Four students working in a group are trying to find a rational number between 1 2 and 7 8 . Which student has a correct answer a
2 answers:
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Answer:
(A) n(Eᶜ)=40
Step-by-step explanation:
The Sample Space for is given as:
(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11)
(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11)
(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11)
(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11)
(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)
(6,7),(6,8),(6,9),(6,10),(6,11)
(7,8),(7,9),(7,10),(7,11)
(8,9),(8,10),(8,11)
(9,10),(9,11)
(10,11)
n(S)=55
Event E is the Event that the two numbers are odd.
Therefore: Complement of E will be the event that any of the two numbers is even.
The Sample Space of the complement of E is:
Therefore:
n(Eᶜ)=40
Answer:
The coordinates of the fourth vertex of the rectangle is (3,-8).
Step-by-step explanation:
It is given that a rectangle has vertices at these coordinates. (1, 2) , (3, 2) , (1, −8).
Let the coordinates of the fourth vertex of the rectangle be (x,y).
The diagonals of rectangle intersect each other at their midpoint.
Plot these points on a coordinate plane. From the graph it is noticed that the end point of one diagonal are (3, 2) and (1, −8).
The end point of second diagonal are (1, 2) and (x,y).
Since the diagonals of rectangle intersect each other at their midpoint, therefore
On comparing both the sides,
Therefore the coordinates of the fourth vertex of the rectangle is (3,-8).
