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labwork [276]
1 year ago
8

Find the domain and range of the function graphed below, in interval notation. Domain and range

Mathematics
1 answer:
DochEvi [55]1 year ago
6 0

Answer:

(-5, 4]

Step-by-step explanation:

Range is the set of possible outputs for a function within the given domain. It is usually represented in terms of minimum and max values

In the graph, the minimum value is -5 (not including this value) and this occurs at x = 3;  the max value is 4 at x = 0

So range is -5 < x ≤ 4

which in interval notation is

(-5, 4]

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3 years ago
It is thought that not as many Americans buy presents to celebrate Valentine's Day anymore. A random sample of 40 Americans yiel
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98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day

 (0.3672 , 0.7328)

Step-by-step explanation:

<u><em>Explanation:</em></u>-

Given Random sample size n =40

Sample proportion

                            p = \frac{x}{n} = \frac{22}{40} = 0.55

98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day

   

          (p-Z_{\alpha } \sqrt{\frac{pq}{n} } , p + Z_{\alpha } \sqrt{\frac{pq}{n} } )

         

The Z-value Z₀.₉₈ = Z₀.₀₂ = 2.326

98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day

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