Answer:
Dependent Variable : Tire tread wear ; Independent Variable : Tire Brand ; Confounding Variable : Person driving
Step-by-step explanation:
Dependent Variable is the variable being affected by independent variable(s). Independent Variable(s) are the causal variable, bring change in dependent variable.
Goodrich wants to demonstrate that his tires were better than those of his competitor (Goodyear). For that, he has got conducted an independent research on tires worn quality - brand wise & various factors affecting wear
- Dependent Variable is the 'Tire tread wear '.
- Independent Variables determining it is primarily brand : Goodrich / Goodyear ; secondarily - price, mileage, time etc
Confounding variable is an extraneous influence variable; that changes the relationship between independent & dependent variable, outcome of experimental research.
In this case : Individuals driving the vehicles could be a confounding variable. A particular person could wear out tire more than another person.
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Answer:
The inverse function of f(x) is ... f⁻¹(x) = log (x/9.16)/log (1.0054)
Step-by-step explanation:
Starting equation... f(x) = 9.16(1.0054)ˣ
Visually rewritten... y = 9.16(1.0054)ˣ
Flipping x and y... x = 9.16(1.0054)ʸ
Isolating (1.0054)ʸ... x/9.16 = (1.0054)ʸ
Taking the log of both sides... log (x/9.16) = y log (1.0054)
Isolating y... log (x/9.16)/log (1.0054) = y
Solution... y = log (x/9.16)/log (1.0054)
If the shaded region is the area inside the rectangle but outside the square, then the area is 121-25pi or 42.4602
