The answer to the question
Solve: 2 ( X + 5 ) = 3X + 1 Show your work
1 answer:
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The pattern in the given series of amount in the account are in the form of
arithmetic and geometric progression.
- The function for Option 1 is;
- The function for Option 2 is;
Reasons:
The given table of values is presented as follows;
In Option 1, the amount in dollars for each year has a common difference of d = 100
The first term, a = 1,100
Therefore;
The Option 1 can be represented as an arithmetic progression , A.P. in the
form, tₙ = a + (n - 1)·d as follows;
For the Option 1, we have;
- The amount in dollars after <em>n</em> years,
For Option 2, it is possible to find;
1,331 ÷ 1,210 = 1,210 ÷ 1,100 = 1.1
Therefore;
The terms in the Option 2 have a common ratio of r = 1.1
The Option 2 is a geometric progression, G.P.
The first term in Option 2 is a = 1,100
Which gives, the nth term, tₙ = a·r⁽ⁿ ⁻ ¹⁾
Therefor;
- The function for the Option 2 is;
Learn more about arithmetic and geometric progression here:
Answer:
0.0537
Step-by-step explanation:
This follows a binomial distribution with : n
Number of trials 'N' = 12 ; Probability of success (difference between speakers) 'p' = 1/2 or 0.5 ; Probability of failure (no difference b/w speakers) = 1/2 or 0.5 ; No of success 'r' = 3
P (X = 3) =
= 12C3 (0.5)^3 (0.5)^9
0.0537