Hello,
The answer to this problem is, C.
4 minus the quotient of a number and 3
Hope this helps!
Answer:
The parallel line should be y = 2x + 7
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.
Answer:
93,500,000
Step-by-step explanation:
Rounding rule:
1) If the digit directly next to the one you are finding is 5 or greater, round up.
2) If the digit is 4 or less, round down.
Note the hundred thousands place value (underlined and bolded):
93,<u>4</u>87,991
Look at the digit value directly next to the place value you are looking for. The value of the digit is 8. Because 8 is greater then 5, round up:
93,487,991 rounded to the nearest hundred thousand is 93,500,000.
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