Ten different numbers are written on pieces of paper and thrown into a hat. The sum of all the numbers is 205. What is the probability of selecting four numbers that have a sum greater than 82

SOLVE and CHECK the following word problem. (6 marks)The length of a rectangle is 3 m greater than the width. The perimeter is 38 m. Whatare the dimensions of the rectangle? Explain in your own words why a polynomial cant be a quadratic if a= 0? Cecilia made an envelope to mail a letter. She colored the regular trapezoid flap on the bottom of the envelope blue, as shown. What is the area of the blue flap of the envelope? 14 Inches squared 18 Inches squared 45 Inches squared 90 Inches squared Cmo beneficiar para hacer frente a los principales problemas que atraviesa tu localidad? Whats the velocity of a ball falling with 100 joules of kinetic energy and a mass of 2 kilograms? Use the formula, . A.3 m/s B.5 m/s C.7 m/s D.8 m/s E.10 m/s What is the coupon rate for a bond with 3 years until maturity, a price of $1,053.46, and a yield to maturity of 6%? Interest is paid annually. Which statement summarizes a change that occurs during photosynthesis? The Ericsson method is one of several methods claimed to increase the likelihood of a baby girl. In a clinical trial, results could be analyzed with a formal hypothesis test with the alternative hypothesis of pgreater than0.5,which corresponds to the claim that the method increases the likelihood of having a girl, so that the proportion of girls is greater than 0.5. If you have an interest in establishing the success of the method, which of the following P-values would you prefer: 0.999, 0.5, 0.95, 0.05, 0.01, 0.001? Why? Which of the following investments could be represented by the function A = 250(1 + 0.08/12)12 4? Why did President Theodore Roosevelt use the Roosevelt Corollary in the Dominican Republic? Roosevelt did not want the Dominican Republic to attack Haiti. Roosevelt was afraid American businesses would lose money if there was a revolution in the Dominican Republic. Roosevelt was afraid European countries would take action against the Dominican Republic if it did not pay its debts. Roosevelt needed to have military bases in the Dominican Republic to protect the Panama Canal. The police department uses a formula to determine the speed at which a car was going when the driver applied the breaks, by measuring the distance of the skid marks.The equation d=0.03r^2+r models the distance, d, in feet, r miles per hour (r is the speed of the car) Factor the equation. d=? A scooter runs 40 km using 1 litre of petrol tje distance covered by it using 15/4 litres of petrol is Read an excerpt from Justice Sonia Sotomayor's New York University 2012Commencement Address:Finally, the last emotion I've experienced has been the joyof engagement. It's a hackneyed statement, but life is not aspectator sport. To squeeze from life its fullness, to behappy in this world in the short period of time we are given,to find meaning in life, you have to be active and givingmembers of your communities. Neither your life nor theworld you live in just happens. You control the quality ofyour lives and your communities. It is only in giving toothers that you can find meaning and satisfaction in whatyou doWhat does Sotomayor use to introduce her discussion on the joy ofengagement?O A. A statement that happiness should not be a life goalO B. A comparison of two people's livesO C. A metaphor about getting involvedO D. A suggestion that life has to be spontaneous y=(x+9)(x-3)Find the value of y when x=5 Find the interest on $5,432 at 6% for 2 years. If you are given the graph of h(x) = log6x, how could you graph M(x) = log6(x+3)? What is a mental disorder characterized by binge eating followed by purging?A.Anorexia nervosaB.Binge eating disorderC.Bulimia nervosaD.Anxiety eating disorder A biologist is studying how green sea turtles choose where to lay their eggs. She makes a hypothesis that because this species is related to other sea turtles through common ancestry, they probably all use the same process. This biologist formed her hypothesis using:________a. A hunch b. The unifying theory of evolution c. Experimentation d. The scientific method e. Observations of green sea turtles' behavior A company rounds its losses to the nearest dollar. The error on each loss is independently and uniformly distributed on [0.5, 0.5]. If the company rounds 2000 such claims, find the 95th percentile for the sum of the rounding errors. Simple and easy questionplease help