Asecond-stage smog alert has been called in a certain area oflos angeles county in which there are 50 industrial firms. aninspector will visit 10 randomly selected firms to check forviolations of regulations. a. if 15 of the firms are actually violating at least oneregulation, what is the pmf of the number of firms visited by theinspector that are in violation of at least one regulation? b. if there are 500 firms in the area, of which 150 are inviolation, approximate the pmf of part (a) by a simpler pmf. c. for x=the number among the 10 visited that are inviolation, compute e(x) and v(x) both for the exact pmf and theapproximating pmf in part (b)

1260=3*6*7*10=3^2*2^2*7*5 perfect cude = 3^3*2^

step-by-step explanation:

this is a direct variation proportion. y = kx

y is the total amount due, k is the constant of variation, and x is the number of texts sent.

plug in the 3.20 and the 16 to solve for the "k". this is the constant of proportionality. it is the value that will not change.

3.20 = k(16). solving you get $.20 per text.

the equation would then be y = .20x

unless you made a typo, the answers are both a and c.

step-by-step explanation:

1.5/3 is .5 whereas 3/9 is .3333333 not proportional

22/33 is .66666 and 4/6 is also .66666 proportional

2/4 is .5 whereas 142/213 is .66666 not proportional

14/7 is 2 and 7/3.5 is also 2 proportional

you could've also checked it by doing this simple division:

if the larger fraction divides with the smaller fraction to equal 1, it is proportional. so let me show you what i mean:

when i divide 22/33 by 4/6 i get 1, so we know it is proportional, and it is the same with 14/7 and 7/3.5. now if i divide 3/9 by 1.5/3 i get .66666 so therefore we know it is not proportional.

there are many ways to do this so i wanted to show you some possible ways.