Yes 45/45 = 1 +10 = 11
13 > 11
The two requirements for a proportional relationship are: The ratio of the two variables maintain the same ratio.
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
Answer:
52 / 8 = 6 with a remainder of 4
Step-by-step explanation:
<h2><u>EQUATIONS</u></h2>
We'll solve this equation:
<h3>5x + 17 = 4(3x - 1)</h3>
First, let's apply the distributive property:
5x + 17 = 4(3x - 1)
5x + 17 = 12x - 4
Now, add 4 to both sides of the equation:
5x + 17 = 12x - 4
5x + 17 + 4 = 12x - 4 + 4
5x + 21 = 12x
Substract 5x from both sides:
5x + 21 = 12x
5x - 5x + 21 = 12x - 5x
21 = 12x - 5x
21 = 7x
Now, divide both sides by 7
21 ÷ 7 = 7x ÷ 7
<h3> 3 = x</h3>
Therefore, x = 3.
<h3>B. The equation has one solution.</h3>
