The mean absolute deviation, rounded to the nearest hundredth, is: 11.67 calories.
<h3>How to Find the Mean Absolute Deviation?</h3>
To find the mean absolute deviation, find the mean of the data then find the average distance of each data point from the mean.
Given the data, 61, 42, 52, 27, 35, 23:
Mean = (61 + 42 + 52 + 27 + 35 + 23)/6
Mean = 240/6
Mean = 40
Mean absolute deviation = [(61 - 40) + ( 42 - 40) + ( 52 - 40) + ( 27 - 40) + ( 35 - 40) + ( 23 - 40) 6 = (21) + (2) + (12) + (13) + (5) + (17)] / 6 = 70/6
Mean Absolute Deviation = 11.67 calories.
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The degree of the polynomial f(x) = 2x(x - 3)³(x + 1)(4x - 2) is 6, and the dominant term is - 216x²
<h3>The degree of the polynomial?</h3>
The polynomial function is given as:
f(x) = 2x(x - 3)³(x + 1)(4x - 2)
To determine the degree, we simply add the multiplicities.
So, we have:
Degree = 1 + 3 + 1 + 1
Evaluate
Degree = 6
Hence, the degree of the polynomial is 6
<h3>The dominant term of the polynomial</h3>
We have:
f(x) = 2x(x - 3)³(x + 1)(4x - 2)
Expand
f(x) = 8x⁶ - 68x⁵ + 176x⁴ - 72x³ - 216x² + 108x
The term with the highest absolute value is - 216x²
Hence, the dominant term is - 216x²
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8y^8. Square root of 64 is 8 and for exponents you divide by 2 to find its square root
Answer:
Shape B
Step-by-step explanation:
If you reflect Shape C over X it fits into Shape D. Then reflected over Z it fits into Shape B. Therefore, the final shape would be B.
5 = what percent of 23
5 = x% of 23
5 = (x/100)*23
5 = 23x/100
5*100 = 23x
23x = 5*100
x = 5*100/23
x = 21.739
5 is ≈ 21.739% of 23
