Answer:
V= 8/3
Step-by-step explanation:
Answer:180
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given, :
x P(x)
0 0.900
1 0.09
2 0.007
3 0.003
The expected variance ; Var(X) = x²*p(x) - E(X)²
The expected mean, E(X) = x*p(x)
E(X) = (0*0.9) + (1*0.09) + (2*0.007) + (2*0.003) = 0.113
Var(X) = [(0^2*0.9) + (1^2*0.09) + (2^2*0.007) + (3^2*0.003)] - 0.113^2
Var(X) = 0.145 - 0.012769
Var(X) = 0.132
A)
to solve a, the following rules are crucial:
(i)
so the difference of 2 logarithms with the same base, is the logarithm of their division, preserving the same base.
(ii) if
then b=c.
so if 2 logarithms with the same base are equal, then the arguments (b and c) are equal as well.
so
apply rule (i):
apply rule (ii):
now 'isolate' y:
b)
some more rules:
(iii)
(iv)
apply iii and iv:
then substitute
in the equation:
so now we have a quadratic equation of degree 2,
a=2, b=-5, c=2
the discriminant is
, the root of it is 3
so the roots are:
and
finally, we convert u's to x's:
means
so for u=2, x=4, and for u=1/2 we have x=1/4
Answers:
A) y=(6 x^{2} -1) \frac{(x-1)}{x}
B) solution set: {4, 1/4}
1788 I did it in distributive property trust me