Acarnival costs $10.50 to enter plus an additional $3.50 per ticket for rides and food.

a. write an algebraic expression to represent the total cost for a visit to the carnival. let n represent the number of tickets purchased.
b. what is the total cost to visit the fair if you purchase 20 tickets? explain your reasoning.

i think the expression would be 10.50(3.50)=n? i honestly don't know though!

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?

Scenario: a rectangular plot of ground is 5 meters longer than it is wide. its area is 20,000 square meters. question: what equation will you find the dimensions? note: let w represent the width. options: w(w+5)=20,000 w^2=20,000+5 (w(w+5))/2=20,000 w+2(w+5)=20,000

If f(x) = -5x + 1 and g(x) = x3, what is (gºf)(0)? enter the correct answer