The equation of an ellipse for the graph shown is 
<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:

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;

Read more on ellipse here: brainly.com/question/14468579
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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.
Answer:

Step-by-step explanation:
Since the population standard deviation
is unknown, and the sample standard deviation
, must replace it, the
distribution must be used for the confidence interval.
The sample size is n=8.
The degree of freedom is
,
.
With 95% confidence level, the
(significance level) is 5%.
Hence with 7 degrees of freedom,
. (Read from the t-distribution table see attachment)
The 95% confidence interval can be found by using the formula:
.
The sample mean is
hours.
The sample sample standard deviation is
hours.
We now substitute all these values into the formula to obtain:
.

We are 95% confident that the population mean is between 26.12 and 31.48 hours.
Hello,
The correct answer is 52!
Hope this helps!
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