Line BCE is supplementary, which means its straight or it is 180 degrees. so you take the angle of BCF, which is 63, and subtract that from 180 to get 117, so the measure of angle FCE is 117 degrees <span />
<u>Answer:</u>
X and Y are stochastically dependent RVs .
<u>Step-by-step explanation:</u>
Let ,
X = sum of the values that come up after throwing n (≥ 1) fare dice.
Y = number of times an odd number come up.
Let, n = 3
then, P(X =6) = p (say) clearly 0 < p < 1
and P (Y = 3) = 
And,
P( X = 6, Y = 3) = 0 ≠ 
Hence, X and Y are stochastically dependent RVs
Plug in the 2 values for x and y into the equation and see if it works out.
6(-9)-(3)/2=14 => -54-3/2=14 => -55 -1/2 = 14
Which false so the first point is not a solution.
Next point:
6(2)-(-4)/2=14 => 12+2=14 => 14=14
This is clearly true, so the second point is a solution.
Final answer:
Answer choice B, the first is not a solution but the second is.
Hope I helped :)
Together, the area of the two bases is
(6 in)×(8 in) = 48 in²
The lateral area is the product of the height of the prism (2 in) and the perimeter of the base (6 in +8 in +10 in), so is
(2 in)×(24 in) = 48 in²
The total area is the sum of these
area = 48 in² +48 in² = 96 in² . . . . . . . . . matches the 3rd selection