Answer:
d) 205
Step-by-step explanation:
<u><em>Step(i):-</em></u>
x : 100 150 200 250 300
p(X=x) : 0.10 0.20 0.30 0.30 0.10
<u>Step(ii):-</u>
Let 'X' be the discrete random variable
Expected value of the random variable
E(X) = ∑ x P(X=x)
= 100 X 0.10 + 150 X 0.20 + 200 X 0.30 +250 X 0.30 + 300 X 0.10
= 205
<u>Final answer:</u>-
The expected value E(X) = 205
The answer is y=-1/2x+4 that is if you are finding y. But if you are finding x it is x=-2y+8.
Yes it is a solution because if you take the equation and plug the point in for the x and y :
4 (2) + 3 (3) < 20
8 + 9 < 20
17 < 20
which is true
10 (2) + (3) > 10
20 + 3> 10
23>10
which is also true
ANSWER: x=12
EXPLANATION:
9+x/6=11
(54+x)/6=11 (finding common denominator)
x/6=11-54/6 (rearranging terms)
x/6=(66-54)/6 (finding common denominator so 6 gets cancelled from both the sides)
x=12