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:
two number not included in domain are x=0 and x=-5/2
Step-by-step explanation:
Let f(x)= 5/x and g(x)=2x^2+5x
WE need to find out the excluded value in the domain of f o g
f o g is the composition of functions
f o g= f(g(x))
lets plug in g(x) in f(x)
replace 2x^2+5x in f(x)
here we have 2x^2+5x in the denominator
to find the numbers that are in domain we set the denominator =0 and solve for x
Because when denominator becomes 0 the function is undefined
x=0 and 2x+5=0 (subtract 5 on both sides)
2x= -5 (divide by 2 on both sides)
x=-5/2
Answer:
-4.
Step-by-step explanation:
The bracket should be (-4) as AD which is height +2 has been shifted down to EF which is height -2.
This equation would be written as:
9(z+4)
you distribute the 9:
9z+36
I don't really know what your asking for, but there is the equation and the simplified equation.
Answer:
(8, -7)
Note that B is the midpoint of the segment with endpoints A and the image of A.