Let x be the size of a house (sq ft) and y be the amount of natural gas used (therms) during a specified period. suppose that for a particular community, x and y are related according to the simple linear regression model with the following values.β = slope of population regression line = 0.014α = y-intercept of population regression line = -5(a) what is the equation of the population regression line? (b) what is the mean value of gas usage for houses with 2200 sq ft of space? (c) what is the average change in usage associated with a 1 square foot increase in size? (d) what is the average change in usage associated with a 100 square feet increase in size?

Find the area and perimeter of each composite figure. use 3.14 for π. round your answer to the nearest tenth. a square and a right triangle share a common side. image long description a 3-meter by 0.5-meter rectangle has triangles attached like wings to the 3-meter sides. the other two sides of both triangles measure 2.5 meters. the height of each triangle is 2 meters. a 6-inch by 4-inch rectangle has 2 half-circles attached like wings to the 6-inch sides. the radius of each half-circle is 3 inches. find the surface area and volume of each figure. use 3.14 for π. round your answer to the nearest tenth. a right circular cylinder has a base radius of 6 yards and a height of 20 yards. a rectangular prism has a base that is 9 centimeters long and 7 centimeters wide. the height is 2 centimeters. a rectangular prism has a base that measures 11 millimeters by 11 millimeters. the height is 11 millimeters.

Acylinder has volume 45π and radius 3. what is it’s height?

The length of a rectangle plus its width is 25 cm. the area is 156 square cm. what are the length and width of the rectangle? separate the answers with a comma.