Answer:
a) 2048
b)164
c)54
d) 11
Step-by-step explanation:
a) A coin has two faces.
Outcome possible =2^11= 2048
b) 8 heads possible outcome = 11!/8!3! = 3971688/241/920= 164 ways
c)2 heads outcome= 11!/2!8!= 39716800/725760=54
d) 7 heads= 11!/7!6! =39716800/3628800 = 11
Answer:
13/6 is the missing fraction
Step-by-step explanation:
well consider the missing integer as x
then 5/2 -x=1/3
so, -x=1/3 -5/2
-x = -13/6
x= 13/6
Definition 1: A relation is any subset of a Cartesian product. For instance, a subset of , called a "binary relation from A to B," is a collection of ordered pairs (a,b) with first components from A and second components from B, and, in particular, a subset of is called a "relation on A."
Definition 2: A function is a relation that associates each element x of a set X to a single element y of another set Y (possibly the same set). A function is uniquely represented by its graph which is the set of all ordered pairs (x, f (x)).
From these definitions you can see that every function is a relation from X to Y, but not via versa (because you can consider relation - here for one x exist two y).
Answer: Correct choice is B.
Use the points H(−4, 1) and K(4, 1).
(a) From two points , we will get a vertical line when 'x' values are same and horizontal line segment when 'y' values are same
Here in H(−4, 1) and K(4, 1) , the y values are same so the segment HK is a horizontal . The length is the difference between x values ( 4 -(-4)) = 8
Segment HK is a Horizontal segment that is
8 units long.
(b) Describe the image of segment HK under the transformation
(x, y) -----> (−y, x)
H(−4, 1) -----> (-1, -4)
and K(4, 1) ---> (-1, 4)
'x' values are same so line HK is Vertical. The length is the difference between y values ( 4 -(-4)) = 8
The image of segment HK is a Vertical segment that is
8 units long.
(c) escribe the image of segment HK under the transformation
(x, y) ----> (2x, y)
H(−4, 1) -----> (-8, 1)
and K(4, 1) ---> (8, 1)
'y' values are same so line HK is Horizontal. The length is the difference between y values ( 8 -(-8)) = 16
The image of segment HK is a Horizontal segment that is
16 units long.