A sample of 100 cars driving on a freeway during a morning
1 answer:
Answer:
a) mean = 1.42 occupant/car
b) standard deviation = 0.89 occupants
c) median = 1 occupant
d) The proportion of cars had more than the mean number of occupants is 0.24
e) The proportion of cars with the number of occupants more than one
standard deviation greater than the mean is 0.11
f) The proportion of cars with the number of occupants within one standard
deviation of the mean is 0.89
Step-by-step explanation:
Attached work:
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x = - 1
given = x + 3
square both sides
1 - 3x = (x + 3 )² ( expand right side using FOIL )
1 - 3x = x² + 6x + 9 ( subtract 1 - 3x from both sides )
0 = x² + 9x + 8
0 = ( x + 1)(x + 8)
equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = -1
x + 8 = 0 ⇒ x = - 8
As a check
substitute these values into the equation and if both sides are equal then they are the solutions
x = - 1 : = 2 and - 1 + 3 = 2 ← true
x = - 8 : = 5 and - 8 + 3 = -5 ← false
thus the only solution is x = - 1