Find the indicated probability. Round your answer to 6 decimal places when necessary.In January in a certain city the unconditional probability of rain on any given day of the month is 0.400. But the probability of rain on a day that follows a rainy day is 0.600 and the probability of rain on a day following a nonrainy day is 0.250. Find the probability of rain on three randomly selected consecutive days in January.
A. 0.064
B. 0.216
C. 0.090
D. 0.144
Answer: D
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Express the area of the region bounded by the given line(s) and/or curve(s) as an iterated double integral.The curve 
and the lines 
and 
A. 
B. 
C. 
D. 
Find the maximum and minimum values of the function and the values of x and y for which they occur.Q = 2x + 5y, subject to3x + 2y ? 6,-2x + 4y ? 8,x ? 0,y ? 0.
A. Maximum: 12
when x = 
and y = 
; minimum: 4 when x = 2 and y = 0
B. Maximum: 10 when x = 0 and y = 2; minimum: 0 when x = 0 and y = 0
C. Maximum: 13
when x = 
and y = 
; minimum: 0 when x = 0 and y = 0
D. Maximum: 12
when x = 
and y = 
; minimum: 0 when x = 0 and y = 0
Determine whether the pair of lines is parallel, perpendicular, or neither.y = 
x + 2y = - 
x + 5
A. parallel B. perpendicular C. neither
Find the equation of the line tangent to the graph of the function at the indicated point.f(x) = x - x2 at (-4, -20)
A. y = -9x + 16 B. y = 9x + 16 C. y = -7x - 16 D. y = -7x + 16