1 yard = 3 feet.
Divide total feet by 3 to get yards:
72 feet / 3 = 24 yards.
Answer:
i think 80/3
Step-by-step explanation:
Answer:
Option A. 4, 4.5, 5, 5.5
Step-by-step explanation:
Left point: a=x=4
Right point: b=x=6
Range: r=b-a→r=6-4→r=2
Width of each of the four equal intervals: w=2/4→w=0.5
The first left endpoint is x1=a→x1=4
The second left endpoint is x2=x1+w→x2=4+0.5→x2=4.5
The third left endpoint is x3=x2+w→x3=4.5+0.5→x3=5
The fourth left endpoint is x4=x3+w→x4=5+0.5→x4=5.5
Then, the list is: x1, x2, x3, x4 = 4, 4.5, 5, 5.5
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
The anwser is going to be 6