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3 years ago

3(1.5x+9)= tell me NOW

Mathematics

1 answer:

Misha Larkins [42]3 years ago

5 0

Answer:

x = -6

Step-by-step explanation:

Simplifying

3(1.5x + 9) = 0

Reorder the terms:

3(9 + 1.5x) = 0

(9 * 3 + 1.5x * 3) = 0

(27 + 4.5x) = 0

Solving

27 + 4.5x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-27' to each side of the equation.

27 + -27 + 4.5x = 0 + -27

Combine like terms: 27 + -27 = 0

0 + 4.5x = 0 + -27

4.5x = 0 + -27

Combine like terms: 0 + -27 = -27

4.5x = -27

Divide each side by '4.5'.

x = -6

Simplifying

x = -6

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

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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:

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

For this problem, we have that:

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

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

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.

5 0

3 years ago

Please help me, and I will mark you as brainliest

Lostsunrise [7]

Answer:

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Step-by-step explanation:

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