Juries should have the same racial distribution as the surrounding communities. according to the u. s. census bureau, 18% of residents in minneapolis, minnesota, are african americans. suppose a local court will randomly sample 100 state residents and will then observe the proportion in the sample who are african american. how likely is the resulting sample proportion to be between 0.066 and 0.294 (i. e., 6.6% to 29.4% african american)? there is roughly a 95% chance that the resulting sample proportion will be between 0.066 and 0.294 of the true proportion. there is roughly a 99.7% chance that the resulting sample proportion will be between 0.066 and 0.294 of the true proportion. there is roughly a 68% chance that the resulting sample proportion will be between 0.066 and 0.294 of the true proportion. it is certain that the resulting sample proportion will be between 0.066 and 0.294 of the true proportion.

the answer would be 150 books

step-by-step explanation:

if you divide 300 by 2 you will get 150

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:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240