The movie is called "Home Invasion".
Here's the plot of the movie:
Chloe Paige (Natasha Henstridge) and her stepson Jacob (Liam Dickinson) live in an isolated mansion in an island. Chloe's husband is traveling and she does not know his whereabouts. One stormy night, Chloe is drinking wine with her friend Alice (Johannah Newmarch) when a car arrives and Alice believes they are strangers needing information. When she leaves the house, she is murdered by a masked man. Chloe closes the front door and calls the police and the home security company. However the police can not cross the bridge that was damaged by the criminals. Meanwhile the trio of criminals breaks in Chloe's house. The security agent Mike (Jason Patric) uses the security cameras to advise Chloe where to hide. The trio is looking for a safe and for Chloe while she is hidden with Jacob. Will the police arrive in time to save Chloe and Jacob?
2 1/2 = 5/2
3 2/3 = 11/3
5/2 x 11/3 = 55/6
55/6 = 9 1/6
Hope it helped.
<span>b. (0.035)(50,000) + (0.065)(31,500)</span>
Answer:
p=0.05882
Step-by-step explanation:
Probability is the likelihood of an event occurring.
-A standard deck of cards has 4 kings.
#After one card is removed, 51 remains of which 3 are kings:
Hence, the probability that the second card is king is 0.05882
Write the left side of the given expression as N/D, where
N = sinA - sin3A + sin5A - sin7A
D = cosA - cos3A - cos5A + cos7A
Therefore we want to show that N/D = cot2A.
We shall use these identities:
sin x - sin y = 2cos((x+y)/2)*sin((x-y)/2)
cos x - cos y = -2sin((x+y)/2)*sin((x-y)2)
N = -(sin7A - sinA) + sin5A - sin3A
= -2cos4A*sin3A + 2cos4A*sinA
= 2cos4A(sinA - sin3A)
= 2cos4A*2cos(2A)sin(-A)
= -4cos4A*cos2A*sinA
D = cos7A + cosA - (cos5A + cos3A)
= 2cos4A*cos3A - 2cos4A*cosA
= 2cos4A(cos3A - cosA)
= 2cos4A*(-2)sin2A*sinA
= -4cos4A*sin2A*sinA
Therefore
N/D = [-4cos4A*cos2A*sinA]/[-4cos4A*sin2A*sinA]
= cos2A/sin2A
= cot2A
This verifies the identity.
