Dante is painting the sign for his school’s winter bash . he drew a sketch of the painting on a piece of paper that was 10 inches by 12 inches.

a.) determine the unknown dimension if the painting is drawn to scale.
60 inches x ? inches

b.) what is the percent increase in the perimeter of the painting?

Agallon of apple juice cost $7 a pack of eight 4.23oz box of apple juice $2.39 which is a better deal

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?

Which ordered pair is a solution of the equation? 2x+3y=10