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Nitella [24]
3 years ago
15

The sum of 6 consecutive integers is 519. What is the third number in this sequence?

Mathematics
2 answers:
garri49 [273]3 years ago
8 0
The third integer is 86, hope this helps :)
Gekata [30.6K]3 years ago
7 0
Let the third number be n. then the series of numbers is n-2, n-1, n, n+1, n+2, n+3. The sum of these numbers should be 519. Add them together and solve for n:
n-2+n-1+n+n+1+n+2+n+3=519
6n+3=519
6n=516
n=86

So the third number is 86.
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Ms Sherman is preparing 5 and 5/8 cups of rice for his family reunion. She plans to use 1/4 of a cup for each serving. How many
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3 years ago
Statistics show that about 42% of Americans voted in the previous national election. If three Americans are randomly selected, w
MrRa [10]

Answer:

19.51% probability that none of them voted in the last election

Step-by-step explanation:

For each American, there are only two possible outcomes. Either they voted in the previous national election, or they did not. The probability of an American voting in the previous election is independent of other Americans. 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.

42% of Americans voted in the previous national election.

This means that p = 0.42

Three Americans are randomly selected

This means that n = 3

What is the probability that none of them voted in the last election

This is P(X = 0).

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

P(X = 0) = C_{3,0}.(0.42)^{0}.(0.58)^{3} = 0.1951

19.51% probability that none of them voted in the last election

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Approximate solutions are

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X subset 1 is approximately equal to -0.28
4 0
3 years ago
Read 2 more answers
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