Suppose John wants to open a learning center for high school students in his community. John wants to compare the average time area high school students spend studying per week with the regional average, 18.9 h. John surveys 20 randomly selected local high school students, asking how much time they spend studying in a typical week. Although he does not know the standard deviation of the underlying population, he is confident that the population is normally distributed because other studies indicate that study times are normally distributed, and graphs of his sample data indicate normality. Choose the correct test procedure that John should use to test if the mean weekly study time from his sample differs from 18.9 h.

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: its c because when it has a magnet next to it it will move away from the mixture. hope this

step-by-step explanation:

i believe the answers 600m

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4