Permutations and Combinations Questions and Answers

X Y ction Describe the domain and range a y 2 3 2 1 0 1 1 5 2 0 75 PR D R 770 b y 3 0 5 2 X Y 219 1 10 O O 1 D R R 25

Exercise 12 Solve the triangle b 63 9 km c 75 7 km and A 122 10 Apply the rules regarding the use of significant digits after all computations are complete

Consider the following functions Step 3 of 4 Find fg 1 f 2 5 3 1 1 1 and 8 1 1 1 2 4 1 3 1 AnswerHow to enter your answer opens in new window 2 Points

The expression is rewritten as 2 8 3 23 2 8 23 Next simplify the numerator Distribute the power of to the factors in the parentheses and find the cube root o Which answer shows the numerator simplified correctly

Use the given property of addition to complete each equation a Commutative Property 2 a 2 a 2a 2 a 2 la 2 a a 2 2 a a 2 2 a a2 b Associative Property 4 9 1 4 9 1 4 9 1 4 9 1 4 91 O 4 9 1 4 9 1 4 9 1 4 9 1 4 9 1 4 9 1 c Additive Identity Property x 0 0 x Ox 0 0x x 0 0 x x 0 x x 0 0 X 0

As accounts manager in your company you classify 28 of the customers as good credit and the rest as risky credit depending on their credit rating Customers in the risky category allow their accounts to go overdue 64 of the time on average whereas those in the good category allow their accounts to go overdue only 5 of the time Fill in the missing probabilities as set up in the formula above to obtain the probability that an overdue account is held by a customer in the risky credit category Answers accurate to 4 decimal plac Check Clear Help

5 Roll a pair of dice until you get a double 1 X the number of times you roll the dice O1 2 3 4 36 Values of X O 1 2 3 4 O2 3 4 12 6 Survey the entire population of the earth Y the average weight All nonnegative real numbers Values of X O 1 2 3 21 2 3 1 000 Check Check

Use the diagram of the cube a How many squares are on the green side of the cube squares b How many squares are on all sides of the cube squares

Consider the following polynomial Step 2 of 2 Describe the behavior of the graph of s x as x 0 Answer s x s x 6x 3x 11 as x as x 8

Consider the following polynomial Step 1 of 2 Find the degree and leading coefficient of s x Answer How to enter your answer opens in new window Degree 2 s x 6x 3x 11 Leading Coefficient

Evaluate the given binomial coefficient 11 3

Look at the graph 10 5 Submit 0 5 5 10 5 10 What is the equation of the horizontal asymptote

10 yd Surface Area 16 yd 1 19 yd 769 06 yd Show Transcribed Text

Simplify and write answer as a reduced fraction 50 98

Solve for y 2 3y 5 3 5y The solution is y

4 The roots of polynomials are given below Find a possible equation in standard form a x 0 x 5 x 9 b x 5 2i x 5 2i

many different 9 letter words don t worry about whether they are in the dictionary can be formed using the letters in the word SEVENTER words

Determine whether each problem is asking for a permutation or a combination A four member committee is formed from an association with 30 members A three member committee made up of a president vice president and treasurer is chosen from a club with 80 members Choose Choose 4

Find all zeros real and non real of f x x 7x 32c 60 Additionally fully factor the function including factors for non real zeros Enter the zeros separated by commas The fully factored function is f x

Traveling Sales Person Graph TSP You are renting a limousine that charges certain rates to visit each of the following cities You need to visit each city once and you need to start in Athens and end in Athens Use the Brute Force Algorithm to find the cheapest route to visit each city and return home again to Athens Trip Between Athens and Buford Athens and Cumming Athens and Dacula Buford and Cumming Buford and Dacula Cumming and Dacula Cost 70 50 60 25 70 30 ATH BUF CMM DAC ATH 185 ATH CMM BUF DAC ATH S ATH BUF DAC CMM H DAC RI Neftali Moreno Miranda Attempt 2 30 DACULA CUMMING G theme of the poem thert frame auto d2l ou 573931 isprv drc 0 70 25 X BUFORD

May 0 23 55 AM Wal help tan 2 x sin 2 x cos 2 x cos 2 x Submit Answer is equivalent to sin 2 x

and 1 2 Given tan 8 determine the exact value of the expression sin 0 cot 8

Planar Graphs Which graph represents an INCOMPLETE BIPARTITE graph Z

Time Taken 0 01 16 Neftali Moreno Miranda Attempt 4 Question 4 25 points The table at the right shows the Task Start times and tasks that must be A Set up meetings with at least 4 vendors publishers to compare completed to create a school s yearbook Which EST graph below correctly represents the information in the table costs B Train students to use cameras for yearbook photos C Administrators meet to select a Vendor Publisher D Vendor take individual student faculty photos E Students take photos of clubs and random shots F Teach student how to u Publisher Software G Get photos from company and from student photographers H Compose entire layout in Publisher software 1 Send to Company layout to company J Receive Yearbooks Finish Time days 0 14 25 10 10 30 35 20 30 5 50 Prerequisite None None None A C B E D E F G H

Question 1 25 points Using the following information to create an EST graph one is set up for you Which of the below is the correct critical path and minimum project time Start 0 0 5 B 0 0 5 D 1 0 3 0 BCEHIJK 51 7 BCDEFGIJK 51 7 ACDEHIJK 51 7 ACDEFGIJK 51 7 36 E 4 0 36 F 3 5 G 40 H 1 5 40 43 5 1 2 K 49 2 3 5 I 1 0 J 44 7 45 7 2 5 FINISH 51 7

Question 3 25 points Chromatic Numbers Use graph coloring to find the minimum number of colors needed to color the map MAP of Pizza Isle B A D E F

3 points What happens to plant and marine life in coastal waterways and estuaries when hypoxic conditions occur Decrease in boat traffic in the waterways 0000 Decrease in plant and marine life in the waterways Increase in plant and marine life in the waterways Large fish like sharks need to swim faster and bump into swimmers

Write the fifteenth term of the binomial expansion of a 2 b 20 The fifteenth term is

In an experiment the probability that event B occurs is and the probability that event occurs given that event B occurs is What is the probability that events A and B both occur Simplify any fractions

Which equation is graphed 5 IL 2 2 3 4 5 6 2 65 4 5 1 x 2 2 x f x 3 x 1 3 s x 1 1

Let f x 3x 6x 11 a Find the vertex of the parabola b Use the discriminant to determine the number of x intercepts the graph will have Then determine the x intercepts a The vertex is Type an ordered pair using integers or fractions b Select the correct choice below and if necessary fill in the answer box to complete your choice GLEED OA There are two x intercepts The x intercepts are Type ordered pairs using integers or fractions Use a comma to separate answers B There is one x intercept The x intercept is Type an ordered pair using integers or fractions OC There are no x intercepts

9 7 6 5 4 3 2 HO 9 y 948 7 6 5 321 2 2 3 4 S 7 8 10 H 3 4 5 Give the equation for the ellipse graphed above

Anatomy Physiology II Paruk mit Assignment Test Ch 4 and 6 Test Ch 4 and 6 MAT 100 08 Intermediate Algebra Question 10 of 25 Step 1 of 1 Find the product of the binomials using the appropriate special product difference of two squares square of a binomial difference Answer 2 Points x 2 x 2

8 If you were to save 50 each week how much could you invest each month use four weeks per month How much could you invest in a year 12 months using that monthly figure Per Month Per Year 9 If you were to invest that monthly amount from question 8 each month with a 12 rate of return how much would you have after 10 years 20 years 30 years 40 years 10 years 30 years

Simplify the following expression using rational exponents Assume all variables are positive 2 4a

Solve the equation Leave your answer in exact form log x 3 log x 2

Use the like bases property to solve the equation 10 8 102 4 I

Select the graph of f x e 6464 2 a J J S 4

ill out the Venn diagram using the given information Answer 2 Points C 29 An B 23 A 33 B 32 An C 23 Bn C 22 An Bn C 19 U 78 U B A

A computer password is 6 entries long If the password must have 3 letters followed by 3 numbers with repetition of numbers and or letters permitted how many different passwords possible

p 2p p 11p 18 p 81 enolonu 640BS 2 p 7p 18 lept 10

3 7n 42 36 n 2

A bridge hand is made up of 13 cards from a deck of 52 Find the probability that a hand chosen at random contains at least 2 kings The probability that a bridge hand chosen at random contains at least 2 kings is Round to four decimal places as needed

art II Inflation and Graphs 3 Imagine an item that costs 300 today like 3 concert tickets or a nice winter jack below represents the change in the price of that item over time assuming an average annual inflation rate of 2 750 700 eso 650 500 450 1400 350 300 250 200 450 400 1 20 years a Approximately how much has the price of the item increased after 15 years b This function has a growth factor of 1 02 and is exponential Why does it appear almost linear in the graph c This function shows a 2 annual increase in price using the equation y 300 1 02 Rewrite this equation to instead show the 2 annual decrease in purchasing power of that same 300 over time

Answer 2 Points 10 2023 Hawkes Learning 5 Ho Enable Zoom Pan Step 1 of 2 Use the graph to determine the locations and type of the local extrema Write DNE for all extrema that do not exist Separate multiple answers with a comma if necessary ay Keypad Keyboard Shortcuts

Find the value of each variable in the figure on the right X y Simplify your answer Simplify your answer 350 72 X o

Which inequality matches the graph 7 6 3 4 3 2 1 0 1 2 3 4 367 O a p 1 O b p 1 O c p 1 O d p2 1

Isolate for the literal equation y mx b 6 O a b O X b b do O c b MX d h y mx

alue 2 Solve for b 5 36 4 O a b 5 and b 3 O b b 3 and b O c b 3 O d b 3 and b 4 3

Value 2 Solve for n 12 3n 7n a n 4 O b n 5 O c n 8 O d n 3