Afamily is building a rectangular patio in their backyard. the rectangular yard has dimensions of (8x+2) by (6x + 3) and they are planning the patio to be (x + 5) by (3x + 1). what is the area of the remaining yard after the patio has been built?
(1 point)
3x 2 + 16x + 5
48x 2 + 36x + 6
51x 2 + 52x + 11
45x 2 + 20x + 1

Aline that intersects one of two parallel lines intersects the other also always sometimes never

Solve the problem by using a venn diagram a group of students were surveyed about their taste in music.they were asked how they like three types of music: rock, country western and jazz.the results are summarized below: no one dislikes all three types of music.six like all three types of music.eleven don’t like country western.sixteen like jazz.three like country western and jazz, but not rock.six don’t like rock.eight like rock and country western.seven don’t like jazz.how many students were surveyed?

Apolice office claims that the proportion of people wearing seat belts is less than 65%. to test this claim, a random sample of 200 drivers is taken and its determined that 126 people are wearing seat belts. the following is the setup for this hypothesis test: h0: p=0.65 ha: p< 0.65 find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places.