To solve this question, we know we have to find the Mean Absolute Deviation. That means that we have to add all the numbers that we were given, find the mean of them, find how much all of the numbers stray away from the mean, and then find the average of how far these numbers stray away from the mean.
The first step is to find the mean.

=
=

=
=812.5 That means the mean is 812.5. Now we need to find how much each of the values deviates from the mean (for simplicity's sake, I will use 813 as the mean).
545 deviates 268, 620 deviates 193, 775 deviates 38, 775 deviates 38, 810 deviates 3, 905 deviates 92, 950 deviates 137, and 1120 deviates 307. Now we need to find the average of these quantities. After doing all the math, one can figure out that the average for these numbers is 134.5, meaning that the Mean Absolute Deviation for these numbers is 134.5.
Cube root of any value x means the power of or exponent of 1/3 of x.
X^1/3
if you square it,
the power of a power is multiplied according to exponent laws.
Hence,
===> (X^1/3)^2
= X^2/3
Now,
Square root of any value x means the power of or exponent of 1/2 of x.
X^1/2
if you cube it,
the power of a power is multiplied according to exponent laws.
<span>Hence,
</span>===> <span>(X^1/2)^3
</span> <span>= X^3/2
Hope it helps</span>
Find the greatest common factor. In this case it is 3. Divide each group by 3.
15÷3=5 quarters
30÷3=10 dimes
48÷3=16 nickels
Next count them by the coin's value:
5 × 0.25 = $1.25
10 × 0.10 = $1
16 × 0.05 = $0.80
Add them up:
= $3.05 in each group and there are three groups.
So, the greatest number of groups that he can make is 3; there will be 5 quarters, 10 dimes, and 16 nickels in each group, which is worth $3.05 in each group.
9514 1404 393
Answer:
a) <8.356, 9.959>
b) <-0.605, -1.663>
c) <-5.023, 2.9>
Step-by-step explanation:
Many calculators can perform polar ⇔ rectangular conversion. Attached is the result from one of them. Of course, you can also program a spreadsheet to do it. (The ATAN2( ) function is useful for finding the correct angle.)
If you want to do these calculations by hand, the conversion is ...
<r, θ> ⇒ <r·cos(θ), r·sin(θ)>
In the attached, the rectangular coordinates are shown as complex numbers. The imaginary component is the y-component of the vector.
Answer: y = -1
Explanation: the y axis is the vertical line, the crossing line intersects at -1.
Hope this helps!