Select the correct answer. The vertices of a parallelogram are Alxy, y1), B(X2, 92), CX3, 13), and D(x4, YA). Which of the following must be true if parallelogram ABCD is proven
to be a rectangle?
OA (93 ) and () --1
ОВ.
(94-83
94-93 92-31
54-
and
54-5312-11
= -1
(94 - 93 92-01 (94 93 93 - 92
and
54
= -1
33-31 94-3.
and
54-53 = -1
OD

Arestaurant gives out a scratch-off card to every customer. the probability that a customer will win a prize from a scratch-off card is 25%. design and conduct a simulation using random numbers to find the experimental probability that a customer will need more than 3 cards in order to win a prize. justify the model for your simulation, and conduct at least 10 trials.

You were told that the amount of time lapsed between consecutive trades on the new york stock exchange followed a normal distribution with a mean of 15 seconds. you were also told that the probability that the time lapsed between two consecutive trades to fall between 16 to 17 seconds was 13%. the probability that the time lapsed between two consecutive trades would fall below 13 seconds was 7%. what is the probability that the time lapsed between two consecutive trades will be between 14 and 15 seconds?

In dire need~! describe how to use area models to find the quotient 2/3 divided by 1/5. check your work by also finding the quotient 2/3 divided by 1/5 using numerical operations only.