Use a sample n= 840 , p = 0.25, and a confidence level to construct a confidence interval estimate of the population proportion ,p.

The confidence interval would be (0.221, 0.279).

Step-by-step explanation:

Since we have given that

n = 840

p = 0.25

q = 1 - p =

Let 95% level confidence, z = 1.96

Margin of error is given by :

So, confidence interval would be

Hence, the confidence interval would be (0.221, 0.279).

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)

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18