Permutations and Combinations Questions and Answers

Question 1 25 points Which of the following is the graph of f x 3x 21 3 5 4 3 2 1 5 4 3 2 5 4 3 2 1 1 2 3 2 3 2 3 21 11 1 2 31 5 2 Y V 12

Simplify the expressions 13 81x 2 14 5 10 6 2 10 15 2x 9

12 g x 2 6 5 4 3 2 1 YA 5 3 1 1 2 3 4 5 6 x

Find standard notation a bi 12 cos 60 i sin 60 Select one O a 1 3i O b 6 6 3 1 O C O d 1 3i 6 6 3

2 pontos p q A 3 2 8 5 7 6 If the measure of 25 are parallel find these angles 130 deg and lines p and q measure of 1 digite sua resposta deg measure of 4 digite sua resposta 888 measure of 27 digite sua resposta deg deg

Consider the following set that shows the high temperature in Orlando for the past 8 days 91 90 90 90 84 82 81 90 The mean of these data would be digite sua resposta Do not round 1 ponto Consider the following data set that shows the number of hours a week families in a neighborhood spend watching television 0 7 5 12 10 20 7 8 3 The mean of these data would be x

Choose the expression equivalent to 7 Which of the following expressions is equivalent to 7 O log 7X e O exln7 7x

work Part I ind the limits in a through c below for t Sill

how many ways can 6boys and 6girls be seated at a round table if the girl and the boys are to occupy alternate seats

Uperties of logarithms to expand the logarithm log 5x4y Simplify if poss Sorry that s incorrect Try again log 5x log 5 4 log x 2 log y

population of animals is growing exponentially and an ecologist has made the following table of the population size in thousands at the start of the given year Population in thousands Year 2011 5 28 2012 5 44 2013 5 60 2014 5 73 2015 5 94 2016 6 12 Looking over the table the ecologist realizes that one of the entries for population size is in error Which entry is it and what is the correct population Round your population answer to wo decimal places 2011 Year Population in thousands

6 The two way table shows some information about the number of boys girls and teachers at three schools Boys Girls Teachers Total Complete the two way table School A 85 13 191 School B 29 31 5 School C 54 47 Total 171 366

Question 1 25 points The following shows a list of a student s homework grades for a grading period 80 90 84 86 95 Which center should be used to best represent the data The mean grade is 87 O The median trade is 86 O The mode of the grades is 80 O The range of the grades is 15 Question 2 25 points Consider the data set represented by the dot plot 500 1000 Which word best describes the red data point Unbalanced

INSTRUCTune com The mangies drawn between each pan or points are siminal structions se the graph of the linear function shown on the coordinate grid to an C y 6 1

ning after Pose that 2 000 vested at a route of Compouned anually d final ammont er 7 years voje find all the missing Valve log5 logg11 10g log 3 log 4 log 44 7 109527 310950

g x x 4 h 4 4 4 8 6 1 8 2 9 6 find the following g x L gog 1 0 h 8 17 Aval 2 4

Which of the following illustrates the product rule for logarithmic equations O log 4x log24 log x O log 4x log24 log x O log 4x log 4 log x O log 4x log 4 log x

Write the following equation in log 381 y

the dire ence of two squares 256x 81 Select the correct choice below and fill in any answer boxes within your choice OA 256x4 81 Factor completely B The polynomial is prime

Graph the function by substituting and plotting points f x 6 ex Choose the correct graph O A OB O C O D

Find the zeros of the polynomial function and state multiplicity of each f x x x 1 x 6 The smallest zero is with multiplicity

A teacher is planning a museum visit The equation C 660 28g models the relation between the cost in dollars C of the museum visit and the number of visitors g The C intercept tells us For every additional visitors the museum visit costs an additional 28 O For every additional visitors the museum visit costs an additional 660 O If no visitors show up the museum visit costs 28 O If no visitors show up the museum visit costs 660

an equation in slope intercept form of the line that passes through the points 2 2 and 1 7

Find the slope and y intercept 4x 2y 10 m b 5 2

3 2 ID 3850057 MTH ALG1 6 b 1 y Points Reyd 0 of 1 5 3 2 3 4 5 X Go to Top Which best represents the equation of the line shown X Feedback A 2x 1 Feedback B y 2x 1 Feedback C y 2x 1 Feedback D y 2x 1

Which is the slope of the line on the graph below AY A Feedback A 0 7 433 D Od H 3 8 7 6 5 4 3 2 10 1 2 3 4 5 6 2 OH NO 2 10 5 X

Use the given information to fill in the num diagram n A 21 n B 17 n An B 13 n A 24

Write log 3 as a quotient of natural logarithms Sorry that s incorrect Try again

12 Elean Schenandore purchased 300 shares of CY Energy stock online and paid a total of 8 484 95 She sold the stock at 39 94 per share and paid a 39 95 sales commission a What was the net amount of the sale b What was the profit or loss from the sale

For Problems 3 6 compute a the cost of the stock and b the total paid Cost of Stock 3 4 5 C Company Nelson Inc Galvin Co Dunkle LTD Warncke Co Number of Shares 100 X 900 500 2 500 Cost per Share 110 50 45 90 X 35 60 S 62 45 a a a la Commission Total Paid 9 99 b 50 00 b 45 50 b b 0 03 share

doubling time of 23 3 years Calculate the growth rate Doubling time 70 growth rate A 2 B 4 C 5 D 3

Graph the function f x 4 1 by moving the key points and the horizontal asymptote as needed Provide your answer below 5

For the functions f x 4x 2 and g x Provide your answer below 6x 3 find fog 2 and gof 2

For the functions f x 4x 5 and g x 6x 4 find fog 0 and gof 0 Sorry that s incorrect Try again

Which function has the same domain as y 2 Oy 2x Oy 23 x Oy x 2 Oy x 2

Expand each logarithm 1 log 7 10

Use any strategy to solve each problem Examples 1 and 2 1 Yolanda s club requires that 80 of the members be present for any vote If at least 20 members must be present to have a vote how many members does the club currently have 3 Marcus saved 10 because he bought a baseball glove that was on sale for 40 off What was the original price of the baseball glove 5 Melcher used 24 of the memory card on his digital camera while taking pictures at a family reunion If Melcher took 96 pictures at the family reunion how many pictures can the memory card hold 7 The table shows the number of minutes Tim has for lunch and study hall He calculates that these two periods account for 18 of the minutes he spends at school How many minutes does he spend at school Number of Minutes 2 Action movies make up 25 of Sara s DVD collection If she has 16 action DVDs how many DVDs does Sara have in her collection 4 Of the students in the marching band 55 plan to go to the school dance If there are 110 students in the marching band that are going to the dance how many students are in the marching band 6 Mallorie has 12 in her wallet If this is 20 of her monthly allowance what monthly allowance her 8 The number of sixth grade students accounts for 35 of the total number of students enrolled in middle school There are 245 sixth grade students How many students are enrolled in the middle school

Divide using synthetic division 2x2 x 1 x 4 For the toolbar press ALT F10 PC or ALT FN F10 Mac

BOARD GAME When Tarin and Sam play a certain board game the probability that Tarin will win a game is If they play 5 games find each probability 4 P Sam wins only once O 0 015 or 1 5 0 079or 7 9 0 396 or 39 6 O 0 79or 79

Identify the random variable in each distribution and classify it as discrete or continuous Explain your reasoning the world population Odiscrete continuous 1 p Question 9 1 pts

O O O O AINY MAS SHARES OUTSTANDING 5 575 shares 55 750 shares 5 575 000 shares 5 575 000 000 shares

A child is stringing colorful beads onto a thread All the beads of each color are identical The counts of each color of beads available to the child is given in the following table Colour Count Red 4 Green 3 Yellow 3 Blue 4 If the child uses all of the beads then the number of distinct arrangements that the beads can be stringed is

Learn Percents Greater Than 100 The table shows the total rainfall during April for a certain city for three different years part 3 whole 4 In 2019 it rained less than it did in 2018 To compare the rainfall in 2019 to that in 2018 use the ratio 3 4 Recall that a percent is a ratio that compares a number to 100 You can use equivalent ratios to show that the rainfall in 2019 was 75 of the rainfall in 2018 nem wohl 28160p2 hm woh X25 part whole X25 75 100 X25 x 0f tyd baie 1910 1 02 In 2020 it rained more than it did in 2018 To compare the rainfall in 2020 to that in 2018 use the ratio 5 4 You can use equivalent ratios to show that the rainfall in 2020 was 125 of the rainfall in 2018 Inshaq tow 125 100J X25 Example percent Year 2018 2019 2020 percent April Rainfall in 4 0 3 0 5 0 125 means 125 per 100 125 100 125 to 100 125 or 100 one hundred twenty five percent If the number being compared to 100 is less than 100 then the percent is less than 100 00 Percents are greater than 100 when the number being compared to 100 is greater than 100 When the percent is greater than 100 the part is greater than the whole If the number being compared to 100 is greater than 100 then the percent is greater than 100 Model E MA 6 AR 3 4 Talk About It Suppose the rainfall 2021 is 5 0 inches What percent compares the rainfall in 2021 to the rainfal in 2020 Explain wh this makes sense

Question 4 of 9 Step 1 of 1 Solve the following formula for the indicated variable Answer 7 23 Correct V wh solve for I

1 Rewrite each quadratic function in the vertex form y a x h k by Completing the Square State the vertex a y 3x 6x 7 b y x 4x 1

EFGH is a trapezoid with median bar AD and dicgonals bar EG and bar FH 11 If EF 4x 4 HG 4x and AD 2x 2 what is BC 12 If HG 3x 20 EF x and AD 50 what is AC

The width and the length of a rectangle are in the ratio 2 3 If the perimeter is 260 cm what are the dimensions

determine the top 5 winners from 6 contestants 1 2 3 4 5 6 in mathematics quiz bee Identify which situation illustrate permutation and which illustate combination

find the flow of the velocity field F b Q a 2y 1 i 4xy j along each of the following paths from 0 0 to 2 4 The flow of the velocity field is 0 6 G c Use any path from 0 0 to 2 4 different from parts a and b

The top and bottom margins of a poster are each 6 cm and the side margins are each 2 cm If the area of printed material on the poster is fixed at 388 cm find the dimensions of the poster with the smallest area Round to two decimal places a What is the height that minimizes the area Height cm b What is the width that minimizes the area Width cm