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3 years ago

5/7x - 14 = -22. Find x.

Mathematics

2 answers:

Aleksandr-060686 [28]3 years ago

8 0

Answer:

x= -11.2

Step-by-step explanation:

5/7x-14=-22

+14 +14 Add 14 on both sides

5/7x = -8

(7/5)*5/7x = -8*(7/5) Multiply by the reciprocal on both sides to leave x alone

x= -11.2 Answer

Viefleur [7K]3 years ago

3 0

Answer:

x = -56/5, -11 1/5, or -11.2

Step-by-step explanation:

5/7x - 14 = -22

5x -98 = -154

5x = -154 + 98

5x = -56

x = -56/5, -11 1/5, or -11.2

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4 years ago

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3 years ago

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3 years ago

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4 years ago

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"Tongue Piercing May Speed Tooth Loss, Researchers Say" is the headline of an article. The article describes a study of 51 young

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Answer:

The 95% confidence interval for the proportion of young adults with pierced tongues who have receding gums is (0.24, 0.506).

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

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 51, \pi = \frac{19}{51} = 0.373$

95% confidence level

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

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.373 - 1.96\sqrt{\frac{0.373*0.627}{51}} = 0.24$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.373 + 1.96\sqrt{\frac{0.373*0.627}{51}} = 0.506$

The 95% confidence interval for the proportion of young adults with pierced tongues who have receding gums is (0.24, 0.506).

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4 years ago