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juin [17]
3 years ago
6

Which trinomial(s) can be factored as (x + p)(a +9), where p and q are positive?

Mathematics
1 answer:
Umnica [9.8K]3 years ago
3 0

Answer:

  • D. x² + 5x + 6

Step-by-step explanation:

Trinomials can be factored as (x + p)(x + q), where both p and q are positive,

when both b and c are positive in:

  • ax² + bx + c

<u>One option is correct:</u>

  • x² + 5x + 6
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Past records indicate that the probability of online retail orders that turn out to be fraudulent is 0.08. Suppose that, on a gi
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Answer:

The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.

Step-by-step explanation:

We can model this with a binomial random variable, with sample size n=20 and probability of success p=0.08.

The probability of k online retail orders that turn out to be fraudulent in the sample is:

P(x=k)=\dbinom{n}{k}p^k(1-p)^{n-k}=\dbinom{20}{k}\cdot0.08^k\cdot0.92^{20-k}

We have to calculate the probability that 2 or more online retail orders that turn out to be fraudulent. This can be calculated as:

P(x\geq2)=1-[P(x=0)+P(x=1)]\\\\\\P(x=0)=\dbinom{20}{0}\cdot0.08^{0}\cdot0.92^{20}=1\cdot1\cdot0.189=0.189\\\\\\P(x=1)=\dbinom{20}{1}\cdot0.08^{1}\cdot0.92^{19}=20\cdot0.08\cdot0.205=0.328\\\\\\\\P(x\geq2)=1-[0.189+0.328]\\\\P(x\geq2)=1-0.517=0.483

The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.

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