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2 years ago

Help triangle sum therom and idk what to do

Mathematics

1 answer:

m_a_m_a [10]2 years ago

5 0

Your answer would be x = 12

The triangle sum theorem states that the 3 angles in a triangle equal 180.

Since we have a 90 degree angle shown, we can add it to the other two and set it equal to 180.

30+90+6x-12=180
108+6x=180
6x=72
x=12

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2 years ago

In a sample of 70 stores of a certain company, 62 violated a scanner accuracy standard. It has been demonstrated that the condi

uysha [10]

Answer:

We need at least 243 stores.

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 of the interval is:

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For this problem, we have that:

$n = 70, p = \frac{62}{70} = 0.886$

95% confidence level

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Determine the number of stores that must be sampled in order to estimate the true proportion to within 0.04 with 95% confidence using the large-sample method.

We need at least n stores.

n is found when M = 0.04. So

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

$0.04 = 1.96\sqrt{\frac{0.886*0.114}}{n}}$

$0.04\sqrt{n} = 1.96\sqrt{0.886*0.114}$

$\sqrt{n} = \frac{1.96\sqrt{0.886*0.114}}{0.04}$

$(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.886*0.114}}{0.04})^{2}$

$n = 242.5$

Rounding up

We need at least 243 stores.

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2 years ago

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Answer:

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago