Answer:
Mean: 78.8
M.A.D(Mean Absolute Deviation): 2.3
Step-by-step explanation:
Mean: 73, 75, 76, 78, 78, 79, 79, 80, 81, 81, 82, 84 = 946/12 = 78.8
Mean Absolute Deviation (M.A.D):
78.8 - 73 = 5.8
78.8 - 75 = 3.8
78.8 - 76 = 2.8
78.8 - 78 = 0.8
78.8 - 78 = 0.8
78.8 - 79 = 0.2
78.8 - 79 = 0.2
78.8 - 80 = 1.2
78.8 - 81 = 2.2
78.8 - 81 = 2.2
78.8 - 82 = 3.2
78.8 - 84 = 5.2
5.8 + 3.8 + 2.8 + 0.8 + 0.8 + 0.2 + 0.2 + 1.2 + 2.2 + 2.2 + 3.2 + 5.2 = 28.4/12 = 2.3
~hope this helps~
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Given:
Total amount invested = $9,000
interest rates = 4% and 6%
Let x be the part of 9,000.
Note that annual return on each investment is the same.
0.04x = 0.06(9,000 - x)
0.04x = 540 - 0.06x
0.04x + 0.06x = 540
0.10x = 540
x = 540/0.10
x = 5,400
0.04x = 0.06(9,000 - x)
0.04(5,400) = 0.06(9,000 - 5,400)
216 = 0.06(3,600)
216 = 216
total interest for the year : 216 + 216 = 432
Interest = pricipal * interest rate * term
432 = 9,000 * interest rate * 1 yr
432/9,000 = interest rate
0.048 = interest rate
Interest rate would be 4.8% to get the same interest from the whole 9,000.
the volume of the ball is 523.3. since the formula for the volume is 4/3*pi*r^3, the radius of ball is 5 in. Therefore, the diameter of the ball and the height of the box is 10.
Answer:
The distance across the lake is 3.5 km
Step-by-step explanation:
Hypotenuse is divided in equal parts. Thus both sides are divided in the same proportion.
