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Physics (Newtonian Mechanics)
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Question:

A ball is dropped from 1 meter off the ground. Ignoring air resistance how long will it take to hit the ground?

Known: Acceleration due to gravity is 9.81 m/s/s. Height is 1 meter. x=1 xo=0 x=xo + .5at^2. Is the equation governing acceleration and distance. 1=.5(9.81)t^2. 4.905=t^2 t=sqrt(4.905)=2.22

Pre-Calculus
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Question:

A right triangle has a hypotenuse of 6, units do not matter here. The two now right angels are 60 and 30 degrees. What is the length of the line opposing the 60-degree corner?

We know that the sin of an angel is the opposite divided by the hypotenuse. We know sin(60)=x/6. The answer is then 6*sin(60).

Statistics
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Question:

What is the probability of flipping a coin 3 time and getting 3 heads in a row? The equal probability of heads and tails. i.e. 50/50

The probability of getting heads any single time is .5. The three events are independent of each other. The previous result(s) do not affect the next. The answer is then .5*.5*.5=.125

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