Answer:
<em>Width</em>: 3y²
<em>Length</em>: 4 + 7y³
Step-by-step explanation:
The area of the rectangle is the length multiplied by the width. For the area given: 12y² + 21y⁵
12y² = 3y²*4
21y⁵ = 3y²*7y³
So, the greatest common monomial factor is 3y², which is the width.
The area is 3y²*(4 + 7y³), the first term is the width, the other must be the length: 4 + 7y³.
Total number of cards = 52
Total number of face cards = 12
P( 5 face cards) = (12/52)(11/51)(10/50)(9/49)(8/48) = 33/108290
Answer: 33/108290
Answer:
Step-by-step explanation:
6x+9=63
6x=63-9
6x=54
x=54/6
x=9
I encourage you to figure out the justification yourself.
Mean:
E[Y] = E[3X₁ + X₂]
E[Y] = 3 E[X₁] + E[X₂]
E[Y] = 3µ + µ
E[Y] = 4µ
Variance:
Var[Y] = Var[3X₁ + X₂]
Var[Y] = 3² Var[X₁] + 2 Covar[X₁, X₂] + 1² Var[X₂]
(the covariance is 0 since X₁ and X₂ are independent)
Var[Y] = 9 Var[X₁] + Var[X₂]
Var[Y] = 9σ² + σ²
Var[Y] = 10σ²
Answer:
x = 6 and x = -6
Step-by-step explanation:
