Answer:
45 km
Step-by-step explanation:
Let's review the scale factor of this problem.
1 cm = 10 km
This means that for every 1 cm of distance on the map, 10 km is represented in the real world. Because of this, we know that dividing the actual distance by 10 will give us the distance on the map.
Ex. 40 km in real world = 4 cm on map
So, we will use d to represent the actual distance.
d=distance in real world
Then, we will divide d by 10 and set it equal to 4.5, because that's the distance on the map.
d/10 = 4.5
Now to solve this equation, we just have to multiply both sides by 10.
d=45
This is your answer.
1/2 is the probability the coin would land heads up both times.
The normal rule to remember is 68-95-99.7, i.e. plus or minus three sigma corresponds to 99.7% of the probability. That leaves 0.3% in the two tails, or 0.15% in the tail above 3 sigma.
Answer: 0.15%
