S. O. Twenty passengers were found ticketless on a bus. The sum of squares and the S.D. of the amount fouhi in their pockets were Rs. 2,000-00 and Rs. 6-00 respectively. If the total fine imposed on these passengers is equal to the total amount recovered from them and fine imposed is uniform, what is the amount each one of them has to pay as fine ? What difficulties do you visualize if such a system of penalty were imposed?

What would Billy’s weekly net pay be if he earns $20 per hour and worked 40 hours per week. His deductions are FICA of 7.65%, federal income tax of 20%, and state income tax of 16%. He also has to pay $10 per week for health insurance.

Suppose Nathan, Regina and Maxine go to a donut shop. Nathan buys 3 almond lover, 3 Bavarian kreme and 4 chocolate frosted donuts and ends up spending $14.40. Regina gets 6 of the almond lover, 7 Bavarian kreme and 3 chocolate frosted donuts for a total cost of $27.34. Lastly, Maxine spends $28.31 on 4 almond lover, 8 Bavarian kreme, and 7 chocolate frosted donuts. Assuming x = # of almond lover donuts, y = # of Bavarian kreme donuts, and 2 =# of chocolate frosted donuts, express the system of equations in augmented matrix form below: x y constant How much does each type of donut cost? Each almond lover donut costs $ Each Bavarian kreme donut costs $ Each chocolate frosted donut costs $

It the 1980s, it was generally believed that congenital abnormalities affected about 6% of a large nation's children. Some people believe that the increase in the number of chemicals in the environment has led to an increase in the incidence of abnormalities. A recent study examined 401 randomly selected children and found that 28 of them showed signs of an abnormality. Is his strong evidence that the risk has increased? (We consider a P-value of around 5% to represent reasonable evidence.) Complete parts a through f. Assume the independence assumption is met. a) Write appropriate hypotheses. Let p be the proportion of children with genetic abnormalities. Choose the correct answer below. O A. Ho: p= 0.06 vs. Ha: p0.0698 O D. Ho: p= 0.06 vs. Ha: p>0.06 O E. Ho: p = 0.0698 vs. Ha:p#0.0698 O F. Ho: p= 0.0698 vs. Ha: p<0.0698 b) Check the necessary assumptions. Which of the following are satisfied? Select all that apply. O A. There are more than 10 successes and 10 failures. O B. The…