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3 years ago

Solve for x: −3|2x + 6| = −12

Mathematics

1 answer:

spayn [35]3 years ago

8 0

Start with

$-3|2x+6|=-12$

Divide both sides by -3

$|2x+6|=4$

If the absolute value of a number is 4, that number can either be 4 or -4: we have the two solutions

$2x+6=4 \iff 2x=-2 \iff x=-1$

$2x+6=-4 \iff 2x=-10 \iff x=-5$

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3 years ago

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2 years ago

Suppose that a local TV station conducts a survey of a random sample of 120 registered voters in order to predict the winner of

forsale [732]

Answer:

a) The 99% CI for the true proportion of voters who prefer the Republican candidate is (0.3658, 0.6001). This means that we are 99% sure that the true population proportion of all voters who prefer the Republican candidate is (0.3658, 0.6001).

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Step-by-step explanation:

Question a:

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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$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4833 + 2.575\sqrt{\frac{0.4833*0.5167}{120}} = 0.6001$

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