Using pythagorean identities,tan(sin^-1(-5/13))= tan(arcsin(-5/13))
Let A = arcsin(-5/13) = -arcsin(5/13)
Thus, sin A = -5/13 and cos A = sqrt(1 - (5/13)^2) = 12/13.= tan(A)= sin(A) / cos(A)= -5/13 / (12/13)= -5/12
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Using it's concept, it is found that the mean absolute deviation of 2.8 means that the heights differ from the mean by an average of 2.8 inches.
<h3>What is the mean absolute deviation of a data-set?</h3>
- The mean of a data-set is given by the sum of all observations divided by the number of observations.
- The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.
- The mean absolute deviation represents the average by which the values differ from the mean.
In this problem, the mean is given by:
M = (65 + 58 + 64 + 61 + 67)/5 = 63.
Hence the mean absolute deviation is given by:
MAD = (|65-63| + |58-63| + |64-63| + |61-63| + |67-63|)/5 = 14/5 = 2.8.
The mean absolute deviation of 2.8 means that the heights differ from the mean by an average of 2.8 inches.
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Step-by-step explanation:
u can answer 1.08 or 1.08 × 10^0
The volume of a rectangular box is equal to the area of its base times the vertical height. Thus,
V = Ah = 80
Since the base is a square with side x, then the area is equal to x². Hence, we can express h in terms of x.
80 = x²h
h = 80/x²
Now, each lateral side of the rectangular box is in the shape of a rectangle with a length of h and a width of w. Hence, the equation for the total cost would be:
Total Cost = Cost per area of lower base + Cost per area of upper base + 4(Cost per area of lateral side)
Total Cost = 0.45x² + 0.28x² + 4(0.10h*x)
Total Cost = 0.73x² + 0.4hx
Since h = 80/x²,
Total Cost = 0.73x² + 0.4(80/x²)(x)
Total Cost ($) = 0.73x² +32/x
The solution of -2(3x+9)=24 is x= -7
