Answer:
The average for the sampling distribution of the sample proportion is 0.29
The standard deviation for this sampling distribution is 0.01435
Step-by-step explanation:
The mean of the sampling distribution for the sample proportion equals the actual population proportion, which is p = 0.29 in this scenario.
The standard deviation for the sampling distribution of the sample proportion is computed as follows;

Utilizing the provided values;
p = 0.29
1 - p = 0.71
n = 1000
The standard deviation computes to;

Thus, the standard deviation is 0.01435.
<span>A typical door measures about 80 inches tall by 36 inches wide. The width in that pair is 36 inches, so Hank's reasonable estimate for the classroom door width would be 36 inches. Converting inches to feet uses 12 inches = 1 foot, and 36 ÷ 12 = 3, so the width is about 3 feet.</span>
The system of equations to consider would include: p + m = 19 and 0.25p + 0.75m = 11.50. To establish this system, first define the total amount bought with the initial equation where p signifies pens and m denotes markers. The subsequent equation will utilize cost alongside the total expenditure.
The question is as follows:
<span>In what ways does the graph of g(x)=1/x-5+2 differ from the graph of the parent function f(x)=1/x?
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Solution:
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The given function ⇒

The parent function of the provided function ⇒

After graphing both equations, as illustrated in the attached image.
It can be concluded that
<span>g(x) is translated 5 units to the right and 2 units upwards from f(x).
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Thus, the correct answer is option 2<span />