Answer:
No solution
Step-by-step explanation:
Given

Required
The solution
The above equation has no solution.
This is because 
In otherwords, the absolute value of a number is always positive.
Answer:
-39, -37, -35
Step-by-step explanation:
3x + 6 = -111
3x = -111 - 6
3x = -117
x = (-117)/3
x = -39
x + 2 = -37
x + 4 = -35
Answer:
14 Cups
Step-by-step explanation:
43 3/4 = 43.75
6 1/4 = 6.25
43.75 % 6.25 = 7 x 2 = 14
Answer: y=5x+7
Step-by-step explanation:
Since we are given the slope, all we have to do is plug in the given point and solve for the y-intercept.
-3=5(-2)+b [multiply]
-3=-10+b [add both sides by 10]
b=7
Now, we know the equation is y=5x+7.
Answer:
μ ≈ 2.33
σ ≈ 1.25
Step-by-step explanation:
Each person has equal probability of ⅓.
![\left[\begin{array}{cc}X&P(X)\\1&\frac{1}{3}\\2&\frac{1}{3}\\4&\frac{1}{3}\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7DX%26P%28X%29%5C%5C1%26%5Cfrac%7B1%7D%7B3%7D%5C%5C2%26%5Cfrac%7B1%7D%7B3%7D%5C%5C4%26%5Cfrac%7B1%7D%7B3%7D%5Cend%7Barray%7D%5Cright%5D)
The mean is the expected value:
μ = E(X) = ∑ X P(X)
μ = (1) (⅓) + (2) (⅓) + (4) (⅓)
μ = ⁷/₃
The standard deviation is:
σ² = ∑ (X−μ)² P(X)
σ² = (1 − ⁷/₃)² (⅓) + (2 − ⁷/₃)² (⅓) + (4 − ⁷/₃)² (⅓)
σ² = ¹⁴/₉
σ ≈ 1.25