Probability Questions and Answers

Use the image to answer the question Alarm Clock Set 5 00 a m 5 30 6 00 6 30 7 00 Calculate the mean and median of the given data Round your answers to the nearest half ho increment as needed 1 point O Mean 6 00 Median 6 00 O Mean 5 00 Median 5 00 O Mean 6 00 Median 5 00

Columbia class of 2024 has 1 800 students coming from the fifty US states Must the class have a group of at least 36 students from one state Use Generalized PHP

Question Fully simplify Answer Attempt 2 out of 2 2 2 2 6 T x2 x 2 4 x25x 6 Submit Answer

Excerpt from Why the German Republic Fell by Bruno Hellig published in Why the German Republic Fell And Other Studies of the Causes and Consequences of Economic Inequity edited by Arthur Madsen published by The Hogarth Press London UK 1941 Hellig was a journalist for newspapers in Vienna Budapest Prague and Berlin who was arrested In Austria in 1938 for being Jewish He was released from a concentration camp in 1939 emigrated to Britain and served in the British Royal Air Force during the Second World War Was there a link between the economic and the political collapse Eventually yes For as unemployment grew and with it poverty and the fear of poverty so grew the influence of the Nazi Party which was making its lavish promises to the frustrated and its violent appeal to the revenges of a populace aware of its wrongs but condemned to hear only a malignant and distorted explanation of them In the first year of the crisis the number of Nazi deputies to the Reichstag parliament rose from 8 to 107 A year later this figure was doubled In the same time the Communists captured half of the votes of the German Social Democratic Party and the representation of the middle class practically speaking disappeared In January 1933 Hitler was appointed Reichskanzler Chancellor he attained power as I said before quite legally All the forms of democracy were observed It sounds paradoxical but it was in fact absolutely logical 14 Who is the author of Source C7 15 In what way does Heilig s profession as a journalist provide value to this source for a historian studying interwar conditions in Europe 16 In what way does Heilig s profession as a journalist lead to limitations of this source for a historian studying interwar conditions in Europe

7 There are 4 snickers candy bars 6 twix candy bars and 1 kitkat candy bar in a candy jar What is the probability of randomly selecting a snickers eating it and then selecting a twix Write your answer as a percentage Independent or Dependent 8 There are 7 green marbles 9 blue marbles and 3 orange marbles in a bag What is the probability that you randomly select a green marble first set it aside and then select an orange marble second Write your answer as a decimal Independent or Dependent

For a set of bivariate data x for x 5 25 y for y 6 11 s for x 1 22 s for y 2 35 and r 0 7 The slope of the linear regression equation is 1 93 1 35 0 363

3 For this question choose TWO answers What are the solutions to the system of equations A 0 7 0 B 1 0 C 0 2 D 2 6 2 2 y 2x 2 v z 2x 2

If the size of a sample is at least 30 then you can use z scores to determine the probability that a sample mean falls in a given interval of the sampling distribution Choose the correct choice below GEER OA This statement is false A true statement is There is not any size of a sample that allows you to use z scores to determine the probability that a sample mean falls in a given interval of the sampling distribution OB This statement is true OC This statement is false A true statement is If the size of a sample is at least 50 then you can use z scores to determine the probability that a sample mean falls in a given interval of the sampling distribution OD This statement is false A true statement is If the size of a sample is at least 10 then you can use z scores to determine the probability that a sample mean falls in a given interval of the sampling distribution

Question Inequality 1 y 2 The drama club is selling tickets to their play to raise money for the show s expenses Each student ticket sells for 4 and each adult ticket sells for The auditorium can hold no more than 100 people The drama club must make at least 560 from ticket sales to cover the show s costs If z reprez the number of student tickets sold and y represents the number of adult tickets sold write and solve a system of inequalities graphically and deter one possible solution Inequality 2 y 2 200 500 150 170 150 150 140 130 120 110 100 90 50 70 60 50 40 30 20 10 0 10 20 plot witch shade wwitch shade O Watch Video 100 110 120 130 140 150 0 0 80 y 200 Show Examp

x so there are probably 640 yellow marbles in the bag Follow th examples above for entering information in the blanks The second blank should show what is multiplied in order to 640 yellow marbles Remember to use for fractions and for multiplication Do not use any spaces

2 The density of water is 997 kg m Convert the density of water to units of pounds per cubic foot lb ft Show your work and make sure your final answer has appropriate units U 03 U 04 U 05 U 13

4 The height in feet of a football that is kicked can be modeled by the function f x 16x 64x where x is the time in seconds after it is kicked Show all work and write your answer mathematically and in words a For what time s t is the ball above a height of 48 feet above the ground 5 An object is launched from ground level directly upward at a rate of 144 feet per second The object s height can be modeled with the function h t 16t 144t Show all work and write your answer mathematically and in words a What values of t is the object at or above a height of 288 feet b How long is the object at or above 288 feet 6 The function g t 2 23 7t 4 9t models the height in meters of a pumpkin t seconds after it has been launched from a catapult Show all work and write your answer mathematically and in words Write and solve a quadratic inequality that represents when the pumpkin is within 15 feet from the ground 7 The path of a large stone fired from a catapult can be modeled by the equation y 00545x 1 145x where x is the distance in yards and y is the height in yards Use a graph to answer the following Find the maximum height of the stone Find the distance s x when the height is greater than 50 yards

If we determine that r is strong r 2 is high and sis small we can conclude that x causes y the data may be linearly associated a linear model is better than a non linear model

7 1 point Rob and Jim are used car salesmen Below are histograms representing the number of cars per week each man sold over 14 weeks Based on the histograms Jim sold more cars than Rob 7 True False Rob s Car Sales 4 7 6 12 Jim s Car Sales 1 1 4 5 T 6