d = 13
Distance of CB where B = (x1, y1) and C = (x2, y2)
d = (-4 - 2)^2 + (-1 - (-2))^2
d = (-6)^2 + (1)^2
d = 12 + 1
d = 13
Since dAB = dCB, therefore quadrilateral ABCD is a square.
Use the form a sin (
b
x
−
c
)
+
d to find the amplitude, period, phase shift, and vertical shift.
Amplitude:
100
Period: π / 25
Phase Shift: 2
/5 ( 2
/5 to the right)
Vertical Shift: 0
