Please help with this question
2 answers:
Answer:
a) C
b) A
c) B
Step-by-step explanation:
Please see the attached screenshot for details.
Graph A represents y = x² - 1, which is the vertical translation of the graph 1 unit down.
Graph B represents y = 2x², which is the narrowing of the parent graph, y = x².
Graph C represents y = x² - 1, which is the horizontal shifting of the parent graph, 1 unit to the left.
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Answer:
The probability of rolling a seven or rolling an even number as the sum of the two dice is
Step-by-step explanation:
Given : Imagine you have a pair of six-sided dice.
To find : What's the probability of rolling a seven or rolling an even number as the sum of the two dice?
Solution :
Rolling a pair of six-sided dice,
(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)
Rolling a seven as the sum of the two dice are (1,6),(2,5),(3,4),(4,3),(5,2),(6,1)
Rolling an even number as the sum of the two dice are (1,1),(1,3),(1, 5),(2, 2),(2, 4),(2, 6) ,(3, 1),(3, 3),(3, 5),(4, 2),(4, 4),(4, 6),(5, 1),(5, 3),(5, 5),(6, 2),(6, 4),(6, 6).
Favorable outcome of rolling a seven or rolling an even number as the sum of the two dice are (1,6),(2,5),(3,4),(4,3),(5,2),(6,1), (1,1),(1,3),(1, 5),(2, 2),(2, 4),(2, 6) ,(3, 1),(3, 3),(3, 5),(4, 2),(4, 4),(4, 6),(5, 1),(5, 3),(5, 5),(6, 2),(6, 4),(6, 6) - 24
The probability is given by,
Therefore, the probability of rolling a seven or rolling an even number as the sum of the two dice is