You can download the app Photomath, it gives you the answer and the explanation, anyways question 1 is n=-1 and question 2 is x=10
Answer:
25 months
Step-by-step explanation:
Plan A : $70 per month
Plan B : $50 per month + $500 as a one time cost.
So for A $70 a month would take 8 months to be at least $500
And for B it in those 8 months it would cost you $900
But we have to keep going up until they are equal
25*70 = 1750
(25*50) = 1250+500=1750
So yes 25 months is correct
The common difference is 11, you can see this because the number goes up by eleven each time.
For a probability distribution the expected value is the summation of product of probabilities with their respective data values. Let x be the probability that Jackson goes gym for 2 days and y be the probability that he goes gym for 3 days.
For the given case we have following values and their probabilities:
0 : 0.1
2 : x
3 : y
So the expected value will be = 0(0.1) + 2(x) + 3(y)
Expected value is given to be 2.05. So we can write the equation as:
2x + 3y = 2.05 (Equation 1)
Also for a probability distribution, the sum of probabilities must always equal to 1. So we can set up the second equation as:
0.1 + x + y = 1
x + y = 0.9 (Equation 2)
From Equation 2 we can write the value of x to be x = 0.9 - y. Using this value in equation 1, we get:
2(0.9 - y) + 3y = 2.05
1.8 - 2y + 3y = 2.05
1.8 + y = 2.05
y = 0.25
Using the value of y in equation 2 we get value of x to be 0.65
Therefore we can conclude that:
The probability that Jackson goes to gym for 2 days is 0.65 and the probability that he goes to gym for 3 days is 0.25
