Answer:
a= 1/2 and b= 1/2
Step-by-step explanation:
The given probability can be expressed in the form of binomial expansion where a= p and b= q
Therefore a= 1/2 and b= 1/2
For n= 8 trials the binomial expansion can be written as
[ p+q] ^n = [ 1/2+1/2]^8
=(1/2)^0(1/2)^8 +8C1(1/2)^7(1/2)+8C2(1/2)^6(1/2)^2+8C3(1/2)^5(1/2)^3+8C4(1/2)^4(1/2)^4+8C5(1/2)^3(1/2)^5+8C6(1/2)^2(1/2)^6+8C7(1/2)(1/2)^7+8C8(1/2)^0(1/2)^8
=
1(1/2)^0(1/2)^8 +8(1/2)^7(1/2)+28(1/2)^6(1/2)^2+56(1/2)^5(1/2)^3+70(1/2)^4(1/2)^4+56(1/2)^3(1/2)^5+28(1/2)^2(1/2)^6+8(1/2)(1/2)^7+1(1/2)^0(1/2)^8
=
1/(2)⁸ { 1+ 8+28+56+70+56+28+8+1}
= 1/(2)⁸ {256}
= 1
The total probability is always 1.
Also P+q= 1
1/2+1/2= 1
Answer:
see below
Step-by-step explanation:
The following definitions apply:
if p, then q . . . . conditional statement
if q, then p . . . . converse
if ~p then ~q . . . inverse
if ~q then ~p . . . contrapositive
You have ...
p = "it is October 31"
q = "it is Halloween"
(a) The <em>converse</em> is ...
If it is Halloween, then it is October 31.
(b) The <em>inverse</em> is ...
If it is not October 31, then it is not Halloween.
(c) The <em>contrapositive</em> is ...
if it is not Halloween, then it is not October 31.
The height of the monument is 555 ft and the angle of elevation from the ground is 60°. If d is the distance from a man`s feet to the base of the monument than:
tan 60° = 555 / d
√3 = 555 / d
d = 555 · √3 = 555 · 1.732 = 320.44 ft.
The distance from the man`s feet to the top of the monument is:
320.44 ft · 2 = 640.88 88 ft.
Answer:
The distance from the man`s feet to the base of the monument is 320.44 ft ( just that is correct ).
Answer: y^5
Step-by-step explanation:
In the picture
Answer:
no
Step-by-step explanation: