College Math - Others Questions

11 The beam shown in Figure P5 5 11 has lateral support at a b c Compute C for segment b c a Use the unfactored service loads b Use factored loads k 10 b 15 PD 1 7 k PL 5 k 10 0 5 k ft WD W 0 9 k ft H

14 2 Design a bearing plate of A36 steel to support a beam reaction consisting of 28 kips dead load and 56 kips live load Assume that the bearing plate will rest on concrete with a surface area larger than the bearing area by an amount equal to 1 inch of concrete on all sides of the plate The beam is a W30 X 99 with Fy 50 ksi and the concrete strength is f 3 ksi a Use LRFD b Use ASD

For each problem below a point is rotating with uniform circular motion on a circle of radius r 35 Find v if r 2 inches and w 5 radians per second 36 Find v if r 8 inches and w 4 radians per second 37 Find w if r 6 centimeters and v 3 centimeters per second

Determine if the set is the empty set x x is a day of the week whose name begins with the letter Y OYes it is the empty set O No it is not the empty set

Are the sets equal p q r s q s r p Yes O No

Find the distance s covered by a point moving with linear velocity v for a time t if 7 v 20 feet per second and t 4 seconds 8 v 10 feet per second and t 4 seconds 9 v 45 miles per hour and t hour

Use the Venn diagram shown to the right to list the set An Bin roster form AnB Use a comma to separate answers as needed possible U 4 5 19 3 10 11 7 13 15 14

Use the Venn diagram to represent the set An B in roster form ANB Use a comma to separate answers as needed

Let U q r s t u v w x y z A q s u w y B q s y z C v w x y z List the elements in the set BUC O A q r s t u v w x y z OB q s u w y OC v w x y z OD q s v w x y z

Determine the exact value of sin 17 12 points

A math tutor working with a small study group has classified students in the group by whether or not they scored 95 or above on each of three tests The results are shown in the Venn diagram to the right Use the Venn diagram to represent the set of students who scored 95 or above on exam 2 and exam 3 in roster form possible Choose the set of students who scored 95 or above on exam 2 and exam 3 O A Gus Ny Roz Don Jen Ben Eva Flo O B Gus Ny Ben Eva Flo OC Lon Cam Al Hui OD Roz Don Jen Exam 1 95 Mel Oli Ken Pat Ev

Find the cardinal number for the set B x x is a letter of the alphabet OA 25 OB 30 OC 23 OD 26

Convert to degrees 13 points 8T 3

Determine the exact values of the six trigonometric functions for 0 if 7 5 is a point on the terminal side of 0 Reduce fractions and simplify radicals Do not use decimals Q1 1 50 Points sin 9 points cos 9 points

Determine whether the following statement is true or false 5E 1 2 3 15 True False

Determine the exact value of cos 5 12 points

The subsets A B and C of the universe U satisfy the following conditions n A 40 n B 48 n C 42 n An B 8 n An C 10 n BNC 4 n AnBn C 2 n ANBNC 81 Find n U

Convert 675 to radians 13 points

Are the sets equivalent A Larry Moe Curly Shemp B Posh Sporty Baby Scary O Yes O No

Student s t table use the closest d f that is smaller In some situations this choice of d f may increase the P value by a small amount and therefore produce a slightly more conservative answer In an effort to determine if rats perform certain tasks more quickly if offered larger rewards the following experiment was performed On day 1 a group of three rats was given a reward of one food pellet each time they ran a maze A second group of three rats was given a reward of five food pellets each time they ran the maze On day 2 the groups were reversed so the first group now got five food pellets for running the maze and the second group got only one pellet for running the same maze The average times in seconds for each rat to run the maze 30 times are shown in the following table A B C D E F Time with one food pellet 3 8 4 4 3 0 3 1 3 5 Time with five food pellets 3 1 3 5 2 8 3 3 2 8 3 0 Rat USE SALT H Do these data indicate that rats receiving larger rewards tend to run the maze in less time Use a 5 level of significance Let d one five a What is the level of significance 0 05 State the null and alternate hypotheses Enter for as needed Ho x X X Will you use a left tailed right tailed or two tailed test Otwo tailed left tailed Oright tailed 3 9 b What sampling distribution will you use What assumptions are you making We ll use the standard normal We assume that d has an approximately uniform distribution We ll use the Student s t We assume that d has an approximately normal distribution We ll use the Student s t We assume that d has an approximately uniform distribution We ll use the standard normal We assume that d has an approximately normal distribution What is the t value of the sample test statistic Round your answer to two decimal places c Find or estimate the P value OP value 0 250 0 125 P value 0 250 0 050 P value 0 125 0 025 P value 0 050 0 005 P value 0 025 P value 0 005

Two coins are tossed Assume that each event is equally likely to occur a Use the counting principle to determine the number of sample points in the sample space b Construct a tree diagram and list the sample space c Determine the probability that no tails are tossed d Determine the probability that exactly one tail is tossed e Determine the probability that two tails are tossed f Determine the probability that at least one tail is tossed www What is the sample space Choose the correct answer below A HH HT TH TT B H T OC H T H T OD H T HH HT TH TT c The probability that no tails are tossed is Simplify your answer

A box contains three cards On one card there is a rectangle R on another card there is an apple A and on the third card there is a sun S Two cards are to be selected at random with replacement Complete parts a through e below SKA List the sample space Choose the correct answer below O A RR RA RS AR AA AS SR SA SS OB RA AS SR OC RA RS AR AS SR SA O D RR RA RS SR SA SS A s A S R A S S SP R A

Would you favor spending more federal tax money on the arts Of a random sample of n 230 women 66 responded yes Another random sample of n 170 men showed that r 53 responded yes Does this information indicate a difference either way between the population proportion of women and the population proportion of men who favor spending more federal tax dollars on the arts Use 0 05 a What is the level of significance 0 05 State the null and alternate hypotheses Enter for as needed Ho P1 P USE SALT H P P b What sampling distribution will you use What assumptions are you making O It follows the Student s t sampling distribution The number of trials is sufficiently large It follows the standard normal sampling distribution We assume the population distributions are approximately normal Use the sample test statistic to find the corresponding z or t value as appropriate Test the difference p P Round your final answer to two decimal places O O It follows the Student s t sampling distribution We assume the population distributions are approximately normal O It follows the standard normal sampling distribution The number of trials is sufficiently large c Find the P value Round your answer to four decimal places P value O Sketch the sampling distribution and show the area corresponding to the P value 3 2 1 3 2 1 0 0 1 2 1 2 3 3 GO 00 2 3 3 1 0 1 2 3 0 1 2 1 2 3 G

From the list shown Steve will purchase one appetizer one beverage and one dessert at random to bring to a party Complete parts a through e a Determine the number of points in the sample space The number of points in the sample space is Appetizer Chips and dip D Vegetable tray V Cheese plate C Beverage Lemonade L Soda S Dessert Brownies B Cake K Ice cream 1

The Flotterons plan to purchase paint for the walls and for the trim in their living room They select one color for the walls and one color for the trim at random from following colors Walls Taupe Mahogany Chocolate Sable Trim Vanilla Eggshell Alabaster Oyster Complete parts a through e a Determine the number of points in the sample space points in the sample space There are

Consider the following 5 4 3 domain range 1 y 5 4 3 2 1 1 2 3 Use the Vertical Line Test to determine OYes the curve is a function of x O No the curve is not a function of x 4 1 2 WebAssign Plot 3 4 5 whether the curve is the graph of a function of x If the curve is a function state the domain and range Enter your answers using interval notation If the curve is not a function enter NO Manter i X

For problems 17 21 use the weighted voting system 25 22 12 6 3 and the Banzhaf definition of power The four players are P P2 P3 and P4 17 The weight of the coalition P2 P3 P4 is 17 A 25 B 22 C 21 D 40 E none of these 18 The number of winning coalitions is A 15 B 1 C 8 D 7 E none of these 19 Which players in the coalition P1 P2 are critical A P only B P1 and P2 C P2 only DNone of the plauora 18 19

In the weighted voting system 14 7 7 6 A P has all the power P2 and P3 are dummies B P1 and P2 have equal power P3 is a dummy C all three players have equal power D P1 and P2 have equal power P3 is not a dummy E none of these

Problems 9 11 For an election with 4 candidates A B C and D we have the following preference schedule Number of voters 20 14 872 A C D CD B B B DA CDABB DACA C 9 When using Copeland s Method which candidate wins in the comparison between candidate A and candidate D 1st choice 2nd choice 3rd choice 4th choice A A B Neither it is a tie C Cannot be determined from the information given D D E none of these A 0 B 1 C 2 D 3 D When using Copeland s Method how many comparisons does candidate A win of these 9 10

For an election with four candidates A B C and D we have the following preference schedule Number of voters 15 11 9 6 2 A CD B C B B C D D C D B C B DAAAA 1st choice 2nd choice 3rd choice 4th choice 8 Since there is no majority winner use the Instant Runoff Voting IRV method to determine a winner Which candidate wins the election A A B B C C D D E none of these 8

A comparison is made between two bus lines to determine if arrival times of their regular buses from Denver to Durango are off schedule by the same amount of time For 51 randomly selected runs bus line A was observed to be off schedule an average time of 53 minutes with standard deviation 17 minutes For 60 randomly selected runs bus line B was observed to be off schedule an average of 60 minutes with standard deviation 15 minutes Do the data indicate a significant difference in average off schedule times Use a 5 level of significance Let bus line A be population 1 and bus line B be population 2 USE SALT a What are we testing in this problem a single proportion a single mean a difference of proportions a paired difference difference of means b What is the level of significance 0 05 State the null and alternate hypotheses in minutes Enter for as needed Ho M1 1 H M 1 c What sampling distribution will you use What assumptions are you making We ll use the standard normal Since the sample sizes are not sufficiently large we need to assume the data are two independent random samples from the relevant populations and that the population distributions are at least mound shaped We ll use the Student s t Since the sample sizes are sufficiently large we only need to assume the data are two independent random samples from the relevant populations We ll use the standard normal Since the sample sizes are sufficiently large we only need to assume the data are two independent random samples from the relevant populations We ll use the Student s t Since the sample sizes are not sufficiently large we need to assume the data are two independent random samples from the relevant populations and that the population distributions are at least mound shaped Use the sample test statistic to compute the corresponding distribution value Test the difference Round your answer

Physical Activity 1 Using a periodic table fill in the blanks to complete the following nuclear equations Then identify which type of decay particles were produced Hi lite the alpha particle with green beta particles with blue and gamma rays with yellow Kindly use RED INK in answering 1 2 4 12Ke 3 21Pb 5 35 13C H 56 35CL 206Hg 80 He 207T1 ie Ni 6 7 Baie 8 Mg 9 5N H 2C 10 Be H 22 Mg 3C He alpha beta Gamma

Consider independent random samples from two populations that are normal or approximately normal or the case in which both sample sizes are at least 30 Then if o and are unknown but we have reason to believe that o we can pool the standard deviations Using sample sizes n and n the sample test statistic x x has a Student s t distribution where 2 with degrees of freedom d f n n 2 and where the pooled standard deviation s is n 1 s 2 n 1 5 n n 2 Note With statistical software select the pooled variance or equal variance options LAUSE SALT a There are many situations in which we want to compare means from populations having standard deviations that are equal This method applies even if the standard deviations are known to be only approximately equal Consider a report regarding average incidence of fox rabies in two regions For region I n 16 x 4 6875 and s 3 0489 and for region II n 15 x 4 and s 2 1381 The two sample standard deviations are sufficiently close that we can assume Use the method of pooled standard deviation to consider the report testing if there is a difference in population mean average incidence of rabies at the 5 level of significance Round your answer to three decimal places State the null and alternate hypotheses Enter for as needed H i th kh ng H M 12 Use the sample test statistic to find the corresponding t value Test the difference Round your final answer to two decimal places

Determine whether the subset of Mn n is a subspace of Mn n with the standard operations of matrix addition and scalar multiplication The set of all n x n matrices whose entries sum to one O subspace O not a subspace

Is W a subspace of the vector space If not state why Select all that apply W is the set of all vectors in R2 whose components are rational numbers OW is a subspace of R OW is not a subspace of R2 because it is not closed under addition OW is not a subspace of R2 because it is not closed under scalar multiplication

In this problem assume that the distribution of differences is approximately normal Note For degrees of freedom d f not in the Student s t table use the closest d f that is smaller In some situations this choice of d f may increase the P value by a small amount and therefore produce a slightly more conservative answer In environmental studies sex ratios are of great importance Wolf society packs and ecology have been studied extensively at different locations in the U S and foreign countries Sex ratios for eight study sites in northern Europe are shown below Location of Wolf Pack Males Winter Males Summer Finland Finland Finland Lapland Lapland Russia Russia Russia USE SALT a What is the level of significance 0 05 88 39 79 55 64 50 41 55 69 Will you use a left tailed right tailed or two tailed test Oright tailed two tailed left tailed 42 61 48 55 50 It is hypothesized that in winter loner males not present in summer packs join the pack to increase survival rate Use a 5 level of significance to test the claim that the average percentage of males in a wolf pack is higher in winter Let d winter summer 50 45 State the null and alternate hypotheses Enter for as needed Ho H b What sampling distribution will you use What assumptions are you making We ll use the Student s t We assume that d has an approximately uniform distribution O We ll use the Student s t We assume that d has an approximately normal distribution We ll use the standard normal We assume that d has an approximately uniform distribution We ll use the standard normal We assume that d has an approximately normal distribution What is the t value of the sample test statistic Round your answer to two decimal places

List the advantages of using paired data to conduct a statistical test Select all that apply Using paired data should theoretically reduce measurement variability and decrease the accuracy of statistical conclusions Using paired data should theoretically reduce measurement variability and increase the accuracy of statistical conclusions Using paired data should theoretically increase measurement variability and decrease the accuracy of statistical conclusions Using paired data often enhances the effect of extraneous or uncontrollable factors being present in our data Using paired data should theoretically increase measurement variability and increase the accuracy of statistical conclusions Using paired data often reduces the effect of extraneous or uncontrollable factors being present in our data

In this problem assume that the distribution of differences is approximately normal Note For degrees of freedom d f not in the Student s t table use the closest d f that is smaller In some situations this choice of d f may increase the P value by a small amount and therefore produce a slightly more conservative answer Are America s top chief executive officers CEOS really worth all that money One way to answer this question is to look at row B the annual company percentage increase in revenue versus row A the CEO s annual percentage salary increase in that same company Suppose a random sample of companies yielded the following data B Percent increase 22 25 27 18 6 for company A Percent increase for CEO 4 21 37 25 23 22 14 4 19 15 30 LUSE SALT Do these data indicate that the population mean percentage increase in corporate revenue row B is different from the population mean percentage increase in CEO salary Use a 5 level of significance Let d B A a What is the level of significance X You may have forgotten to multiply or divide by 100 State the null and alternate hypotheses in percent Enter for as needed Ho Check which variable s should be in your answer

Give the intervals on which the function is increasing decreasing or constant Simplify your answers completely Enter your answers using interval notation If an answer does not exist enter Objective 1 increasing decreasing constant 000

Give the intervals on which the function is increasing decreasing or constant Simplify your answers completely Enter your answers using interval notation If an answer does not exist enter DNE Objective 1 increasing decreasing constant

Find an equation for the line whose graph is sketched y 3 1 0 2 1 3 5 X

The slope of a vertical line is Select ex The equation of the vertical line passing through 5 2 is

Find an equation for the line whose graph is sketched y 1 0 1 3 X

The point slope form of the equation of the line with slope 3 passing through the point 1 2 is

The slope of a horizontal line is Select The equation of the horizontal line passing through 7 6 is

The point slope form of the equation of the line with slope 3 passing through the point 1 2 is

Find the slope of the line through P and Q P 2 8 Q 0 0

Assume that name is a variable of type string that has been assigned a value Write an expression whose value is a string containing the second character of the value of name So if the value of name were Smith the expression s value would be m

Assume that sentence is a variable of type string that has been assigned a value Assume furthermore that this value is a string consisting of words separated by single space characters with a period at the end For example This is a possible value of sentence Assume that there is another variable declared firstWord also of type string Write the statements needed so that the first word of the value of sentence is assigned to firstWord So if the value of sentence were Broccoli is delicious your code would assign the value Broccoli to firstWord

In the following diagram suppose side e 9 02 m and side f 1 74 m side j 2 12 m Find the Length of side i e g f ct hundredth if needed Be sure to include proper