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Debora [2.8K]
3 years ago
12

Find the 13th term in the following arithmetic sequence 2, 10, 18, 26, ...

Mathematics
2 answers:
Delvig [45]3 years ago
4 0

Answer:

a(13) = 98

Step-by-step explanation:

<em>a(n) = a1 + (n-1) d</em>

a1 would be the original term, 2

since you are looking for the 13th term a(n) and n is 13

a(13) = 2 + (13-1) d

d would be the difference between each term, 8

a(13) = 2 + (13-1) 8

Now solve

a(13) = 2 + 12 * 8

a(13) = 2 + 96

a(13) = 98

NARA [144]3 years ago
3 0

Answer:

Find the 13th term in the following arithmetic sequence

2, 10, 18, 26 ...192 is the 13th term

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Select the correct answer.
Svetlanka [38]

Answer:

<h3>\boxed{ \boxed{ \bold{ {x}^{2}  + 4x - 21}}}</h3>

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\sf{(x - 3)(x + 7)}

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if the probability that the islanders will beat the rangers in a game is 0.44,what is the probability that the islanders will wi
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Answer:

30.91% probability that the islanders will win exactly one out of four games in a series against the rangers

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the Islanders win, or they do not. The probability of the Islanders winning a game is independent of other games. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability that the islanders will beat the rangers in a game is 0.44

This means that p = 0.44

What is the probability that the islanders will win exactly one out of four games in a series against the rangers? ​

This is P(X = 1) when n = 4. Then

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P(X = 1) = C_{4,1}.(0.44)^{1}.(0.56)^{3} = 0.3091

30.91% probability that the islanders will win exactly one out of four games in a series against the rangers

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