Four students did a survey to find the soda flavor sixth-grade students perefer. the table below shows the method each student used to conduct the survey:
student. method
trey- asked 100 students at random from his seventh- grade class what their favorite soda flavor is
jesse- asked 100 sixth-grade students at random what their favorite soda flavor is
nita-asked 100 eighth-grade students at random what their favorite soda flavor is
ruben- asked 100 third- grade students at random what their favorite soda flavor is
which students survey is most likely not biased?
trey
jesse
nita
ruben

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for