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Vika [28.1K]
3 years ago
8

(x − 3)(2x2 − 5x + 1)

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
7 0

Answer:

2x3 − 11x2 + 16x − 3

Step-by-step explanation:

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Which expression best describes the transformation shown in the diagram below?
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A

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Suppose a production facility purchases a particular component part in large lots from a supplier. The production manager wants
musickatia [10]

Answer:

We need a sample size of at least 1161.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

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The margin of error for the interval is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

For this problem, we have that:

\pi = 0.22

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

How large a sample should she take?

We need a sample size of at least n.

n is found when M = 0.02

So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.02 = 1.645\sqrt{\frac{0.22*0.78}{n}}

0.02\sqrt{n} = 1.645\sqrt{0.22*0.78}

\sqrt{n} = \frac{1.645\sqrt{0.22*0.78}}{0.02}

(\sqrt{n})^{2} = (\frac{1.645\sqrt{0.22*0.78}}{0.02})^{2}

n = 1160.88

Rounding up

We need a sample size of at least 1161.

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