6.1 young americans, part i: about 77% of young adults think they can achieve the american dream. determine if the following statements are true or false, and explain your reasoning. (a) the distribution of sample proportions of young americans who think they can achieve the american dream in samples of size 20 is left skewed. false true (b) the distribution of sample proportions of young americans who think they can achieve the american dream in random samples of size 40 is approximately normal since n ≥ 30 . true false (c) a random sample of 60 young americans where 85% think they can achieve the american dream would be considered unusual. false true (d) a random sample of 120 young americans where 85% think they can achieve the american dream would be considered unusual. true false

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step-by-step explanation:

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: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

step-by-step explanation:

below

step-by-step explanation:

1. 5/1

2. 10/16

3. 90/2

4. 1/20

5. 3/1

6. 14/24

7. 1/4

8. 18/10