Answer:
Step-by-step explanation:
eq. of line parallel to AB is y=2x+a
if it passes through (3,-2) then
-2=2×3+a
a=-2-6=-8
y=2x-8
Answer:
Lose $0.05
Step-by-step explanation:
There are 38 possible spots on the roulette wheel (numbers 1 to 36, 0 and 00).
If the player can choose four numbers on single $1 bet, his chances of winning (W) and losing (L) are as follows:

The expected value of the bet is given by the probability of winning multiplied by the payout ($8), minus the probability of losing multiplied by the bet cost ($1)

On each bet, the player is expected to lose 5 cents ($0.05).
We have by distributivity of limits over sums, and continuity of
and
, that

Given
, it follows that

Answer:
z=6
Step-by-step explanation:
First you add -8 to both sides. Now the equation is
=-3. Now you must multiply both sides by -2, so you get z=6
Let the number of red skittles be = x
Let the number of orange skittles be = y
Red skittles are 10 less than orange, this gives
x = y-10................(i)
Orange Skittles are twice the number of red skittles, this gives
y = 2x.............(ii)
Incorporating the value of y from second equation into first
x = 2x - 10
hence, x = 10
Now putting the value of x in equation second
y = 2x
y = 2*10
y = 20
Hence, the number of red skittles are 10 and the number of orange skittles are 20.