<h3>Key points :-</h3>
᪥ The formula to find the 31st term is : 
᪥ In the formula,
represents the first term of the sequence.
᪥
is the number of terms, In our case n is 31.
᪥
is the common difference between the terms, In our case d is 4.

<em>Detailed Solution is attached</em>᭄
Answer:
Please check the explanation.
Step-by-step explanation:
We know that when a consistent system has infinite solutions, then the graphs of the equations are exactly the same. In other words, these equations are called dependent equations.
All points of dependent equations share the same slope and same y-intercept.
For example,
6x-2y = 18
9x-3y=27
represent the dependent equations.
Writing both equations in slope-intercept form
y=mx+c
where m is the slope and c is the y-intercept
Now
6x-2y=18
2y = 6x-18
Divide both sides by 2
y = 3x - 9
Thus, the slope = 3 and y-intercept = b = -9
now
9x-3y=27
3y = 9x-27
Divide both sides by 3
y = 3x - 9
Thus, the slope = 3 and y-intercept = b = -9
Therefore, both equations have the same slope and y-intercept. Their graphs are the same. Hence, they are called dependent equations.
If you have applied for two jobs a and b and the probability that you get an offer for the job a is 0.25 and the probability of being offered job b is 0.20, then the probability that you will be offered both jobs is 0.05.
Probability is a term used in mathematics that is concerned with the numerical illustration of the possibility of an event to take place. Its value is between 0 and 1 where 0 illustrates the impossibility of the event to take place while 1 illustrates the certainty of an event to take place.
As the probability of both the jobs are not dependent on each other, the probability that both jobs will be offered can be calculated by the formula;
P(A∩B) = P(A) × P(B)
Here, P(A∩B) represents the probability of both the events to take place together
As P(A) is equal to 0.25
P(B) is equal to 0.20
P(A∩B) = (0.25)(0.20)
P(A∩B) = 0.05
Therefore, 0.05 is the probability that both jobs will be offered.
To learn more about probability, click here:
brainly.com/question/251701
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Answer: B
Step-by-step explanation: B, because lines A and C would more likely connect to B
5.3, 5.3000? I'm not entirely sure, however.