The function d(s) = 0.0056s squared + 0.14s models the stopping distance
1 answer:
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.
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The proportion is 0.4401.
We find z-scores that correspond with both ends of this interval. Z-scores are given using the formula:
For the lower end,
The proportion of scores to the left of this number is 0.2514.
For the higher end, the z-score is
The proportion of scores to the left of this number is 0.6915.
To find just the proportion of scores between these two, we subtract;
0.6915-0.2514 = 0.4401.
We find z-scores that correspond with both ends of this interval. Z-scores are given using the formula:
For the lower end,
The proportion of scores to the left of this number is 0.2514.
For the higher end, the z-score is
The proportion of scores to the left of this number is 0.6915.
To find just the proportion of scores between these two, we subtract;
0.6915-0.2514 = 0.4401.