A statistics class at a large high school suspects that students at their school are getting less than 888 hours of sleep on average. To test their theory, they randomly sample 424242 of these students and ask them how many hours of sleep they get per night. The mean from the sample is \bar x=7.5 x ˉ =7.5x, with, \bar, on top, equals, 7, point, 5 hours. Here's their alternative hypothesis: H_\text{a}:H a :H, start subscript, start text, a, end text, end subscript, colon The average amount of sleep students at their school get per night is... What is an appropriate ending to their alternative hypothesis?

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

b.

step-by-step explanation:

i just know