Answer:
x=2, y=1. (2, 1).
Step-by-step explanation:
y=3x-5
6x+3y=15
-----------------
6x+3(3x-5)=15
6x+9x-15=15
15x-15=15
15x=15+15
15x=30
x=30/15
x=2
y=3(2)-5=6-5=1
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
- 10x - 5 + 5x
- 10x + 5x - 5
-5x-5
Answer:
8.2
Step-by-step explanation:
When you calculate it by 100, there are two zeros, so you move two decimals to the right.
This makes 8.2, and 8.2 will be the answer.
Another example could be... 0.082✖️10.
In this case, there is 1 zero, so you move the decimal to the right once, making it 0.82.
Hope this helps!!!
A) 22
4 (22) + 6
88 + 6 = 94
B) 23
4 (23) + 6
92 + 6 = 98
C) 24
4 (24) = 96
96 + 6 = 102
So the answer is B because it is the highest value that can be put into the equation without raising the number to above 100
