Answer:
a
Step-by-step explanation:
Answer:
After solving we get
Option D is correct.
Step-by-step explanation:
We are given:
If we need to find the value of
Solving:
Taking cube on both sides
We can write Using this for solving:
So, after solving we get
Option D is correct.
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
I dont know but I would love to held and I’m trying to find a solution
Answer:
(- 1, 6 )
Step-by-step explanation:
Equate the right sides of both equations, that is
x² - 2x + 3 = - 6x ← add 6x to both sides
x² + 4x + 3 = 0 ← in standard form
(x + 3)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x + 1 = 0 ⇒ x = - 1
Substitute these values into f(x) = - 6x
f(- 3) = - 6(- 3) = 18 ⇒ (- 3, 18 )
f(- 1) = - 6(- 1) = 6 ⇒ (- 1, 6 )