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ziro4ka [17]
3 years ago
10

"How much do students pay, on average, for textbooks during the first semester in college? From a random sample of 400 students

the mean cost was found to be $357.75 ,and the sample standard deviation was $37.89. Assuming that the population is normally distributed, find the margin of error of a 95% confidence interval for the population mean. Compute the confidence interval and describe in words what it means."
Mathematics
1 answer:
dezoksy [38]3 years ago
7 0

Answer: The margin of error = 3.71, confidence interval = (354.04, 361.46) and it means that mean cost is lies within the confidence interval.

Step-by-step explanation:

Since we have given that

Sample size = 400

Mean = $357.75

Standard deviation = $37.89

At 95% confidence level, z = 1.96

We first find the margin of error.

Margin of error is given by

z\times \dfrac{\sigma}{\sqrt{n}}\\\\=1.96\times \dfrac{37.89}{\sqrt{400}}\\\\=3.71

95% confidence interval would be

\bar{x}\pm \text{margin of error}\\\\=357.75\pm 3.71\\\\=(357.75-3.71,357.75+3.71)\\\\=(354.04,361.46)

Hence, the margin of error = 3.71, confidence interval = (354.04, 361.46) and it means that mean cost is lies within the confidence interval.

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x + 20 = measure of her sibling.


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f(x) = x

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For tax purposes, a car rental company assumes each car in their fleet depreciates by 6% per year. If the initial value of a car
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The value of a car after 10 years be $20898.27 if the car rental company assumes each car in their fleet depreciates by 6% per year option (a) $20898.27 is correct.

<h3>What is an exponential function?</h3>

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We can solve this problem by exponential function:

The word  depreciate means the price is decreasing.

We can find the value be when the car is 10 years old:

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Thus, the value of a car after 10 years be $20898.27 if the car rental company assumes each car in their fleet depreciates by 6% per year option (a) $20898.27 is correct.

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Answer:

[14] 139

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Step-by-step explanation:

[14] Since m ∠ CEB is vertical with m ∠ AED = 139

[15] Knowing that m ∠FBD = 90 degree then m ∠ CEF = 90 degree

[16] Since m ∠ DEB is vertical to m ∠ADC Thus answer = 41

Note: vertical angles are angles opposite each other where two lines cross.

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<u><em>~Lenvy~</em></u>

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