Answer:
what are the equations?
Step-by-step explanation:
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.
Answer:


Step-by-step explanation:
Given
See attachment for triangles
Solving (a)

The tan of an angle is:

From the given triangle.


So, we have:

Solving (b)

The cos of an angle is:

From the given triangle.


So, we have:

We convert degrees to radian by multiplying by (
)
= (345) × (
)
= (
) × (π)
= 1.9166π
= 1.9166 × 3.14
= 6.018 rad
≈ 6.02 rad
For example:
(4/9) x=8
Now can solve this equation multiplying each side by 9/4.
(9/4)(4/9)x=(9/4)8
x=18
To check:
(4/9)(18)=(4*18)/9=72/9=8