perimeter = sum of all sides
27 = 9+7.8+x
x (third side) = 10.2
Answer:
This data is not a probability distribution
The reason sum of the probabilities is not equal
∑ P(X=x) ≠ 1
Step-by-step explanation:
<u>Explanation</u>:-
Given data
x 0 1 2 3
p(x) 0.091 0.334 0.408 0.166
<u>Discrete distribution :-</u>
Probability distribution of a random variable is the set of its possible values together with their respective probabilities. Suppose X is a discrete random variable with possible outcomes (values) x₁ , x₂ , x₃ ,......... The probability of each possible outcome

If the numbers
satisfy the two conditions
i) 
ii) ∑P(X=x) =1
Given data condition(i) satisfied 
but the condition (ii) is not satisfied
0.091+0.334+ 0.408+ 0.166 = 0.999
sum off all probabilities is not equal to one
<u>Conclusion</u>:-
The given data is not probability distribution
Answer:
22⁰
Step-by-step explanation:
By angle sum property :
x + 127 + 31 = 180⁰
x = 180 - 158
x = 22⁰
-3x + y = 3
3x + 2y = -12
-----------------add
3y = - 9
y = -9/3
y = -3
3x + 2y = -12
3x + 2(-3) = -12
3x - 6 = -12
3x = -12 + 6
3x = - 6
x = -6/3
x = -2
solution is (-2,-3)