Questions

ab Part 4 2 points 12 points A florist determines the probabilities for the number of flower arrangements they deliver each Type numbers in the boxes day Part 1 4 points Part 2 4 points Part 3 2 points 8 19 20 21 21 22 22 23 23 P x 0 23 0 24 0 34 0 13 0 06 Find the mean variance and standard deviation of the distribution rounded to 4 decimal places Mean Variance Standard Deviation Approximately how many arrangements should the florist expect to deliver each week rounded to the nearest whole number2

Select one answer 10 points Blood type AB is the rarest blood type occurring in only 4 of the population in the United States In Australia only 1 5 of the population has blood type AB Suppose a random sample of 50 U S residents and 40 Australians is obtained Consider the random variables described below X the number of U S residents with blood type AB Y the number of Australians with blood type AB What is the probability that exactly 2 of the U S residents have blood type AB Note Some answers are rounded A O 0 2762 B O 0 04 C O 0 1334 D O 0 0988 E O 0 2646

1 Beginning with a line segment of length 1 construct line segments of length 3 1 3 4 3 and 2 3 3

e mean in your opinion ferent events where slaves What were the reasons not succeed go over the following week While the written on Friday March 1st at ure and watch the short nclude them in your ue on Friday March 1st e any questions please briel buelnalaw com Watch an Stavery Sky On Slavery v Discussion To Do D Notifications Inbox ment Details AMERICAS 15049 SP2024 Varela svslavery ky On Slavery 3 D noto 88 was infrequent for any individual But looked at another way once every four or five days some slave was whipped Barrow as a plantation owner according to his biographer was no worse than the average He spent money on clothing for his slaves gave them holiday celebrations built a dance hall for them He also built a jail and was constantly devising ingenious punishments for he realized that uncertainty was an important aid in keeping his gangs well in hand The whippings the punishments were work disciplines Still Herbert Gutman Slavery and the Numbers Game finds dissecting Fogel and Engerman s statistics Over all four in five cotton pickers engaged in one or more disorderly acts in 1840 41 As a group a slightly higher percentage of women than men committed seven or more disorderly acts Thus Gutman disputes the argument of Fogel and Engerman that the Barrow plantation slaves became devoted hard working responsible slaves who identified their fortunes with the fortunes of their masters Slave revolts in the United States were not as frequent or as large scale as those in the Caribbean islands or in South America Probably the largest slave revolt in the United States took place near New Orleans in 1811 Four to five hundred slaves gathered after a rising at the plantation of a Major Andry Armed with cane knives axes and clubs they wounded Andry killed his son and began marching from plantation to plantation their numbers growing They were attacked by U S army and militia forces sixty six were killed on the spot and sixteen were tried and shot by a firing squad The conspiracy of Denmark Vesey himself a free Negro was thwarted before it could be carried out in 1822 The plan was to burn Charleston South Carolina then the sixth largest city in the nation and to initiate a general revolt of slaves in the area Several witnesses said thousands of blacks were implicated in one way or another Blacks had made about 250 pike heads and bayonets and over three hundred daggers according to Herbert Aptheker s account But the plan was betrayed and thirty five blacks including Vesey were hanged The trial record itself published in Charleston was ordered destroyed soon after publication as too dangerous for slaves to see Nat Turner s rebellion in Southampton County Virginia in the summer of 1831 threw the slaveholding South into a panic and then into a determined effort to bolster the security of the slave system Turner claiming religious visions gathered about seventy slaves who went on a rampage from plantation Previ the Yoruba do hav the continent wher Europe and Asia la Neanderthals

Below is a probability ribut ab Part 1 2 points Part 2 2 points Part 3 2 points Part 4 2 points Part 5 2 points Determine the following probabilities a P X 2 b P X 2 c P X 2 d P X 2 e P X 1 or X 4 f P 1 x 4 X 0 1 23 4 P X x 0 41 0 18 0 05 0 09 Part 6 2 points 12 points

Sketch the graph of an example of a function that satisfies all of the given conditions lim f x lim f x X 1 lim f x 0 lim f x lim f x X X 0 X OM y y x 1 x 1 X 1 X X x 1 X X

If no state why X 3 6 9 12 22 15 45 P X x 4 9 2 9 1 9 1 9 1 9 10 points Select one answer 10 points A O No the values of X do not start at 1 and the probabilities do not add up to 1 B Yes the probabilities associated with each X are all positive and they all add up to 1 C Yes the values of X are all positive D O No the probabilities do not add up to 1 Question 3 Determine if the following could be a probability distribution for a discrete random variable X If no state why

The joint probability distribution of two random variables X Y is given in the table below X 4 Y 3 Y 2 Y 0 Y 2 0 13 0 00 0 05 0 00 X 1 0 06 0 08 0 00 0 05 X 2 0 26 0 08 0 00 0 03 X 4 0 00 0 12 0 02 0 12 From the information in the table calculate each of the following three probabilities a P X 4 b P X 1 Y 2 c P Y 2 X

Find a formula for a function that has vertical asymptotes x 2 and x 6 and horizontal asymptote y 2 f x

Betsy a recent retiree requires 6 000 per year in extra income She has 70 000 to invest and can invest in B rat bonds paying 15 per year or in a certificate of deposit CD paying 7 per year How much money should be invested in each to realize exactly 6 000 in interest per year The amount of money invested at 15 The amount of money invested at 7

2 Find the inverse of 3x 4 2 X

Bachelor s degree conferred in thousands Side by side bar graphs allow for comparisons The one shown below provides data on the number of bachelor s degrees conferred to men and to women in selected years In which years were more bachelor s degrees conferred to men than to women More bachelor s degrees were conferred to men than to women in the year s Use a comma to separate answers as needed Men Women 1000 800 600 400 200 0 1950 1970 1990 2000 2007 Year Q

You want to install a 3 yd wide walk around a circular swimming pool The diameter of the pool is 21 yd What is the area of the walk Use 3 14 for x The area of the walk is approximately Simplify your answer Type a whole number or a decimal Round to the nearest hundredth as needed 21 yd

What term matches the definition below A triangle with three sides of the same length The term that matches the given definition is

9 yd 9 yd Find the perimeter Note that the arc represents a semicircle Use 3 14 for The perimeter is Simplify your answer Type a whole number or a decimal Round to the nearest hundredth as needed

What term matches the definition below An angle whose measure is greater than 0 and less than 90 The term that matches the given definition is

In the truss shown there is a pin connecting the members at each joint The force kips in Mem CD is most nearly B D E A L K 50 kips 9 ft F I H 40 kips 10 kips 30 kips 30 kips 20 kips 6 3 ft 18 ft

To protect an elm tree in your backyard you need gypsy moth caterpillar tape around the trunk The tree has a 2 3 ft diameter What length of tape is needed Use 3 14 for The length of the tape is approximately Simplify your answer Type a whole number or a decimal Round to

3 2 EVALUATE round all answers correctly to three decimal places 05 413

Find the length of the radius the circumference and the area of the circle Use 3 14 for 28 4 cm The radius is Simplify your answer Type a whole number or a decimal The circumference is approximately Simplify your answer Type a whole number or a decimal Round to the nearest hundredth as needed The area is approximately Simplify your answer Type a whole number or a decimal Round to the nearest hundredth as needed

Find the length of the radius the circumference and the area of the circle Use 3 14 for C 27 ft C The radius is Simplify your answer Type a whole number or a decimal The circumference is approximately Simplify your answer Type a whole number or a decimal Round to the nearest hundredth as n The area is approximately Simplify your answer Type a whole number or a decimal Round to the nearest hundredth as n

Find the length of the diameter the circumference and the area of 22 the circle Use for 7 The length of the diameter is Simplify your answer Type a whole number or a fraction The circumference of the circle is approximately Simplify your answer Type a whole number or a fraction The area of the circle is approximately Simplify your answer Type a whole number or a fraction 5 cm

Find the length of the diameter the circumference and the area of the circle Use 22 for 7 u 2 911 The diameter is Simplify your answer Type a whole number or a simplified fraction The circumference of the circle is approximately Simplify your answer Type a whole number or a simplified fraction The area of the circle is approximately Simplify your answer Type a whole number or a simplified fraction

Suppose that the average number of Facebook friends users have is normally distributed with a mean of 131 and a standard deviation of about 48 Assume twelve individuals are randomly chosen Answer the following questions Round all answers to 4 decimal places where possible a What is the distribution of x N b For the group of 12 find the probability that the average number of friends is less than 145 c Find the first quartile for the average number of Facebook friends d For part b is the assumption that the distribution is normal necessary No Yes

Select the closest approximation of the circumference of the circle that has the given diamete d 16 in Choose the correct answer below OA 251 2 in OB 25 12 in C 5 024 in D 50 24 in

10 Calculate the velocity and flow rate in a 35 inch circular reinforced concrete Pipe RCP storm sewer installed at a slope of 0 02 ft ft and n 0 013 variable with depth a Flowing Full b Flowing at a depth of flow of twenty five 25 inches

A lot is 60 m by 35 m A house 28 m by 9 m is built on the lot How much area is left over

The table lists the selling prices of homes in two counties during one month a Find the median home price for each county b Which county had the lower median home price Selling Jefferson 123 173 137 County 540 317 123 Hamilton 388 939 146 County 116 173 122 a The median home price in Jefferson County was The median home price in Hamilton County was b Which county had the lower median home price Choose the correct answer below O Jefferson County

To get a B in math Alexandria Pappas must average 80 on five tests Scores on the first four tests were 81 75 83 and 76 What is the lowest score that she can get on the last test and still get a B The lowest possible score for getting a B is

Some salespeople have their commission increased according to how much they sell A salesperson gets a commission of 4 for the first 2500 and 6 on the account over 2500 What is the total commission on sales of 7500 The sales person s total commission is

The line graph shows the price per share of stock for a certain company from May 2012 to December 2012 Between which months did the price of the stock increase Select all that apply A October to November C May to June E November to December G September to October B June to July D July to August F August to September Price per share Stock Performance 50 40 30 20 10 0 May June July Aug Sept Oct Month Nov Dec

The histogram shown on the right illustrates the number of points scored per game by team A during a recent basketball season Use the graph and find in how many games team A scored 100 109 points Frequency 30 28 26 24 22 20 18 16 14 12 10 8 6 Team A regular season points per game 70 79 80 89 Team A scored 100 109 points in game s TV a whole number 90 99 100 109 110 119 120 129 130 139 Number of points scored per game

1 What is the minimum time Critical path that the project can be completed by for the following CPM network diagram 4 days 3 days 00 A B 8 days 4 days D 5 days E 6 days G 7 days 12 days C F

An inorganic soil has the following characteristics The soil has a liquid limit of 30 and plastic limit of 10 Using the USCS classification system what is the classification of the soil Sieve No 8 No No 200 10 No 4 Percent passing 64 78 86 A 20 acre parcel of land has a rainfall intensity of 3 in hr and a rational method runoff coefficient C of 0 10 The flow rate cfs for this site is most nearly O A 3 0 O B 5 0 O C 7 5 O D 9 0

The histogram to the right illustrates the number of points scored per game by a certain basketball team in a recent season In what point range did the lowest number of scores for this team lie Choose the correct answer below OA 90 99 OC 80 89 E 120 129 OB 110 119 OD 100 109 OF 70 79 Number of Games 40 30 20 10 70 79 80 89 90 99 100 109 110 119 12 Number of Points

The histogram to the right illustrates the number of points scored per game by a certain basketball team in a recent season In what point range did the lowest number of scores for this team lie Choose the correct answer below OA 90 99 OC 80 89 OE 120 129 OB 110 119 OD 100 109 OF 70 79 Number of Games 30 20 10 70 79 80 89 90 99 100 109 110 119 120 Number of Points

If the standard density of water s 1 000kg m a fluid having a specific gravity of 3 and absolute dynamic viscosity of 5 kg mrs has a kinematicviscosity m s of most nearly

The W21 48 steel beam shown in the figure has its compression flange laterally braced at th one third points over its full length Assume Fy 50 ksi and C6 1 0 for the critical segment Th maximum factored load w kips ft that the beam can carry for this length is most nearly LATERAL SUPPORT POINT L 30 0 ft W21 48

A 1 ft rod with a diameter of 2 in is subjected to a tensile force of 1 300 lb and has an elongatio 0 003 in The modulus of elasticity ks of the material is most nearly

A box of gumdrops was found to contain the number of gumdrops listed in the table Type Number Lemon 5 Orange 5 Cherry 4 Grape 6 If one gumdrop is drawn from the box what is the probability of drawing a n lemon gumdrop The probability is Simplify your answer Tyne a fraction

Translate to an equation and solve 2 6 of what is 27 3 2 6 of is 27 3 Simplify your answer

8 Storm runoff is observed flowing in an 8 ft wide rectangular concrete channel n 0 015 The depth of flow is determined to be 5 ft a Calculate the velocity and flow rate of the storm flow The channel has a slope of 1

Find the area under a curve defined by parametric equations Question Find the area under the curve for the parametric function defined by the equations x t t 3t y t t 4 and 2 t 4

Which word from the following list matches part C of the division dividend divisor quotient remainder 29 A D 8 235 B 16 75 The word that matches with part C of the division is 72 3

Translate to an equation and solve What is 7 2 of 11 600 is 7 2 of 11 600 Simplify your answer Type a whole number or a decima

Find the missing values Marked Rate of Discount Sale Price Price Discount 280 00 20 Marked Rate of Discount Sale Price Price Discount 280 00 20 Simplify your answers Type whole numbers or decimals

Find the area and the perimeter of the landing area of the pole vault pit shown to the right The landing area is La

3 y 2 3 tan 3 x 2 Choose the correct graph below O A Ay B C Q Q Ay E

Label the following illustration of the protist algae Guillardia theta Chloroplast C B Primary algal cytoplasm Starch Secondary protist cytoplasm Nucleus Primary algal nucleomorph

3 Which ordered pair below is a solution to the system of equations a 1 1 b 2 4 c 1 1 d 4 2 x y 3x 4 y