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zubka84 [21]
3 years ago
8

3. Put the following in order from least to greatest. e^4, 23, e^2, 3e, e^e

Mathematics
1 answer:
Darina [25.2K]3 years ago
6 0
Okay so I had to round each of these numbers to the nearest tenth so hope that doesn’t mess up anything. What I got was e^4 = 54.6, 23 = 23,e^2 = 7.4, 3e = 8.2, e^e = 15.2 hope these help.
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The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp
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Answer:

The 95% confidence interval for the population mean rating is (5.73, 6.95).

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{50}(6+4+6+. . .+6)\\\\\\M=\dfrac{317}{50}\\\\\\M=6.34\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{49}((6-6.34)^2+(4-6.34)^2+(6-6.34)^2+. . . +(6-6.34)^2)}\\\\\\s=\sqrt{\dfrac{229.22}{49}}\\\\\\s=\sqrt{4.68}=2.16\\\\\\

We have to calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=6.34.

The sample size is N=50.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

s_M=\dfrac{s}{\sqrt{N}}=\dfrac{2.16}{\sqrt{50}}=\dfrac{2.16}{7.071}=0.305

The degrees of freedom for this sample size are:

df=n-1=50-1=49

The t-value for a 95% confidence interval and 49 degrees of freedom is t=2.01.

The margin of error (MOE) can be calculated as:

MOE=t\cdot s_M=2.01 \cdot 0.305=0.61

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 6.34-0.61=5.73\\\\UL=M+t \cdot s_M = 6.34+0.61=6.95

The 95% confidence interval for the mean is (5.73, 6.95).

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Answer:

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The third one.

The last one.

Step-by-step explanation:

Hope this helps!

6 0
2 years ago
Research about 5 monuments around the world where Roman numerals are used to depict the year in which they were built explain in
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Answer:

Modern uses. Roman numerals are still used today and can be found in many places. They are still used in almost all cases for the copyright date on films, television programmes, and videos - for example MCMLXXXVI for 1986.

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