Atoy manufacturer wants to know how many new toys children buy each year. assume a previous study found the variance to be 1.44. he thinks the mean is 5.6 toys per year. what is the minimum sample size required to ensure that the estimate has an error of at most 0.11 at the 95% level of confidence? round your answer up to the next integer.

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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.

can you rephrase the question ? it is unclear : -)

step-by-step explanation: