1. Sin 240 degree = -sin ( 240 -180 degree) = -sin (60 degree)
2. Tan 130 degree = -tan ( 180 - 130 degree) = -tan 50 degree
3. sec 305 degree = sec ( 360 - 305 degree) = sec (55 degree)
4. cos 95 degree = -<span>cos (180 - 95 degree ) = -cos 85 degree</span>
5. csc 185 degree = -sin 5 degree
3/8 divided by 5/8 = 3/5
hope this helps :D
If events A and B are independent,
For mutually exclusive then p(A or B) = p(A) + p(B).
For not mutually exclusive then p(A or B) = p(A) + p(B) - p(A and B)
And: p(A and B) = p(A) * p(B)
Given: <span>p(A) = 0.22 and p(B) = 0.24.
</span>
<span>∴ p(A and B) = p(A) * p(B) = 0.22*0.24 = 0.0528
</span>
If A and B are mutually exclusive
∴ p(A or B) = p(A) + p(B) = 0.22 + 0.24 = 0.46
If A and B are not mutually exclusive
∴ p(A or B) = p(A) + p(B) - p(A and B) = 0.22 + 0.24 - <span>0.0528 = 0.4072
</span>
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note: Two events are mutually exclusive if it is not possible for both of them to occur, which mean the occurrence of one event "excludes" the possibility of the other event.
Answer:
68
Step-by-step explanation:
speed = distance/time
distance = 391 miles
time = 5 h + 45 m = 5.75 h
speed = (391 miles)/(5.75 h)
speed = 68 miles/hour
Answer: In 1 hour, it travels 68 miles.