1.points a and b are to be mapped onto a number line according to two equations. the solution to the equation is the coordinate of point a. the solution to the equation is the coordinate of point b. (a)solve the first equation to find the coordinate of point a. show your work. (b)solve the second equation to find the coordinate of point b. show your work. (c)determine the distance between points a and b. explain.

(score for question 2: of 4 points) 2.kim is x years old. jordan is 7 years older than kim. four times jordan’s age is equal to 200. (a)write an equation that could be used to solve for kim’s age, x. (b)how old is kim? (c)how old is jordan?

(score for question 3: of 5 points) 3.solve the given inequality and graph the solution on a number line.

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?

In stepmber, daniel and justin opened a business. during their first three months of business, their average monthly profit was $51. if during their first month, they lost $29, and during their second month, they gained $115, what was their profit or loss for their third plzzz i will give you 299 points

Ratio of circumference to diameter example plz i need to now what it looks like.