The dependent variable is the profit because that is what you're measuring
For any probability the formula is
. In this case we have 4 desired outcomes (the odds, 1, 3 and 5, and also 6) out of 6 total sides, so our probability
.
Mutually exclusive means the events cant occur at the same time. In our case it is not possible to roll both a 6 and an odd number at the same time since 6 is even. Therefore the events ARE mutually exclusive.
Combine the two parts and C is the correct answer. <span />
Error: They subtracted 9x from both sides when they should have subtracted 12. You can’t subtract unlike terms
Correct: x=-5/16
Subtract 12 from both sides to get -5 on the left and add 7x and 9x to get 16x. Divide both sides by 16 to isolate x.
Percentage of heads
= 53/100 x 100
=53%
percentage of tails
= 100-53
=47
=47/100 x100
= 47%
If it is (x-4)(x-2)3x than the answer is 3x(x^2-4x-2x+8) = 3x(x^2-6x+8) = 3x^3 - 18x^2 + 24x
If it is (x+4)(x-2)3x than the answer is 3x(x^2+4x+2x+8) = 3x(x^2+6x+8) = 3x^3 + 18x^2 + 24x