Consider flipping times a coin. The probability for heads is given by p where p is some parameter which you can choose from the interval (0,1) . Write a Python code to simulate coin flips with heads probability p and compute the running proportion of heads ¯ for running from 1 to 1000 trials. Plot your results. Your plot should illustrate how the proportion of heads appears to converge to p as approaches 1000.

you divide the cost ($15) by the quantity (6) to get your questions answer. the yo-yo costs $2.50. hope this : )!

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3. parallelogram

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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.

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

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600,000,000,000, or 6e14

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