Some sweets are divided among 3 sisters;Nurul, Zahra and Hadietul in the ratio of is 2:3:4. If Hadietul gets 24 sweets, find A) The number of sweets Nurul gets, B) The number of sweets Zahra gets, C) The total numbers of sweets altogether.

The radius of the earth is two times the radius of the moon. what fraction of the volume of the earth is the volume of the moon?

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?

Apasta salad was chilled in the refrigerator at 35° f overnight for 9 hours. the temperature of the pasta dish dropped from 86° f to 38° f. what was the average rate of cooling per hour?