Permutations and Combinations Questions and Answers

am has a coin jar that contains nickels dimes and quarters There are 194 coins in the jar There are 3 more dimes than quarters If the total value of the coins in the 26 60 how many quarters does the jar contain nt Define variables write a system of equations and solve e jar contains quarters

How many ways can four be seated in a row c four seats students

A pizza shop offers ten toppings How many different three topping pizzas can be formed with the ten toppings Assume no topping is used twice

In the following problem divide using long division State the quotient q x and the remainder r x 2x4 3x 3x X 2 2x 3x 3x X 2 X 2 Simplify your answers Do not factor Use integers or fractions for any numbers in the expressions

Write a polynomial function that has given zeros with the listed multiplicities In each problem assume a 1 5 Zero x 3 Multiplicity 2 7 Zero x 3 Multiplicity 2 Zero x 2 Multiplicy I 6 Zero x 0 Multiplicity 2 Zero x 2 Multiplicy 1 8 Zero x 1 Multiplicity 1 Zero x 1 Multiplicy 1 Zero x i Multiplicy 1 Zero x i Multiplicy 1

Ch 10 Qutzi TB MC Qu 10 44 Algo Currie Company bo

Job Training In a large on the job training program half of the participants are female and half are male In a random sample of four participants what is the probability that an investigator will draw at least one male Round your answer to four decimal places P X 1

The graph of y e is transformed as shown in the graph below Which equation represents the transformed func 77 17 y ex 3 Oy e 3

Solve the following exponential equation Express the solution in terms of natural logarithms or common logarithms Then use a calculator to obtain a decimal approximation for the solution em The solution set expressed in terms of loganthms is Use a comma to separate answers as needed Simpty your answer Use iroegers or tractions for any numbers in the expression Uss In for natural logarithm and log for common logarithm Now use a calculator to obtain a decimal approximation for he solution The solution set is Use a comma to separate answers as needed Hound to two decimal places as needed

Select the graph of f x 2 37 37 37 75 7971795 323 567 44 224 a 15 7 9 9 9 9 9 9 9

Graph the function f x 2x 12x 14 by starting with the graph of y x and using transformations shifting stretching compressing and or reflecting Use the graphing tool to graph the function Click to enlarge graph 10 8 6 4 LO z 101 8 6 4

Which of the following describes the effect of remitting the sales tax to the tax auth Multiple Choice O O O Decreases liabilities A claims exchange transaction Decreases stockholders equity All of these answer choices are correct

dy Let y t be the solution to 4te satisfying y 0 3 y dt a Use Euler s Method with time step h 0 2 to approximate y 0 2 y 0 4 y 1 0 k tk 00 10 2 20 4 30 6 40 8 51 0 Yk 3 b Use separation of variables to find y t exactly y t c Compute the error in the approximations to y 0 2 y 0 6 and y 1 y 0 2 y y 0 6 y3

D Question 5 17 2 M Find the value of x i 2 x 1 8

Goo A Mati N Stud Isl exe 10 u IgNslkr7j8P3jH IB Homework C3S4 Question 8 of 9

How many ways can five people line up at a checkout counter in a supermarket

Question 8 1 Rewrite the exponential equation 4 16 O 1084 O 1 16 log4 1 16 Tak 2

Question 2 Evaluate the function f x logs x at Q 2

Solve the system of ed x 3y2z 10

oter 8 Quiz i 4 TB MC Qu 08 95 Static The balance sheet of The balance sheet of Flo s Restaurant showed total assets of assets at 680 000 If Alice Company pays 770 000 cash fo

Eight athletes are entered in the 220 meter sprint In how many different orders can the eight sprinters finish

Enter the value of n such that n 6 n Use the on screen keyboard to type your answer in the box below 7 4 1 8 5 2 12 65 is true 9 6 3 4 X I

How many four letter permutations can be formed from the first five letters of the alphabet

State if each scenario involves a permutation or a combination Then find the number of possibilities 5 Castel and Joe are planning trips to three countries this year There are 7 countries they would like to visit One trip will be one week long another two days and the other two weeks 7 You are setting the combination on a three digit lock You want to use the numbers 123 but don t care what order they are in 9 A team of 17 softball players needs to choose three players to refill the water cooler 11 The student body of 10 students wants to elect a president vice president secretary and treasurer 13 There are 15 applicants for four jobs Computer Programmer Software Tester Manager and Systems Engineer 6 There are 110 people at a meeting They each shake hands with everyone else How many handshakes were there 8 A group of 25 people are going to run a race The top 8 finishers advance to the finals 10 5 out of 13 students will ride in a car instead of a van 12 Selecting which seven players will be in the batting order on a 11 person team 14 A group of 45 people are going to run a race The top three runners earn gold silver and bronze medals

A student is given a reading list of ten books from which he must select two for an outside reading requirement In how many ways can he make his selection

12 What percent of 505 is 223 O about 0 442 O about 4 42 O about 44 16 O about 2 26

7 Peter Pantz invests 1000 in an account earning 7 3 annually How many years will it take for Peter s money to double Manw be 0700022 word of

Approximate the number using a calculator e 0 96 e 0 96 Round to three decimal places

Evaluate the integral by changing to cylindrical coordinates 9 x 1 0 x x y dz dy dx 81 X

Solve the logarithmic inequality log4 6x 3 0x 1 1 20 x 3 2 00 x 3 3 2 No Solution

Find the inverse of the following function P x 5 p x log 5 p x log x p x log 5x p x log x

Find the inverse of the following y In x 3 y e 3 y x e y e 3 y 3e

Which shows the graph of the function f x 2In x 2 1 32 3 2 1 11 1724 321 4432 45 2 J 31 2 11 2 31 f

3 V M R and f X Y tr XY Find canonical form of corresponding quadratic form rank and signature the

49 54 Logarithmic Equations Solve the logarithmic equation for x as in Example 7 49 log x log x 1 log 4x

45 48 Equations Involving Exponential Functions Solve the equation 45 22 2 0 46 x 10x10 2 10

In the following exercises use the rules for sums of powers of integers to compute the sums 10 2 i i 5

A mobile phone company determined with 95 confidence that the a teenager with a mobile phone send an average of 180 text messages 20 messages each day Which of the following statement is most likely to be true based on the study O O 0000000 DOGOOGL 0000000 There is a 95 probability that every student with a mobile phone sends at least 160 messages a day There is a 95 probability that every student with a mobile phone sends at most 200 messages a day There is a 95 probability that the true average of text messages sent by a teenager is somewhere between 160 and 200 text messages a day There is a 95 probability that the true

Question 4 20 points A study showed that the mean cost of a car repair at a shop was 248 with a standard deviation of 96 and the data was approximately normally distributed If a customer had a bill that was 370 at the shop what would be the z score associated with 370 days O 0 786 z 1 105 Oz 1 105 O z 1 271 Oz 1 271 Question 5 20 points A study was being conducted about birth weights of babies at a local hospital and found the average to be 7 6 pounds with a standard deviation of 1 3 pounds the distribution was Many birthe

Simplify log10 100 O 0 01 O O 02 10

Let E x x is a negative even integer Then 2 Check Clear Help Do it Let F p p is a real number with p 9 Then 9 1 OEE O E OE F F

Find the quotient q x and the remainder r x so that a x q x b x r x q x a x 10x 7x 5 10x37x25

ind a formula for the inverse of the following function if possible AnswerHow to enter your answer opens in new window 2 Points P x 5 x 4 Keyboard Selecting a radio button will replace the entered answer value s with the radio button value If the radio button is not selected the entered an used P x does not have an inverse function

a x x 5x Answer 10x 50 Step 2 of 2 Use polynomial division and the quadratic formula if necessary to identify the actual zeros

Abdul borrowed 8000 at a rate of 9 compounded monthly Assuming he makes no payments how much will he owe after 6 years Do not round any intermediate computations and round your answer to the nearest cent

Solve the system of equations below by graphing and write the solution as an ordered pair For credit the ordered pair must be correct and both lines must be drawn correctly on the graph y 2x 3 4x 8y 16 Solution 6 5 4 3 2 1 9 5 4 3 2 1 1 2 3 4 5 1 2 3 5

Which graph below correctly shows y 2r 3 2 O J 2 x 2 x22

Identify any horizontal asymptotes of the function f x 0y 0 y 0 y 1 2 y 1 None x 6x 9 2x 18

Which function has a range of y 3 x x 3 Ax x 3 Ax x 3 Ax x 3 O

1 Copy each right triangle Label the hypotenuse and the opposite and the adjacent sides relative to Z A Then find the sine cosine and tangent ratios for LA Express the ratios as fractions in lowest terms a 5 cm B 13 cm 12 cm b 12 m B 15 m 9m