Police Science To determine the speed that a vehicle was traveling at the time of an accident, police officers carefully measure the lengths of the skid marks left at the scene. There are many factors that determine the skid length, and a quick and simple formula for determining the speed is S = 30 ⋅ L ⋅ d ⋅ e , where S is the speed in miles per hour, L is the skid length in feet, d is the drag factor, and e is the braking efficiency. The following table shows the skid lengths for ten accidents that occurred on a particular stretch of an interstate during icy conditions this past winter: (a) Use the given formula, with d = 0.2 (icy road) and e = 1.0, to calculate the speeds for the given skid lengths and complete the table. (Round to the nearest whole number.) (b) Find the median speed. (c) Find the mean speed. (d) Find the range of the speeds. (e) Find the standard deviation of the speeds.
Police Science To determine the speed that a vehicle was traveling at the time of an accident, police officers carefully measure the lengths of the skid marks left at the scene. There are many factors that determine the skid length, and a quick and simple formula for determining the speed is S = 30 ⋅ L ⋅ d ⋅ e , where S is the speed in miles per hour, L is the skid length in feet, d is the drag factor, and e is the braking efficiency. The following table shows the skid lengths for ten accidents that occurred on a particular stretch of an interstate during icy conditions this past winter: (a) Use the given formula, with d = 0.2 (icy road) and e = 1.0, to calculate the speeds for the given skid lengths and complete the table. (Round to the nearest whole number.) (b) Find the median speed. (c) Find the mean speed. (d) Find the range of the speeds. (e) Find the standard deviation of the speeds.
Solution Summary: The author explains the speed formula for skid lengths for ten accidents that occurred on a particular stretch of an interstate during icy conditions this past winter.
Police Science To determine the speed that a vehicle was traveling at the time of an accident, police officers carefully measure the lengths of the skid marks left at the scene. There are many factors that determine the skid length, and a quick and simple formula for determining the speed is
S
=
30
⋅
L
⋅
d
⋅
e
, where S is the speed in miles per hour, L is the skid length in feet, d is the drag factor, and e is the braking efficiency. The following table shows the skid lengths for ten accidents that occurred on a particular stretch of an interstate during icy conditions this past winter:
(a) Use the given formula, with d = 0.2 (icy road) and e = 1.0, to calculate the speeds for the given skid lengths and complete the table. (Round to the nearest whole number.)
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