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3 years ago

What is 100,000,000 written as a power of ten? a. 10^8 b. 10^9 c. 10^10 d. 10^11

Mathematics

1 answer:

Minchanka [31]3 years ago

7 0

$100,000,000 = 100 \times 10^6 = 1\times 10^8\\~~\underbrace{~~~~~~~~~~~~~~~}\\~~~~~~~~~8$

Your answer is a. 10^8

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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

Read 2 more answers

What is the percentage change for 60 to 35

Reil [10]

Let x represent the percentage change. The percentage change is a factor that the original number is multiplied to get the new number.

60*x = 35
x = 35/65 = 0.53846 = 53.846%

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3 years ago

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Furkat [3]

Answer

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Step-by-step explanation:

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3 years ago

Sylvie finds the solution to the system of equations by graphing.

Goryan [66]

Answer:

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2 years ago

Write an inequality to represent the two amounts , Gita used 6.18 pounds of strawberries and 6.1 pounds of raspberries to make j

Ganezh [65]

Answer:

Strawberry > Rasberry

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Step-by-step explanation:

Data provided in the question

Strawberry = 6.18 pound

Raspberry = 6.1 pound

Based on the above information

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So, equality would be represented as a

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6.18 > 6.1

Therefore we use the greater sign to show the inequality

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3 years ago