After a storm, the Serafina family needs to have their roof replaced. Their house is in the shape of a pentagonal prism with the
dimensions shown in the diagram. A roofing company gave Mr. Serafina an estimate based on a cost of $2.75 per square foot to replace the roof. How much will it cost the Serafina family to have their roof replaced?
The roof is made up of 2 similar pieces of 2 rectangle shapes.
---------------------------------------------------------------- Area of a rectangle = Length x Width ---------------------------------------------------------------- Area of a rectangle = 50 x 14 = 700 ft²
---------------------------------------------------------------- Area of 2 rectangle pieces: ---------------------------------------------------------------- Area of 2 rectangle pieces = 700 x 2 = 1400 ft²
---------------------------------------------------------------- Find the cost: ---------------------------------------------------------------- 1ft² = $2.75 1400 ft² = 2.75 x 1400 1400 ft² = $3850
--------------------------------------------------------------------------------------------- Answer: It will cost $3850 to have the roof replaced. (Answer A) ---------------------------------------------------------------------------------------------
Based on 100 trials, we don't expect the experimental probability to deviate much from the theoretical probability. The scales on the attached graphs are hard to read, but you want to choose the graph that ...
has bars that total 100 in their length
has bars that are approximately .50, .25, .17, .08 in height, corresponding to the area fraction
We think the appropriate choice may be C, but we cannot tell for sure.
The order that the pitcher threw is F, C, F, F, C, C, F, F, F then the next five pitches are C, C, C, C, F, F, F, F, F assuming the pitcher maintains this order