A cake shop bakes a variety of brownies. The top-selling brownies are ones with toppings of chocolate chip, walnuts, or both. A customer enters the store. The probability that the customer will pick both toppings is 0.4. What is the probability that they will pick neither the chocolate chip nor the walnut toppings?

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3. parallelogram

step by step explanation:

we turn each of our sides into guiding vectors

ab = ba = (3 – 7, 1 – 0) = (-4, 1)

bc = cb = (1,6)

cd = dc = (4, -1)

da = ad = (- 1, -6)

we see how directional vectors are embedded at the opposite sides; this is a characteristic of a parallelogram. we have appropriate sides ab = cd and bc = da with unequal lengths because 1 ^ 2 + 6 ^ 2 differs from (-4) ^ 2 + 1 ^ 2. so it is not a square or a rhombus.

we check the dot product of the directional vectors on the adjacent sides. we have

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

that’s not zero so the sides are not vertical. we have destroyed a rectangle.

the directional vectors represent two pairs of parallel sides of a parallelogram, so we select a parallelogram over a trapezoid.