A professor wants to determine whether college algebra should be kept as a prerequisite for the course entitled Introductory Psychological Statistics. Accordingly, some students are allowed to register for the course on a pass-fail basis regardless of whether they have had the prerequisite. Of the 70 students in the class, 40 have had algebra and 30 have not. At the end of the semester, the professor compares the number of students passing or failing the course with whether they had algebra. The results are summarized in the table. Pass Fail
Algebra 36 6
No Algebra 12 18
Determine whether having studied algebra is related to student success in the statistics course. Please show work.

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

-13

step-by-step explanation:

f(x)=2x-5 for f(-4)

f(-4)   means let x=-4

f(-4) = 2(-4) -5

f(-4) =-8-5

      = -13

1. 3. can also be expressed as (22/7)

2. -4.5

3. 3.6

happy to

pls mark as brainliest

answer: 8d

step-by-step explanation:

45+5= 50+5=55+5=60