Hello from MrBillDoesMath!
Answer:
40
Discussion:
A diagram is always appreciated!
Assuming that
mAOC = mAOB + mBOC =>
108 = (3x + 4) + (8x - 28) => combine common terms
108 = (3x + 8x) + (4 - 28 ) =>
108 = 11x - 24 => add 24 to both sides
132 = 11x =>
x = 132/11 = 12
So mAOB = 3x + 4 = 3(12) + 4 = 36 + 4 = 40
Thank you,
MrB
For this case we must indicate an expression equivalent to:
For properties of powers we have to:
So, the above expression can be rewritten as:
Thus, the resulting expression is: 
Answer:
Option D
Answer:
−40+2n=−4n+8
−40+2n+40=−4n+8+40
2n=−4n+48
2n+4n=−4n+48+4n
6n=48
answer: n=8
Step-by-step explanation:
Net pay = $453.10
Gross pay = $734
Take home percent of the gross pay = (453.10/734) * 100
= 61.73%
From the above deduction, it can be easily concluded that the Take-Home percent of the Gross Pay is 61.73%. I hope that this is the answer that you were looking for and the answer has actually come to your desired help.
(a) I can't help you with using your calculator for this part, but if you have some familiarity with your device you can check your answer with mine.
The mean is simply the sum of all the house costs divided by the number of houses:
(75k + 75k + 150k + 155k + 165k + 203k + 750k + 755k)/8 = 291k
So the population mean is $291,000.
The population standard deviation is the square root of the population variance. To get the variance, you take the sum of all the squared differences between the cost and the mean cost, then divide that sum by the number of houses. That is,
[(75k - 291k)² + (75k - 291k)² + … + (755k - 291k)²]/8 = 581,286k
Note that the variances is measured in square dollars. Then the standard deviation is
√(581,286k) ≈ $762,421.1
(b) The median is just the price in the middle. There were 8 houses sold, so there are 2 "middle" prices. The median is the average of these:
(155k + 165k)/2 = 160k = $160,000
(c) Yes, the mode is the data that shows up most frequently. This happens at the lower end, with $75,000 appearing twice.
