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Answer:
<h2> $1945</h2>Step-by-step explanation:
Let X be the normal distribution
Kindly find attached a detailed annotation of the solution to the problem.
in the attached document, we found the value that corresponds to 80th percentile, hence we found the value such that the probability that the variable x is lower than this value is 0.8.
Also, from the calculation, we found that the value which corresponds to the 80th percentile is $1945
Answer:
C
Step-by-step explanation:
ley y = f(x) and rearrange making x the subject
y = - 1 ( add 1 to both sides )
y + 1 = ( multiply both sides by (x + 5)
(y + 1)(x + 5) = 1 ← expand factors using FOIL
xy + 5y + x + 5 = 1 , that is
xy + x + 5y + 5 = 1 ( factor first/second and third/fourth terms on left side )
x(y + 1) + 5(y + 1) = 1 ← factor out (y + 1) from each term on left side
(y + 1)(x + 5) = 1 ( divide both sides by (y + 1) )
x + 5 = ( subtract 5 from both sides )
x = - 5
Change y back into terms of x with x = (x) , then
(x) =
- 5 where x ≠ - 1
The subtraction theorem states that for all real numbers, 
and 
, 
.
(To subtract, we can add the inverse.)
Thus, we can have the these two equivalent expressions.
(To subtract, we can add the inverse.)
Thus, we can have the these two equivalent expressions.