Answer: Our required probability is 0.83.
Step-by-step explanation:
Since we have given that
Number of dices = 2
Number of fair dice = 1
Probability of getting a fair dice P(E₁) = 
Number of unfair dice = 1
Probability of getting a unfair dice P(E₂) = 
Probability of getting a 3 for the fair dice P(A|E₁)= 
Probability of getting a 3 for the unfair dice P(A|E₂) = 
So, we need to find the probability that the die he rolled is fair given that the outcome is 3.
So, we will use "Bayes theorem":

Hence, our required probability is 0.83.
An isosceles triangle is one in which 2 angles have similar
measure while the other one is different. In this case, the 2 vertex angles
have a measure of 42 degrees, therefore the third angle which is equal to (2x +
3) is:
(2x + 3) + 42 + 42 = 180
2x + 3 = 96
<span>x = 46.5°</span>
Answer:
III
Step-by-step explanation: I just took the quiz
2x^2 - quadratic - monomial
-2 - constant - monomial
3x - 9 - linear - binomial
-3x^2 - 6x + 9 - quadratic - trinomial
Answer:
The scale factor is 3.
Step-by-step explanation:
Let the origin O(0,0) is the reference point and the coordinates of the point A are given by (3,-6).
Therefore, the distance OA is given by
units.
Again, the coordinates of point A' are (1,-2).
Therefore, the distance OA' is given by
units.
Hence, the scale factor is
. (Answer)