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9966 [12]
3 years ago
9

The domain of a sequence can include decimals and irrational numbers.

Mathematics
1 answer:
Aloiza [94]3 years ago
5 0

No, that's not true.  The input variable of a sequence is called the index, which is a counter, such as 1, 2, 3, 4, ...   Note that all of these counters are positive integers.  Normallly I use index i = 1 to denote the first term of a sequence, i = 2 the second term, and so on.

Decimals and irrational numbers are completely unsuitable for serving as such counters.

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Use the distributive property to remove the parentheses.
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The result can be shown in multiple forms.

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3 years ago
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A package of 10 batteries is checked to determine if there are any dead batteries. Four batteries are checked. If one or more ar
frutty [35]

Answer:

There is a probability of 76% of not selling the package if there are actually three dead batteries in the package.

Step-by-step explanation:

With a 10-units package of batteries with 3 dead batteries, the sampling can be modeled as a binomial random variable with:

  • n=4 (the amount of batteries picked for the sample).
  • p=3/10=0.3 (the proportion of dead batteries).
  • k≥1 (the amount of dead batteries in the sample needed to not sell the package).

The probability of having k dead batteries in the sample is:

P(x=k) = \dbinom{n}{k} p^{k}q^{n-k}

Then, the probability of having one or more dead batteries in the sample (k≥1) is:

P(x\geq1)=1-P(x=0)\\\\\\P(x=0) = \dbinom{4}{0} p^{0}q^{4}=1*1*0.7^4=0.2401\\\\\\P(x\geq1)=1-0.2401=0.7599\approx0.76

8 0
3 years ago
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