X=original cost
37.80=1.08x
x=37.80/1.08
x=35
original cost: $35
3x +y = 23 this is the same as y=23-3x
3x - 2y = 8 this is the same as 3x/2-8/2=y, which gives you; y=1,5x-4
so;y=23-3xy=1,5x-4
y=y
23-3x=1,5x-4
23+4=1,5x+3x
27=4,5x
27/4,5=x
x=6
the y is:
3*6+y=23
18+y=23
y=23-18
<span>y=5</span>
P(H,H,H)=P(H,T,H)
This is classical probability, so the probability of an event is the number of "favorable" events over total events.
The total number of events, by the counting principle, is 2^3=8.
The total number of events remains the same for P(H,H,H) and P(H,T,H), as you're still flipping 3 coins with two sides.
For P(H,H,H) the favorable event is (H,H,H) so 1, for P(H,T,H) the favorable event is (H,T,H) also one.
Conclusion:
P(H,H,H)=P(H,T,H)=1/8
<span>
Not to worry, Anarkee, it's easy. They just dress it up in tech-speak.
What it means is "For what pair of numbers in the list is the statement
"Y = 6x" true, if the first number is x and the second is y".
You will notice that in every pair, one number is 6 times the other, but
if the numbers are arranged as ORDERED pairs, the convention is that x
comes before y. therefore only B, C and E satisfy the equation.
Simple but sneaky, huh? </span>