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Nata [24]
3 years ago
6

Greatest president ~ A Gallup Poll of American adults in February 2009 asked the following question. "Which of the following pre

sidents would you regard as the greatest: Washington, Franklin Roosevelt, Lincoln, Kennedy, or Reagan?" The order of the presidents was rotated to avoid bias. Based on the sample, a 95% confidence interval for the actual proportion American adults who choose Lincoln as the greatest is given by (0.1759, 0.2204).
What is the sample proportion? Give the exact answer as a decimal.
Mathematics
1 answer:
Anastasy [175]3 years ago
6 0

Answer:

The sample proportion is 0.19815

Step-by-step explanation:

A confidence interval has two bounds, a lower bound and an upper bound. The sample proportion is the halfway point between these two bounds, that is, the sum of the bounds divided by 2.

In this problem, we have that:

Lower bound: 0.1759

Upper bound: 0.2204

Sample proportion:

(0.1759 + 0.2204)/2 = 0.19815

The sample proportion is 0.19815

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Suppose that is in standard position and the given point is on the terminal side of 0. Give the exact value of the indicated tri
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  12/13

Step-by-step explanation:

The length of the segment from the origin to the terminal point is ...

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_____

Additional comment

The other trig functions are ...

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6 0
2 years ago
Given that f(x)=x^2-4x -3 and g(x)=x+3/4 solve for f(g(x)) when x=9
SSSSS [86.1K]

Answer:

f(g(9)) = 945/16

Step-by-step explanation:

To find f(g(x)), you have to substitute g(x) wherever there is an x in f(x).

g(x) = x + 3/4

f(x) = x² - 4x - 3

f(g(x)) = (x + 3/4)² - 4(x + 3/4) - 3

f(g(x)) = x² + 3/2x + 9/16 - 4x + 3 - 3

f(g(x)) = x² - 5/2x + 9/16 + 3 - 3

f(g(x)) = x² - 5/2x + 9/16

Now, put a 9 wherever there is an x in f(g(x)).

f(g(9)) = (9)² - 5/2(9) + 9/16

f(g(9)) = 81 - 5/2(9) + 9/16

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f(g(9)) = 117/2 + 9/16

f(g(9)) = 945/16

7 0
3 years ago
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