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3 years ago

7

True or false: the value of 3pi/2 is a solution for the equation 2sin^2 x-sin x-1 =0

1 answer:

Ede4ka [16]3 years ago

6 0

The answer would be true, because the 2 on the bottom of the fraction would cancel out the 2 in the equation.

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There are 3 yellow marbles and 4 silver marbles in a bag. You randomly choose one of the marbles. What is the probability of cho

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2 years ago

A survey conducted in July 2015 asked a random sample of American adults whether they had ever used online dating (either an onl

Natasha2012 [34]

Answer:

The 99% confidence interval is (0.0787, 0.1613).

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 interval 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 $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

The survey included 411 adults between the ages of 55 and 64, and 50 of them said that they had used online dating. This means that $n = 411, \pi = \frac{50}{411} = 0.12$

The 99% confidence interval is

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{411}} = 0.12 - 2.575\sqrt{\frac{0.12*0.88}{411}} = 0.0787$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{411}} = 0.12 + 2.575\sqrt{\frac{0.12*0.88}{411}} = 0.1613$

The 99% confidence interval is (0.0787, 0.1613).

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4 years ago