USA TODAY reported that 840 Americans out of a randomly selected sample of 1000 Americans prefer cheese on their burgers (USA TODAY, September 7, 2016).
Calculate the point estimate of the proportion of Americans that prefer cheese on
their burgers. Round to 2 decimal places.

A 10 kg box is initially at rest at the top of a frictionless inclined plane that rises at 30° above the horizontal. At the top, the box is initially 8.0 m from the bottom of the incline, as measured along the incline (see figure). When the box is released from this position, it eventually stops at a distance d from the bottom of the inclined plane along a horizontal surface, as shown. The coefficient of kinetic friction between the horizontal surface and the box is 0.20, and air resistance is negligible. Find the distance d in meters. Hint: You can use dynamics and kinematics but applying conservation of energy will be much easier

USA TODAY reported that 840 Americans out of a randomly selected sample of 1000 Americans prefer cheese on their burgers (USA TODAY, September 7, 2016). Calculate the point estimate of the proportion of Americans that prefer cheese on their burgers. Round to 2 decimal places.

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