The product of a number, k, and four is seven more than the quotient of the number and two thirds. write an equation to represent this situation

Aline has a slope of 1/4 and passes through point (0.4,-1/2). what is the value of the y-intercept?

Thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 127 millimeters, and a variance of 36. if a random sample of 35 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 0.5 millimeters? round your answer to four decimal places.

(60 points) explain this in detail