Answer:
Step-by-step explanation:
Assuming a fair die is rolled.
- The sample space comprises 1, 2, 3, 4, 5, 6, with all results being equally probable.
Let X represent the collection of all outcomes. Let A represent a specific outcome.
<pThus, the probability of event A occurring is:
Considering that the set of all possible outcomes for a singular die roll is:
Notably,
Here,
since 8 is not included in the sample space. Therefore, rolling an 8 is impossible within the defined outcomes.
<pThis leads to the conclusion that the probability is zero.
In other terms,
<pAs a result,
<span>Denote x as the interval, then:
186 = 50 + 3 + (3+x) + (3+2x) + (3+3x) + (3+4x) + (3+5x) + (3+6x) + (3+7x)
186 = 74 + 28x
x = 4
Age of the eldest son = 3+7x = 3+28 = 31.</span>
(0,1)(2,7)
Calculating the slope (m) gives: (7-1) / (2-0) = 6/2 = 3
The equation is represented as y = mx + b
where the slope (m) equals 3
Utilizing either of your coordinates... (0,1).... this implies x = 0 and y = 1
Substituting to solve for b, the y-intercept
1 = 3(0) + b
which simplifies to 1 = b
Thus, the equation you seek is: y = 3x + 1....or 3x - y = -1
