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Answer:
The car must have a speed of 25 kilometres per hour to stop after moving 7 metres.
Step-by-step explanation:
Let be , where
is the stopping distance measured in metres and
is the speed measured in kilometres per hour. The second-order polynomial is drawn with the help of a graphing tool and whose outcome is presented below as attachment.
The procedure to find the speed related to the given stopping distance is described below:
1) Construct the graph of .
2) Add the function .
3) The point of intersection between both curves contains the speed related to given stopping distance.
In consequence, the car must have a speed of 25 kilometres per hour to stop after moving 7 metres.
Part A:
Given that <span>A presidential candidate plans to begin her campaign by visiting the capitals in 4 of 50 states.
The number of ways of selecting the route of 4 specific capitals is given by
Therefore, the probability that she selects the route of four specific capitals is
Part B:
</span>
<span>The number of ways of selecting the route of 4 specific capitals is 5,527,200.
Since </span><span>the number of ways of selecting the route of 4 specific capitals is too large it is not practical to list all of the different possible routes in order to select the one that is best.
Therefore, "</span><span>No, it is not practical to list all of the different possible routes because the number of possible permutations is very large."</span>
Given that <span>A presidential candidate plans to begin her campaign by visiting the capitals in 4 of 50 states.
The number of ways of selecting the route of 4 specific capitals is given by
Therefore, the probability that she selects the route of four specific capitals is
Part B:
</span>
<span>The number of ways of selecting the route of 4 specific capitals is 5,527,200.
Since </span><span>the number of ways of selecting the route of 4 specific capitals is too large it is not practical to list all of the different possible routes in order to select the one that is best.
Therefore, "</span><span>No, it is not practical to list all of the different possible routes because the number of possible permutations is very large."</span>