Answer:
As per dot plots we see the distribution of prices is close but majority of prices are concentrated in different zones. So MAD would be more similar by the look.
<u>Let's verify</u>
<h3>Neighborhood 1</h3>
<u>Data</u>
- 55, 55, 60, 60, 70, 80, 80, 80, 90, 120
<u>Mean</u>
- (55*2+ 60*2+ 70+ 80*3 + 90+ 120)/10 = 75
<u>MAD</u>
- (20*2+15*2+5+5*3+15+45)/10 = 15
<h3>Neighborhood 2</h3>
<u>Data</u>
- 100, 110, 110, 110, 120, 120, 120, 140, 150, 160
<u>Mean</u>
- (100 + 110*3+ 120*3+ 140 + 150+ 160)/10 = 124
<u>MAD</u>
- (24+14*3+4*3+16*3+16+26+36)/10 = 20.4
As we see the means are too different (75 vs 124) than MADs (15 vs 20.4).
So we have to simplify this equation:
4x+5-10+3x=57
Add like terms:
7x-5=57
Then add 5 to both sides:
7x=62
x=62/7
The given equation is
m = ak/n
We want to solve for k
The first step is to multiply both sides of the equation by n. We have
m * n = ak/n * n
mn = ak
The next step is to divide both sides of the equation by a. We have
mn/a = ak/a
mn/a = k
k = mn/a
The correct option is the second one
By substitution.
Get y or x alone then insert it into the other equation solving for one of the two variables. After that substitute ur answer into one of the equations then solve.
Assume 0 < <em>x</em>/2 < <em>π</em>/2. Then
tan²(<em>x</em>/2) + 1 = sec²(<em>x</em>/2) ===> sec(<em>x</em>/2) = √(1 - tan²(<em>x</em>/2))
===> cos(<em>x</em>/2) = 1/√(1 - tan²(<em>x</em>/2))
===> cos(<em>x</em>/2) = 1/√(1 - <em>t</em> ²)
We also know that
sin²(<em>x</em>/2) + cos²(<em>x</em>/2) = 1 ===> sin(<em>x</em>/2) = √(1 - cos²(<em>x</em>/2))
Recall the double angle identities:
cos(<em>x</em>) = 2 cos²(<em>x</em>/2) - 1
sin(<em>x</em>) = 2 sin(<em>x</em>/2) cos(<em>x</em>/2)
Then
cos(<em>x</em>) = 2/(1 - <em>t</em> ²) - 1 = (1 + <em>t</em> ²)/(1 - <em>t</em> ²)
sin(<em>x</em>) = 2 √(1 - 1/(1 - <em>t</em> ²)) / √(1 - <em>t</em> ²) = 2<em>t</em>/(1 - <em>t</em> ²)
