Deanna has 4 quarters 3 dimes and 3 nickels in her purse. she reaches into her purse and randomly grabs two coins one at a time. what is the probability deanna will first grab a quarter and then without replacing it grab a nickel?

4+3+3 = 10 coins total

4 quarters so a 4/10 ( reduces to 2/5) probability of getting a quarter first

 then there would be 9 coins left, 3 are nickels so a 3/9 ( reduced to 1/3) probability of getting a nickel

2/5 x 1/3 = 2/15 probability for both to happen

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation:

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft