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Answer:
a. 4.33.
Step-by-step explanation:
If there is only one correct answer out of four alternatives, the expected proportion of correct answers is p =0.25
Sample size (n) = 100 questions
The standard deviation of a proportion 'p' is given by:
Applying the given data:
If X is the number of correct responses in 100 guesses, the standard deviation of X is:
The standard deviation of X is 4.33 questions.
<h2>Hello!</h2>
The answer is:
1017.88 square feet are blue.
<h2>Why?</h2>To calculate how many square feet are blue, we need to calculate the area of the bottom of the circular swimming pool.
We need to remember that we can calculate the area of any circle using the following formula:
Now, we know that the diameter of the bottom is equal to 36 feet, so, we can calculate the radius of the bottom using the following formula:
So,
Then, calculating the area we have:
Hence, we have that 1017.88 square feet are blue.
Have a nice day!