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2 years ago

The perimeter of one face of a cube is 16cm. Calculate the volume of the cube.

Mathematics

1 answer:

erastova [34]2 years ago

4 0

Answer:

Step-by-step explanation:

Perimeter equation: Length + Width * 2

so divide 2 by 16

which gives you 8 and minus that by its half so you get 4

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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

blondinia [14]

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 = $8$

Mean of difference = $0.7$

Sample standard deviation $s$ = $1.3201$

Level of significance = $5\%$

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

confidence interval = $\left( 0.7 \pm t_{8-1, \frac{5}{2}\%} \frac{1.3201}{\sqrt{8}} \right)$

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

Confidence interval = $\left( 0.7 - 2.365}\times \0.4667,0.7 + 2.365}\times \0.4667) \right$

Confidence interval = $(0.7-1.1037,0.7+1.1037)$

Confidence interval = $\fbox{(-0.4037,1.8037)}$

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:

1. Learn more about equation of circle brainly.com/question/1506955

2. Learn more about line segments brainly.com/question/909890

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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3 years ago

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Hi! im not sure if my answer is correct or not can someone check me :)

Maslowich

It is correct goodluck

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2 years ago

27 bags is not the answer

Alinara [238K]

Answer:

It's 27 bags your teacher just dum

Step-by-step explanation:

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There are 120 people on the bus 50% get off at the first stop 20% get off at the second stop. The rest get off on the third stop

erastova [34]

Answer:

48 people

Step-by-step explanation:

First, find how many were left after the first stop:

120(0.5)

= 60

Find how many were left after the second stop:

60(0.8)

= 48

So, since the rest got off on the third stop, this means 48 people got off on the third stop.

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nataly862011 [7]

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