You have been asked to build a scale model of your school out of toothpicks. imagine your school is 30 feet tall. your scale is 1 ft: 1.26 cm. if a toothpick is 6.3 cm tall, how many toothpicks tall will your model be? the model will be 6 toothpicks tall. your mother is out of toothpicks, and suggests you use cotton swabs instead. you measure them, and they are 7.7 cm tall. how many cotton swabs tall will your model be? if necessary, round your answer to the nearest whole number

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?

Without multiplying, tell which product is larger and why. 5 × 1/3 or 5 × 2/3 a)5 × 1/3 because 1/3 is less than 2/3 b) 5 × 1/3 because 1/3 is greater than 2/3 c) 5 × 2/3 because 1/3 is less than 23 d) 5 × 23 because 1/3 is greater than 2/3

What is a correct first step in solving the inequality-4(3-5x)> -6x+9