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OlgaM077 [116]
3 years ago
5

The sum of a number and five is multiplied by eight. The result is equal to negative fifty-six. The value of the number is .

Mathematics
2 answers:
k0ka [10]3 years ago
8 0

Answer:

n=-12

Step-by-step explanation:

laila [671]3 years ago
5 0
8(n + 5) = (-56)

First distribute the 8 to both n and 5

8 x 5 = 40
8(n) = 8n

8n + 40 = -56
8n + 40 (-40) = -56 (-40)
8n = -96
8n/8 = -96/8
n = -12

-12 is your answer

Hope this helps
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A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are centimeters on a pain sca
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The confidence interval for mean of the "before-after" differences is \fbox{(-0.4037,1.8037)}

Further explanation:

Find the difference between the before pain and the after pain.

Difference = before-after

Kindly refer to the Table for the difference of between the before and after pain.

Sum of difference = 5.6

Total number of observation = 8

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Sample standard deviation s = 1.3201

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Formula for confidence interval = \left( \bar{X} \pm t_{n-1, \frac{\alpha}{2}\%} \frac{s}{\sqrt{n}} \right)

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confidence interval = \left( 0.7 \pm t_{7, \frac{5}{2}\%} \frac{1.3201}{\sqrt{8}} \right)

From the t-table.

The value of t_{7, \frac{5}{2}\%=2.365

Confidence interval = ( 0.7 \pm 2.365}\times \frac{1.3201}{\sqrt{8}}) \right)

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The 95\% confidence interval tells us about that 95\% chances of the true mean or population mean lies in the interval.

Yes, the hypnotism appear to be effective in reducing pain as confidence interval include includes the positive deviation from the mean.

Learn More:

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Answer Details:

Grade: College Statistics

Subject: Mathematics

Chapter: Confidence Interval

Keywords:

Probability, Statistics, Speed dating, Females rating, Confidence interval, t-test, Level of significance , Normal distribution, Central Limit Theorem, t-table, Population mean, Sample mean, Standard deviation, Symmetric, Variance.

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