Answer:
1. Range is 37,IQR is 16.5, MAD is 9
2.Range is 35,IQR is 14, MAD is 8
3. Range is 76,IQR is 37, MAD is 19.1
4. Range is 8, IQR is 4, Mad is 20.4
5. Range is 62,IQR is16 , MAD is 13.08
6. Range is 42,IQR is 23,MAD is 12
Step-by-step explanation:
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Answer:
x = 2 cm
y = 2 cm
A(max) = 4 cm²
Step-by-step explanation: See Annex
The right isosceles triangle has two 45° angles and the right angle.
tan 45° = 1 = x / 4 - y or x = 4 - y y = 4 - x
A(r) = x* y
Area of the rectangle as a function of x
A(x) = x * ( 4 - x ) A(x) = 4*x - x²
Tacking derivatives on both sides of the equation:
A´(x) = 4 - 2*x A´(x) = 0 4 - 2*x = 0
2*x = 4
x = 2 cm
And y = 4 - 2 = 2 cm
The rectangle of maximum area result to be a square of side 2 cm
A(max) = 2*2 = 4 cm²
To find out if A(x) has a maximum in the point x = 2
We get the second derivative
A´´(x) = -2 A´´(x) < 0 then A(x) has a maximum at x = 2
Answer:
A. 133 degrees
Step-by-step explanation:
You add the two known interior numbers in the triangle to find the unknown exterior variable. In this case, the two known interior numbers are 83 and 50. 83 + 50 = 133
The answer is letter is C. 19.5 Because you divide