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Ahat [919]
3 years ago
11

In 2015, there were about 22 million teenagers (aged 13–17) in the United States. They each sent an average of 900 text messages

per month. About how many text messages did all of the teenagers in the United States send each month? Express your answer using scientific notation.
Mathematics
1 answer:
Lady bird [3.3K]3 years ago
4 0

Answer: 24000

Step-by-step explanation:

Divide the 22 million by the 900 texts a month to get 24,444 then round to 24,000

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Assume that a procedure yields a binomial distribution with a trial repeated n = 5 times. Use some form of technology to find th
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Step-by-step explanation:

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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.

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And p is the probability of X happening.

In this problem we have that:

n = 5, p = 0.517

Distribution

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

P(X = 0) = C_{5,0}.(0.517)^{0}.(0.483)^{5} = 0.0263

P(X = 1) = C_{5,1}.(0.517)^{1}.(0.483)^{4} = 0.1407

P(X = 2) = C_{5,2}.(0.517)^{2}.(0.483)^{3} = 0.3012

P(X = 3) = C_{5,3}.(0.517)^{3}.(0.483)^{2} = 0.3224

P(X = 4) = C_{5,4}.(0.517)^{4}.(0.483)^{1} = 0.1725

P(X = 5) = C_{5,5}.(0.517)^{5}.(0.483)^{0} = 0.0369

6 0
3 years ago
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