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oksano4ka [1.4K]
3 years ago
7

What is the answer to the equation 4•(12-z)=44

Mathematics
1 answer:
mixas84 [53]3 years ago
5 0

Answer:4z=-4

Step-by-step explanation:So you do distributive property 4×12 is 48 four times is 40 then you do 4Z +48 equals 44 then you subtract 48 from both sides because it’s edition so you change it to subtraction then once you subtract 48 from both sides 44 subtracted by 48 is -4 so for Z equals -4

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The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e
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Answer:

A sample of 499 is needed.

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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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 would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 90% confidence level with an error of at most 0.03

We need a sample of n, which is found when M = 0.03. So

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

0.03 = 1.645\sqrt{\frac{0.21*0.79}{n}}

0.03\sqrt{n} = 1.645\sqrt{0.21*0.79}

\sqrt{n} = \frac{1.645\sqrt{0.21*0.79}}{0.03}

(\sqrt{n})^2 = (\frac{1.645\sqrt{0.21*0.79}}{0.03})^2

n = 498.81

Rounding up

A sample of 499 is needed.

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