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erik [133]
3 years ago
7

What percent of 48 is 18

Mathematics
1 answer:
arsen [322]3 years ago
6 0
To find the percent you take 18 and divide it by 48, so you get 9/24 or 3/8, by using calculator you get .375 which is 37.5% then you multiply by 100 to convert a decimal to a percentage.
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Answer:

95% Confidence interval for the variance:

3.6511\leq \sigma^2\leq 34.5972

95% Confidence interval for the standard deviation:

1.9108\leq \sigma \leq 5.8819

Step-by-step explanation:

We have to calculate a 95% confidence interval for the standard deviation σ and the variance σ².

The sample, of size n=8, has a standard deviation of s=2.89 miles.

Then, the variance of the sample is

s^2=2.89^2=8.3521

The confidence interval for the variance is:

\dfrac{ (n - 1) s^2}{ \chi_{\alpha/2}^2} \leq \sigma^2 \leq \dfrac{ (n - 1) s^2}{\chi_{1-\alpha/2}^2}

The critical values for the Chi-square distribution for a 95% confidence (α=0.05) interval are:

\chi_{0.025}=1.6899\\\\\chi_{0.975}=16.0128

Then, the confidence interval can be calculated as:

\dfrac{ (8 - 1) 8.3521}{ 16.0128} \leq \sigma^2 \leq \dfrac{ (8 - 1) 8.3521}{1.6899}\\\\\\3.6511\leq \sigma^2\leq 34.5972

If we calculate the square root for each bound we will have the confidence interval for the standard deviation:

\sqrt{3.6511}\leq \sigma\leq \sqrt{34.5972}\\\\\\1.9108\leq \sigma \leq 5.8819

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A line that perpendicular to the line y= 2/3x + 4 and goes through the point (-2,5)
gayaneshka [121]

step 1

Find the slope of the given line

we have

y=(2/3)x+4

the slope is m=2/3

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal

so

the slope of the perpendicular line to the given line is

m=-3/2

step 2

Find the equation of the line in slope intercept form

y=mx+b

we have

m=-3/2

point (-2,5)

substitute

5=(-3/2)(-2)+b

solve for b

5=3+b

b=2

therefore

<h2>y=-(3/2)x+2</h2>
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You receive an 11 percent commission on all sales you make if your commission for the month is 512.50 dollars what was your tota
JulijaS [17]

Total sales were $4659.1

Step-by-step explanation:

Given,

Commission = 11%

Amount of commission = $512.50

Let,

total sales = x

Therefore,

11% of x = 512.50

\frac{11}{100}x=512.50\\0.11x=512.50

Dividing both sides by 0.11

\frac{0.11x}{0.11}=\frac{512.50}{0.11}\\x= $4659.1

Total sales were $4659.1

Keywords: percentage, division

Learn more about division at:

  • brainly.com/question/13076219
  • brainly.com/question/13096001

#LearnwithBrainly

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