8.82 / 52.5
0.168
so 16.8% of 52.5 is 8.82
To determine the total distance traveled by an object in constant speed, just multiply the speed by the time. So, for the car, the total distance traveled is,
distance by car = (20 m/s)(5s) = 100 m
For decelerating object, the distance traveled is,
distance = Vt - (at^2)/2
For the truck,
distance by truck = (20 m/s)(10s) - (2m/s^2)((10s)^2)/2 = 100 m
Relatively, both have traveled the same distance.
Answer:
a) 1/64
b) 1/4096
Step-by-step explanation:
As you can tell from the example, the exponent of 1/2 is the number of heads in a row.
a) p(6 heads in a row) = (1/2)^6 = 1/(2^6) = 1/64
b) p(12 heads in a row) = (1/2)^12 = 1/(2^12) = 1/4096
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<em>Additional comment</em>
The probability of a head is 1/2 because we generally are concerned with a "fair coin." That is defined as a coin in which each of the 2 possible outcomes has the same probability, 1/2. Similarly, a "fair number cube" has 6 faces, and the probability of each is defined to be the same as any other, 1/6. Loaded dice and unfair coins do sometimes show up in probability problems.
