If 16 is added to 1/3 of a number,the result is 3 times the number. what is the number

Mathematics

1 answer:

kirill [66]3 years ago

8 0

16 + 1/3x = 3x
16 = 3x - 1/3x
16 = 9/3 x - 1/3 x
16 = (<span>9 x - 1 x)/3
</span>16(3) = 8x
48 = 8x
x = 6

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il63 [147K]

Answer:

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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.

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Of the 2809 people who responded to survey, 1634 stated that they currently use social media.

This means that $n = 2809, \pi = \frac{1634}{2809} = 0.5817$

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So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5817 - 2.327\sqrt{\frac{0.5817*4183}{2809}} = 0.56$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5817 + 2.327\sqrt{\frac{0.5817*4183}{2809}} = 0.6034$

The 98% confidence interval estimate of the proportion of adults who use social media is (0.56, 0.6034).

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2 years ago

Find c such that (−3,−8), (−7,−6), and (c,4) lie on a line.

Nutka1998 [239]

If the 3 points are collinear, then the slopes of all line segments connecting the points are the same.

Thus,

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3 years ago

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liberstina [14]

Answer: a) -240

<u>Step-by-step explanation:</u>

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