Answer: 
Step-by-step explanation:
1. The problem asked for the product of
and
, therefore, you must mutliply them, as you can see below:
2. According the exponents propertiess, when you have a multiplication of two powers that has the equal base, you must add the exponents. THerefore, you have the following result:
11, 12, 15, 16, 20, 20, 25
Mean: 17
The range is 25-11 = 14 (the numbers in bold)
The interquartile range is 20-12=8 (the numbers underlined)
The mean absolute deviation is: 4; this is found by finding how far each number is from 17 (mean): 6,5,2,1,3,3,8 (28) and dividing by 7.
Part B:
The prices vary by no more that $14 (range).
<span>The middle half of the prices vary by no more than $8 (IQR).
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<span>The admission prices differ from the mean price by an average of $4 (MAD).</span>
To solve for the quadratic equation 9x² = 4, we need to recall that the difference between two square can be expressed as the product of their sum and difference or (a² - b²) = (a + b)(a - b).
Thus, we have
9x² = 4
9x² - 4 = 0
(3x)² - (2)² = 0
(3x + 2)(3x - 2) = 0
We now have two linear equations:
3x + 2 = 0 | 3x - 2 = 0
3x = -2 | 3x = 2
x = -2/3 | x = 2/3
Thus, x = +2/3 and -2/3.<span>
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