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Tomtit [17]
3 years ago
8

So here's information before I say the question

Mathematics
1 answer:
zysi [14]3 years ago
3 0

What you have to do is multiply 21 by 2. it is 42. $42 dollars was the original price of the bookcase.

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State the range of possible values for x if (3x+5)(x-1) < 2x+7
lara31 [8.8K]

we are given with the inequality

(3x+5)(x-1) < 2x+7\\ \\

Open the parenthesis we get on left side we get

(3x+5)(x-1) < 2x+7 =3x^2-3x+5x-5

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A machine that produces a major part for an airplane engine is monitored closely. In the past, 10% of the parts produced would b
nata0808 [166]

Answer:

With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is of at least 216.

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

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error:

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

For this problem, we have that:

p = 0.1

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is

We need a sample size of at least n, in which n is found M = 0.04.

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

0.04 = 1.96\sqrt{\frac{0.1*0.9}{n}}

0.04\sqrt{n} = 0.588

\sqrt{n} = \frac{0.588}{0.04}

\sqrt{n} = 14.7

(\sqrt{n})^{2} = (14.7)^{2}

n = 216

With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is of at least 216.

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Why is 3 a rational number
marishachu [46]

Answer:

In mathematics rational means "ratio like." So a rational number is one that can be written as the ratio of two integers. For example 3=3/1, −17, and 2/3 are rational numbers. ... The rational numbers are those which have repeating decimal expansions (for example 1/11=0.09090909..., and 1=1.000000...

Step-by-step explanation::P

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Answer:

°u°

Step-by-step Explanation

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