Solution :
Given :
X = homicide rate (homicides per 100,00 population)
n = 12 = metropolitan areas
Area X (homicides per 100,000 population)
Mesa, AZ 4.1
Seattle, WA 3.8
Portland, OR (tie) 3.4
New York, NY(tie) 3.4
Virginia beach, VA 3.3
San Jose, CA 3.1
EI, Paso, TX 2.6
Austin, TX 2.6
San Diago, CA 2.4
Suffolk County 2.2
Montgomery, MD 2.0
Fairfax, VA 1.7
Therefore, the mean of X = 

= 2.9
Therefore, the mean of homicide rater in the 12 metropolitan areas is 2.9 homicide per 100,000 population.
Check the picture below.
let's firstly convert the mixed fractions to improper fractions and then subtract.
![\stackrel{mixed}{42\frac{1}{2}}\implies \cfrac{42\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{85}{2}} ~\hfill \stackrel{mixed}{67\frac{3}{7}}\implies \cfrac{67\cdot 7+3}{7}\implies \stackrel{improper}{\cfrac{472}{7}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{472}{7}~~ - ~~\cfrac{85}{2}\implies \cfrac{(2)472~~ - ~~(7)85}{\underset{\textit{using this LCD}}{14}}\implies \cfrac{944~~ - ~~595}{14}\implies \cfrac{349}{14}\implies 24\frac{13}{14}](https://tex.z-dn.net/?f=%5Cstackrel%7Bmixed%7D%7B42%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B42%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B85%7D%7B2%7D%7D%20~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B67%5Cfrac%7B3%7D%7B7%7D%7D%5Cimplies%20%5Ccfrac%7B67%5Ccdot%207%2B3%7D%7B7%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B472%7D%7B7%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B472%7D%7B7%7D~~%20-%20~~%5Ccfrac%7B85%7D%7B2%7D%5Cimplies%20%5Ccfrac%7B%282%29472~~%20-%20~~%287%2985%7D%7B%5Cunderset%7B%5Ctextit%7Busing%20this%20LCD%7D%7D%7B14%7D%7D%5Cimplies%20%5Ccfrac%7B944~~%20-%20~~595%7D%7B14%7D%5Cimplies%20%5Ccfrac%7B349%7D%7B14%7D%5Cimplies%2024%5Cfrac%7B13%7D%7B14%7D)
Answer: 75
Step-by-step explanation:
Plug in 7 for x and 5 for y
10(7)+5
70+5
75
Check the picture below.
notice the alternate interior angles in the picture.
![\bf tan(68^o)=\cfrac{\stackrel{opposite}{1.5}}{\stackrel{adjacent}{x}}\implies x=\cfrac{1.5}{tan(68^o)}\implies x\approx 0.61 \\\\[-0.35em] ~\dotfill\\\\ tan(56^o)=\cfrac{\stackrel{opposite}{1.5}}{\stackrel{adjacent}{w}}\implies w=\cfrac{1.5}{tan(56^o)}\implies w\approx 1.01 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{\textit{width of the crater}}{x+w\implies 1.62}~\hfill](https://tex.z-dn.net/?f=%5Cbf%20tan%2868%5Eo%29%3D%5Ccfrac%7B%5Cstackrel%7Bopposite%7D%7B1.5%7D%7D%7B%5Cstackrel%7Badjacent%7D%7Bx%7D%7D%5Cimplies%20x%3D%5Ccfrac%7B1.5%7D%7Btan%2868%5Eo%29%7D%5Cimplies%20x%5Capprox%200.61%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20tan%2856%5Eo%29%3D%5Ccfrac%7B%5Cstackrel%7Bopposite%7D%7B1.5%7D%7D%7B%5Cstackrel%7Badjacent%7D%7Bw%7D%7D%5Cimplies%20w%3D%5Ccfrac%7B1.5%7D%7Btan%2856%5Eo%29%7D%5Cimplies%20w%5Capprox%201.01%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20~%5Chfill%20%5Cstackrel%7B%5Ctextit%7Bwidth%20of%20the%20crater%7D%7D%7Bx%2Bw%5Cimplies%201.62%7D~%5Chfill)
6/1 ÷ 3/4
= 6/1 × 4/3
= 24/3
= 8