Find the perimeter of a rectangle with a width of (x - 3) and a length of 4x
1 answer:
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Answer:
Step-by-step explanation:
Given : A pair of fair dice is rolled, If the sum of the spots is 7.
To find : Determine the probability that one die showed a 2 ?
Solution :
A pair of fair dice is rolled the outcomes are,
(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)
The sum of the spots is 7 i.e. (4,3),(2,5),(5,2),(3,4),(1,6),(6,1).
Total possibility = 6
Favorable outcome is that one die showed a 2 i.e. (2,5),(5,2)= 2
The probability that one die showed a 2 is given by,
Answer:
D(4,-3)
Step-by-step explanation:
Given three of the vertices of the square: A(4, -7), B(8, -7),C(8, -3)
Let the coordinate of the fourth vertex be D(x,y).
We know that diagonals of a square are perpendicular bisector. So, the midpoint of both diagonals is the same.
The diagonals are BD and AC
Midpoint of BD = Midpoint of AC
The coordinates of the fourth vertex is D(4,-3)