Answer:
n + 6.2
Step-by-step explanation:
Increased here means addition, addition of 6.2 with the number n.
Answer: C. Infinite
Explanation: (To explain this answer, I'll use 1 = 1) When you get 1 = 1 after doing an equation, this mean the answer is "all real numbers", which is the same term as "infinite" because it will always be true. Therefore, 0 = 0 will always be a true statement.
You would need two different lines to complete this as lines cannot be both parallel and perpendicular (these are opposites). The answers would be:
Parallel: x = 2
Perpendicular: y = -2
In order to find these, we first need to see that the original line of x = -1 is a horizontal line. Therefore, any line that is parallel should be horizontal as well. To get a horizontal line through the point (2, -2), the only option is x = 2.
Similarly, with the perpendicular line, if the original line is horizontal, the new line must be vertical. The only vertical line that goes through (2, -2) is y = -2.
<u>Picture 1:</u>
To figure this out, notice the pattern happening on x. It's simply counting to four, so the first blank is 1 and the next is 2.
The y coordinates seem to be going up by 9. 27 plus 9 is 36, so the answer to the fourth box is 36.
Another way to see how this is correct is to notice that the x is multiplying by 9 to get y. It works out as you look at it and plug it in!
<u>Picture 2:</u>
Yes, this is a proportional relationship. Since Dennis is adding 3 logs every hour, it is keeping a consistent pattern.
<u>Picture 3:</u>
If Jane is driving 60 miles per hour, the first hour she would've gone 60 miles. After a second hour, she would've gone 120 miles. Multiply 60 to your x coordinates to figure this out. You should get 60, 120, 180, and 240 for each box.
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.
