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Westkost [7]
3 years ago
9

For $7.52, you purchased 8 pens and highlighters from a local bookstore. Each highlighter cost $1.09 and each pen cost $.69. How

many pens did you buy?
It's system of equations but I only have the first part so help please.
Mathematics
1 answer:
seraphim [82]3 years ago
5 0
<span>i can. it says you got 8 pens. 1.09h + .69(8) = 7.52 1.09h + 5.52 = 7.52 do you know what to do from here?</span>
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A large electronic office product contains 2000 electronic components. Assume that the probability that each component operates
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Answer:

The probability is 0.971032

Step-by-step explanation:

The variable that says the number of components that fail during the useful life of the product follows a binomial distribution.

The Binomial distribution apply when we have n identical and independent events with a probability p of success and a probability 1-p of not success. Then, the probability that x of the n events are success is given by:

P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}

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P(x)=\frac{2000!}{x!(2000-x)!}*0.005^{x}*(0.995)^{2000-x}     (eq. 1)

So, the probability that 5 or more of the original 2000 components fail during the useful life of the product is:

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We can also calculated that as:

P(x ≥ 5) = 1 - P(x ≤ 4)

Where P(x ≤ 4) = P(0) + P(1) + P(2) + P(3) + P(4)

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P(x ≤ 4) = 0.000044 + 0.000445 + 0.002235 + 0.007479 + 0.018765

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P(x ≥ 5) = 1 - 0.028968

P(x ≥ 5) = 0.971032

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