Answer:
48 mph
Step-by-step explanation: Add 42mph and 54 mph and you get 96. To find the average of the two --- divide 96 by 2 and you get 48mph as the average speed for the entire trip.
In other words, the event<span> has no effect on the probability of another </span>event<span> occurring. </span>Independent events<span> in probability are no different from </span>independent events<span> in real life. ... When two </span>events<span> are </span>independent<span>, one </span>event does not influence the probability of another event<span>.</span>
We will use double angle identities:
cos (5x ) = sin (10x )
cos (5x ) = 2 cos (5x ) sin ( 5x )
cos ( 5 x) - 2 cos ( 5 x ) sin ( 5x ) = 0
cos ( 5 x ) · [ 1 - 2 sin (5 x) ] = 0
cos ( 5 x ) = 0 or : 1 - 2 sin (5 x) = 0
5 x = π/2 +kπ, k∈Z sin (5 x) = 1/2
x1 = π/10 + kπ/5 5 x = π/6+2kπ , k∈ Z
5 x = 5π/6 +2kπ , k∈ Z
x 2 = π/30 +2kπ/5
x 3 = π/9 + 2kπ/5
Should be 1/4 to my knowledge.
