3. Carl earned 8 x + 7 dollars this week mowing yards while Patrick earned -3 x + 18 dollars
walking dogs. Which of the following shows
how much the boys earned all together and
also how much more Carl earned this week
than Patrick earned?
5 x + 25 and 11 x + 25
5x + 25 and 11 x-11
5x + 11 and 5 x + 25
5 x + 25 and 5 x-11

Larry bar opened a frame shop and completed these transactions: larry started the shop by investing $41,100 cash and equipment valued at $19,100 in exchange for common stock. purchased $180 of office supplies on credit. paid $2,300 cash for the receptionist's salary. sold a custom frame service and collected $5,600 cash on the sale. completed framing services and billed the client $310. what was the balance of the cash account after these transactions were posted?

Find the value of x in each case. give reasons to justify your solutions! d q ∈ pr

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?