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mars1129 [50]
4 years ago
7

Sharif's portfolio generated returns of 12 percent, 15 percent, −15 percent, 19 percent, and −12 percent over five years. What w

as his average return over this period?
3.8 percent

2.1 percent

17 percent

19 percent
Mathematics
1 answer:
qwelly [4]4 years ago
8 0

Answer:

3.8 percent

Step-by-step explanation:

To find his average return over n years, we sum all of his returns, and divide by n.

In this problem:

5 years.

The sum is (12 + 15 - 15 + 19 - 12) = 19

19/5 = 3.8

So the correct answer is:

3.8 percent

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Which of the following is the equation for the graph shown?
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The equation of an ellipse for the graph shown is \frac{x^2}{5^2} + \frac{y^2}{21^2} = 1

<h3>How to determine the equation?</h3>

Since the given coordinates of the vertices and foci have the form (-5, 0) and (5, 0) and (-2, 0) and (2, 0) respectively, this ultimately implies that the major axis of this ellipse is the x-axis.

Thus, the standard form of the equation of this ellipse is given by:

\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1

Next, we would solve for b² by using this equation:

b² = a² - c²

b² = 5² - 2²

b² = 25 - 4

b² = 21.

Substituting the parameters into the standard equation of an ellipse, we have;

\frac{x^2}{5^2} + \frac{y^2}{21^2} = 1

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2 years ago
Which statement about a histogram is true?
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The correct answer is b) Histograms can be used to exhibit the shape of distributions. This is because histograms count the frequency of each possible answer (not each individual value), so one is able to see which results are more common and which are less common.
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3 years ago
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In a sample of 8 high school students, they spent an average of 28.8 hours each week doing sports with a sample standard deviati
Alja [10]

Answer:

26.12\:

Step-by-step explanation:

Since the population standard deviation \sigma is unknown, and the sample standard deviation s, must replace it, the t distribution  must be used for the confidence interval.

The sample size is n=8.

The degree of freedom is df=n-1, \implies df=8-1=7.

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28.8-2.365(\frac{3.2}{\sqrt{8} } )\:.

26.12\:

We are 95% confident that the population mean is between 26.12 and 31.48  hours.

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3 years ago
Which type of triangle is formed given the following angle measurements?
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Answer:

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