4-3(x-y)=-8x+2
=4-3x-3y=-8x+2
=4-3x+8x-3y-2
=5x-3y+2
or
5x-3y=-2
so it will be C=5x+3y=-2
Answer:
a) P(X∩Y) = 0.2
b) 
= 0.16
c) P = 0.47
Step-by-step explanation:
Let's call X the event that the motorist must stop at the first signal and Y the event that the motorist must stop at the second signal.
So, P(X) = 0.36, P(Y) = 0.51 and P(X∪Y) = 0.67
Then, the probability P(X∩Y) that the motorist must stop at both signal can be calculated as:
P(X∩Y) = P(X) + P(Y) - P(X∪Y)
P(X∩Y) = 0.36 + 0.51 - 0.67
P(X∩Y) = 0.2
On the other hand, the probability that he must stop at the first signal but not at the second one can be calculated as:
= P(X) - P(X∩Y)
= 0.36 - 0.2 = 0.16
At the same way, the probability 
that he must stop at the second signal but not at the first one can be calculated as:
= P(Y) - P(X∩Y)
= 0.51 - 0.2 = 0.31
So, the probability that he must stop at exactly one signal is:
Answer:
The better deal is 10 cans of soda for $5.50
Step-by-step explanation:
- 6 cans of soda for $3.60 means each can of soda is worth .60 cents
- 4 cans of soda for $2.36 means each can of soda is worth .59 cents
- 10 cans of soda for $5.50 means each can of soda is worth .55 cents
Therefore, 10 cans of soda for $5.50 is the best deal because you are getting the most cans of soda for the cheapest amount of money.
Hope this helped!
14. -15 degrees celsius
15.
- Boys = 15 * 3 = 45
- Total = 15 + 45 = 60
16. 2(5)^2 + 5 = 2(25) + 5 = 50 + 5 = 55
