The total cost to take the ferry to Greene Island is a $12 fee for the car plus $3 for each passenger in the car. The graph show
s this relationship.
50
45
40
35
Cost of Ferry 30
(s)
25
20
15
10
5
0
1
5
09
2
3
4
Number of Passengers
How will the graph change if the car fee is changed to $10?
A. The y-intercept will shift up.
B. The y-intercept will shift down.
OC. The slope of the line will increase.
D. The slope of the line will decrease.
50
45
40
35
Cost of Ferry 30
(s)
25
20
15
10
5
0
1
5
09
2
3
4
Number of Passengers
How will the graph change if the car fee is changed to $10?
A. The y-intercept will shift up.
B. The y-intercept will shift down.
OC. The slope of the line will increase.
D. The slope of the line will decrease.
1 answer:
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Given:
Two dice are rolled together.
Total number of possible outcomes.
To find:
The list of total possible outcomes.
The probability of getting a sum of 11 in these outcomes.
The probability of getting a sum less than or equal to 4.
The probability of getting a sum of 13 or more.
Solution:
If two dice are rolled together, then the total number of possible outcomes is 36 and list of total possible outcomes is
S = {(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}
Sum of 11 in these outcomes = {(5,6),(6,5),(6,6)} = 3
The probability of getting a sum of 11 in these outcomes is
Therefore, the probability of getting a sum of 11 in these outcomes is .
Sum less than or equal to 4 = {(1,1),(1,2),(1,3),(2,1),(2,2),(3,1)} = 6
The probability of getting a sum less than or equal to 4 is
Therefore, the probability of getting a sum less than or equal to 4 is .
Sum of 13 or more = empty set because maximum sum is 12.
The probability of getting a sum of 13 or more is
Therefore, the probability of getting a sum of 13 or more is 0.