Frank weighs 105 pounds and is gaining 3 pounds a week for wrestling season. James weighs 175 pounds and is losing 2 pounds a week for wrestling season. When will the wrestlers weigh the same? How much will they each weigh? ​a. Define your variables and write an equation for each wrestler.

Let =

​

​Let =

​Frank:

​James:

​

b. Frank and James will both weigh

pounds in

weeks.

The probability that a college student belongs to a health club is 0.3. the probability that a college student lives off-campus is 0.4. the probability that a college student belongs to a health club and lives off-campus is 0.12. find the probability that a college student belongs to a health club or lives off-campus. tip: p(a or b) = p(a) + p(b) - p(a and b) 0.54 0.58 0.70 0.82

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e. g. 98.7654). x f(x) 0 1 2 3

The length of a field is 100 yards and its width is 75 yards. if 1 inch represents 25 yards, what would be the dimensions of the field drawn on a sheet of paper?