X is the easy one to solve here. A triangle must have 180 degrees. Add 90 to 38 and subtract that value from 180. This results in x = 52 Degrees. Y is a little bit more difficult. Because The two lines are parallel, Angle CDB is equal to the angle just above y-12. That angle is equal to x, in other words. This angle and y-12 must equal 180 when they are added together, as this is the value for degrees of a line. So, 180= (y-12) + 52. Just solve this algebraically, and is should result in y = 140 degrees.
Tldr: y = 140, x= 52
Thanks for your question!
We know the third angle in the triangle is 65 because it is a linear pair. We also know that all the angles in a triangle adds up to 180. So:
4k + 5 + 6k + 10 = 180 - 65
10k + 15 = 115
10k = 100
k = 10
Hope this helped!
Answer:
Step-by-step explanation:
its not b i just did it
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