Since the total measure of all the angles of a triangle is always 180, solve for x with the equation: 3x+1+2x-3+9x=180. x=13. Now plug in x and look for the smallest one, which will be B. 23 degrees.
<u>Answer:</u>
1
you rise 1
then run to the right 1
1/1 = 1
let me know if you need a more in-depth explanation.
Given:
The equation of a quadratic function is:
To find:
The equation of the axis of symmetry for the given function.
Solution:
If a quadratic function is 
, then the equation of the axis of symmetry is:
...(i)
We have,
Here, 
. So, the equation of axis of symmetry by using (i), is
Therefore, the correct option is C.
Answer:
120,000
Step-by-step explanation:
8 times 10 to the 4th power is 80,000 and 4 times 10 to the 4th power is 40,000 and 80,000 plus 40,000 is 120,000
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
