Answer and Step-by-step explanation:
For 2 dice, we have 36 possibles outcomes:
D₁ = {1,2,3,4,5,6}
D₂ = {1,2,3,4,5,6}
U = ({1,1};{1,2};{1,3};...;{2,1};{2,2};...;{6,6})
This way, it's 6 for D₁ and 6 for D₂, 6.6 = 36
The possible 3 that might appear when rolling a pair of dice would be
{1,2} and {2,1}, so, 2.
The probability of rolling 3 is 2/36 = 1/18
Answer: -31
<u>Step-by-step explanation:</u>
f(x) = -x⁴ + 3x³ + x² - 8x - 16
f(3) = -(3)⁴ + 3(3)³ + (3)² - 8(3) - 16
= -81 + 81 + 9 - 24 - 16
= -31
Volume of Rectangle = (Area of Base)(Height)
Volume of Square Pyramid = (1/3) (Area of Base)(Height)
The prism is 3 times larger than the pyramid
Answer: A
