A parent function is the function from which all similar functions can be derived.
The given function f(x) = - 3x + 2 is a linear function, so its parent function must have to be a linear function.
The parent linear function is f(x) = x
Note that you can derive the above function from x by first multiplying it with -3 and then adding 2.
So the correct option is option C
There are three different choices for the American.
There are 16 different choices for the first non-American and 15 different choices for the other non-American.
So, there are 3 x 16 x 15 different groups.
But, order is important -- who gets the gold, who gets the silver, and who gets the bronze -- there are 6 different ways to arrange the 3 winners (3! = 6).
Thus, there are 6 x 3 x 16 x 15 different results.
Complete question :
a. Of less than$720?
b. Of more than $840?
c. Between $680 and $760?
Answer:
0.500 ; 0.0013 ; 0.6827
Step-by-step explanation:
Given that :
Mean, μ = 720
Standard deviation, σ = 40
P(Z < x)
x = (x < 720)
Obtain the standardized value of x
P(x < 720) = (x - μ) / σ
P(x < 720) = (720 - 720) / 40
P(x < 720) = 0
P(Z < 0) = 0.5
B.) More than $840
P(x > 840)
P(x > 840) = (x - μ) / σ
P(x > 840) = (840 - 720) / 40
P(x > 840) = 120 / 40 = 3
P(Z > 3) = 0.0013499 (Z probability calculator)
c. Between $680 and $760?
P(760 < x < 680)
P(760 < x < 680) = ((x - μ) / σ) - ((x - μ) / σ)
P(760 < x < 680) = ((760 - 720) / 40) - (680 - 720) / 40)) = P( Z < - 1) - P(Z < - 1)
P(680 < x < 760) = 0.84134 - 0.15866 = 0.68268
Answer:
should be 82%
Step-by-step explanation:
Hope this helps!
