8. David and Susan belong to a math club at their school. There are 6 boys and 8 girls in the club. How many different ways can a 5-person committee be selected from the 14
club members under each of the following conditions?
a. There must be 2 boys and 3 girls
b. There must be at least 2 boys.
c. David (a boy) and Susan (a girl) must be on the committee
d. There must be more girls than boys

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.

How many kilometers are equal to 5 miles? use 1 mile ≈ 1.61 kilometers. !

Find the number of real number solutions for the equation. x2 + 5x + 7 = 0 0 cannot be determined 1 2