Step-by-step Answer:
What is the solution to the system of equations?
y = –3x – 2 ..............(1)
5x + 2y = 15..............(2)
Substitute (1) in (2) to give
5x + 2(-3x-2) = 15
5x-6x-4 = 15
-x-4=15
solve for x:
-4-15 = x
x=-19
Now substitute x=-19 into equation (1)
y = -3x-2 = 57-2 = 55
Therefore the solution is (-19, 55)
Answer: A. $725.95
Step-by-step explanation:
First you need to add 129.95 * 5 since they bought 5 plus the delivery cost.
Answer:
Step-by-step explanation:
1.94 / 8 = 0.2425 rounds to 0.24....so unit price is 24 cents per gallon
Answer:
0
Step-by-step explanation:
given that we roll a fair die repeatedly until we see the number four appear and then we stop.
the number 4 can appear either in I throw, or II throw or .... indefinitely
So X = the no of throws can be from 1 to infinity
This is a discrete distribution countable.
Sample space= {1,2,.....}
b) Prob ( 4 never appears) = Prob (any other number appears in all throws)
= 
where n is the number of throws
As n tends to infinity, this becomes 0 because 5/6 is less than 1.
Hence this probability is approximately 0
Or definitely 4 will appear atleast once.