Answer:
x = 17
Step-by-step explanation:
75 = 4x + 7
68 = 4x
x = 17
Answer:
Yes; domain: all real numbers; range: y 
0
Step-by-step explanation:
1. Use the vertical line test to see if it is a function.
2. Figure out what the lowest and highest point x can be. In this case x can be any number
3. Figure out what the lowest and highest point of y can be. In this case y is not negative, the lowest it can be is 0. So y 0
*Note: Domain are the x values & Range are the y values
Answer:
6.24 is the answer rounded to the nearest hundreth
We know that the probability density function of a variable that is normally distributed is f(x) = 1/(σ√2π) * exp[1/2 (x – µ). Its inflection point is the point where f"(x) = 0.
Taking the first derivative, we get f'(x) = –(x–µ)/(σ³/√2π) exp[–(x–µ)²/(2σ²)] = –(x–µ) f(x)/σ².
The second derivative would be f"(x) = [ –(x–µ) f(x)/σ]' = –f(x)/σ² – (x–µ) f'(x)/σ² = –f(x)/σ² + (x-µ)² f(x)/σ⁴.
Setting this expression equal to zero, we get
–f(x)/σ² + (x-µ)² f(x)/σ⁴ = 0
Multiply both sides by σ⁴/f(x):
–σ² + (x-µ)² = 0
(x-µ)² = σ²
x-µ= + – σ
x = µ +– σ
So the answers are x = µ – σ and x = µ + σ.
