Zarina wants to determine a confidence interval based on a random poll she conducted about the percent of attendees at a conference who are vegetarian. She determined the margin of error for her poll results using the equation below.

E = 1.96

Based on Zarina’s work, what can be concluded?

With 90% confidence, between 4% and 30% of the attendees are vegetarian.
With 90% confidence, between 26% and 34% of the attendees are vegetarian.
With 95% confidence, between 4% and 30% of the attendees are vegetarian.
With 95% confidence, between 26% and 34% of the attendees are vegetarian.

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.

well we know there are 4 clubs in 52 cards so it’s replaced so it should be 3/51

step-by-step explanation: