Abottle of the medicine contains 0.5 kilograms of the medicine. one dose of the medicine is 20 grams for a child and 45 grams for an adult. the number of grams used can be calculated with the formula 20c + 45a, where a is the number of adult doses and c is the number of child doses. if a medical assistant needs to give a dose of the medicine to 12 adults and 10 children, will there be enough medicine in the bottle? if not, how many more grams will be needed?

The amount of energy it takes to lift a box might be a function of which of the following

The graph shows the function f(x) = (2.5)x was horizontally translated left by a value of h to get the function g(x) = (2.5)x–h.

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?