Answer:
23.714285714286
Step-by-step
The mean absolute deviation of a set of data is the average distance between each data value and the mean.
1. Find the mean.
2. Find the distance between each data value and the mean. That is, find the absolute value of the difference between each data value and the mean.
3. Find the average of those differences.
We try to represent each number inside the square root as a product of a square and another number.
a) 7√32 - 5√2 + √8
√32 = √(16 *2) = √16 * √2 = 4* √2 = 4√2
√8 = √(4 *2) = √4 * √2 = 2* √2 = 2√2
7√32 - 5√2 + √8 = 7*(4√2) - 5√2 + 2√2 =
= 28√2 - 5√2 + 2√2 Factorize out √2
= (28 - 5 + 2)√2
= 25√2
b) 2√150 - 4√54 + 6√24
√150 = √(25 * 6) = √25 * √6 = 5*√6 = 5√6
√54 = √(9 * 6) = √9 * √6 = 3*√6 = 3√6
√24 = √(4 * 6) = √4 * √6 = 2*√6 = 2√6
2√150 - 4√54 + 6√24 = 2*(5√6) - 4*(3√6) + 6*(2√6)
= 2*5√6 - 4*3√6 + 6*2√6
= 10√6 - 12√6 + 12√6 Factorize √6
= (10 - 12 + 12)√6
= 10√6
Answer:
EF = 44 ft
Step-by-step explanation:
Given that ABCD is congruent to EFGH, it follows that their corresponding lengths and angles would be congruent to each other.
This means, for the sides:
AB = EF,
BC = FG,
CD = GH
AD = EH.
Therefore, if AB = 44 ft, corresponding side, EF = 44 ft
Answer:
The answer is 50
Step-by-step explanation:
Got it right on edge