Four friends ram, mohan, ajay and sanjay are playing in a rectangular playground. ram suggested his friends to get the position by keeping a stone in the middle of the park and he told the stone is the origin for their position. now, they got the position of all four friends as (– 4, – 2), (– 3, – 5), (3, – 2) and (2, 3). mohan claimed that their position will form a quadrilateral if taken in order. ajay and sanjay are now trying to calculate the area of the quadrilateral formed by their position if taken in order. how much area they calculated.

You eat 8 strawberries and your friend eats 12 strawberries from a bowl. there are 20 strawberries left. which equation and solution give the original number of strawberries?

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?

If 3 3/4 lb. of candy costs 20.25 how much would 1lb. of candy cost