Answer:
Length = Width * 3
Width = 2 ft
Length = 2 ft * 3 = 6 ft
Perimeter = (L * 2) + (W * 2)
P = 16 ft
Area = L * W = 12 square feet
Looks like a badly encoded/decoded symbol. It's supposed to be a minus sign, so you're asked to find the expectation of 2<em>X </em>² - <em>Y</em>.
If you don't know how <em>X</em> or <em>Y</em> are distributed, but you know E[<em>X</em> ²] and E[<em>Y</em>], then it's as simple as distributing the expectation over the sum:
E[2<em>X </em>² - <em>Y</em>] = 2 E[<em>X </em>²] - E[<em>Y</em>]
Or, if you're given the expectation and variance of <em>X</em>, you have
Var[<em>X</em>] = E[<em>X</em> ²] - E[<em>X</em>]²
→ E[2<em>X </em>² - <em>Y</em>] = 2 (Var[<em>X</em>] + E[<em>X</em>]²) - E[<em>Y</em>]
Otherwise, you may be given the density function, or joint density, in which case you can determine the expectations by computing an integral or sum.
1. 950
2. 608
3. 1,976
4. 2,698
5. 1,216
Answer:
see below
Step-by-step explanation:
Assuming s and t are parallel
The two angles are same side interior angles and same side interior angles add to 180 when the lines are parallel
4x-12 + 120 = 180
4x -12 = 60
4x = 72
x = 18
That means 4x -12 = 4(18) -12 = 60
Vertical angles are equal. Alternate interior angles are equal. Alternate exterior angles are equal. All pink dot angles are equal.
Pink dots are 60 degrees
All blue lines are equal. They are 120 degrees
