Permutations and Combinations Questions and Answers

for the following figures give the number of lines of symmetry and the smallest rotational symmetry that each one has a b ii

Consider a standard deck of playing cards Suit Clubs Diamonds Hearts Spades Ace Example set of 52 poker playing cards 2 3 4 24 144 A Pay very close attention to the details in the way things are worded Match the events to their probability Drawing an even numbered card or drawing an Ace Drawing a red face card Drawing a spades card or drawing an odd number 5 6 7 8 9 10 Jack Queen King Choices 3 26 46 0 48

20 The angle of elevation to the top of a flag pole is 30 from a distanc of 15 ft from the base of the pole Find the height of the pole 8066 feet 6 21 21 feet 34 feet d 31042 Feet

Which statements correclty gives the DOMAIN and RANGE of this function C y 5 4 3 2 1 5 4 3 2 1 9 1 2 3 4 LO 1 2 Domain 3 x 3 O Domain 3 x 3 3 4 5 LO O Range 2 y 1 Range 2 y 1 Domain 2 x 1 Range 3 y 3 Domain 1 x 2 Range 3 y 3

Robin spins each spinner one time Each spinner has 8 congruent sections as shown Determine the probability that she will spin a 1 on Spinner A and a G on Spinner B 1 2 Spinner A 3 1 1 et 4 2 3 G P Spinner B Y Y R R G B

Juan wants to rent a house He gathers data on many similar houses The distance from the center of the city x and the monthly rent for each house y are shown in the scatter plet Juan models the data with a linear equation Based on the scatter plot what could the number 1275 represent in his equation Rent dollars 1400 1200 1000 800 600 400 200 0 Distance and Rent 8 10 12 Distance from Center of the City

Simplify Assume all variables represent nonzero numbers 3x y 23

A rocket is shot off from a launcher The accompanying table represents the height of the rocket at given times where x is time in seconds and y is height in feet Write a quadratic regression equation for this set of data rounding all coefficients to the nearest tenth Using this equation find the height to the nearest foot at a time of 10 6 seconds Time in Seconds x Height in Feet y 0 4 74 1 174 1 7 280 2 1 333 2 8 416

3 How many possible arrangements are there for a deck of 52 playing cards Consider only the order of the cards and not whether they are turned upside down Suppose you start with a sorted deck and shuffle it repeatedly so that all arrangements become accessible How much entropy do you create in the process

Solve for f t Draw the graph Octst y y f t 0 E2T P 2 TT

Find the complete integral and singular integral of non linear PDE 2 1 Dul 1 Partial differential equation

A couple has decided to purchase a 200000 house using a down payment of 17000 They can amortize the balance at 10 over 15 years a What is their monthly payment Answer S b What is the total interest paid Answer c What is the equity after 5 years Answer d What is the equity after 10 years

2 5 4 34 23 33 is and 42 is B 1 7 3 5 7 If A in span 41 42 Explain 6 points

A t 500 2 t O The a value of 500 is the amount of medication at time t and the b value of 1 2 represents that it decreases every half hour The a value of 500 times the b value of 1 2 is always the amount of medication th will remain in the body The a value of 1 2 represents the original amount of medication and the b value of 500 represents that for every time interval t the amount of medication increase by 500 The a value of 500 represents the original amount and the b value of 1 2 represents that for every time interval t the amount of medication decreases by 1 2

16 y 3x 18x 1 I 17 y x 10x 7 18 y x 6x 1

Subtract the following polynomials Simplify your answer 2x 4x 5 2 4x 5x

8 I want to know if more sophomores or juniors get higher grades on this test I count the number of A s and B s of both groups after the test What kind of study was this

What is the length of x in the following triangle x 6 10 Ox 4 O x 11 x 3 Ox 14 O None of the choices are correct

You put a 1 800 couch on layaway and put down a 14 deposit What was the deposit O 305 O 525 O 232 O 252

A restaurant chain planning to expand its operations surveys people in three cities The survey asks whether they would eat at the restaurant The results given as joint relative frequencies are shown in the two way table Response Location City A City B City C Yes 0 27 0 22 0 22 No 0 09 0 08 0 12 What is the probability that a randomly selected person in City C will not eat at the restaurant Round your answer to the nearest tenth of a percent The probability that a person in City C will not eat at the restaurant is about

8 Hunter took out a 3 500 pay for some business supplies He will repay the loan in 3 years with monthly payments of 109 68 Find the total amount of Hunter s repayment as well as the amount he will pay in interest Total Repayment

hoose the correct answer is the fixed expense in a budget O Fun expense O Rent O Grocery expense

The money you set aside from your income is called O savings O deficits O surplus

2 1 2 4 1 2 1 3 3 4 R ER 407 30 30 O Q R2 R1 R3 2R1 40 TO 0 3 0 3 11 0

Choose the correct answer Periodic expense is O insurance payments O grocery expenses O mortgage payments

Pick the equation that is exponential growth f x 3 0 5 f x 0 5 3

The advantage of a financial plan is O reducing the impact of financial crisis O tracking the expenditure O tracking the income

ALL REAL NUMBERS Option 2 X IN

The factor s that influence s the income of a person is are O formal education and training O the development of the technology O establishments of new companies O All of the choices

You put a 5 500 surround sound system on layaway and put down a 15 deposit What was the deposit O 715 582 O 805 O 825

A drama club surveyed its 7th and 8th grade members to see what type of play they should perform Play preference Musical Comedy 20 25 7th graders 30 8th graders 25 Based on the table which statement is true Of the 7th grade members 60 chose a musical Of those surveyed 50 chose a musical and are in the 8th grade Half the members chose comedy A total of 50 members were surveyed

USING A FORMULA The two way table shows the numbers of tropical cyclones that formed during the hurricane seasons over a 12 year period Type of Tropical Cyclone Tropical depression Tropical storm Hurricane Northern Southern Hemisphere Hemisphere 100 342 Location 379 107 487 525 Find the probability using the formula for conditional probability Express your first answer as a simplified fraction and round your percent answer to the nearest tenth P hurricane Northern Hemisphere

MODELING REAL LIFE The two way table shows the numbers of tropical cyclones that formed during the hurricane seasons over a 12 year period Find each probability Round your answers to the nearest tenth Type of Tropical Cyclone Tropical depression bout Tropical storm Hurricane Northern Southern Hemisphere Hemisphere 100 342 379 a P Hurricane Northern Hemisphere Location 107 487 525

MODELING REAL LIFE At a school 43 of students attend the homecoming football game 48 of students attend the homecoming dance and 23 of students attend the game and the dance a What is the probability that a student who attends the football game also attends the dance Express your first answer as a simplified fraction and round your percent answer to the nearest tenth 0 23 0 43 or about b What is the probability that a student who attends the dance also attends the football game Express your first answer as a simplified fraction and round your percent answer to the nearest tenth

MODELING REAL LIFE At a gas station 84 of customers buy gasoline 9 of customers buy gasoline and a beverage and 5 of customers buy gasoline and a snack a What is the probability that a customer who buys gasoline also buys a beverage Express your first answer as a simplified fraction and round your percent answer to the nearest tenth 84 X or about 10 71 X 1 b What is the probability that a customer who buys gasoline also buys a snack Express your first answer as a simplified fraction and round your percent answer to the nearest tenth or about 5 95 X E

Find the value of f 7 y f x 10 8 6 4 2 10 y 8 6 4 Cl 10 4 6 8 10 2 10 4 6 8 10 X

1 Select the statement that best describes a proportional relationship and the slope of a line O When a proportional relationship is graphed the constant ratio is equal to the slope of the line The constant ratio in a proportional relationship is equal to the reciprocal of the slope of the line The constant ratio in a proportional relationship is double the slope of the line O The constant ratio in a proportional relationship is greater than the slope of the line

Discover Visa Mastercard American Express Which of the following BEST completes the diagram O Major credit card networks O Companies that handle the worldwide processing of credit card transactions O Companies that set the transaction terms for credit card companies

Checking your own credit Pre approvals from credit card companies Applying for a new credit card Automobile loan A B C D E Pre employment check Which of the following shows the items in the list which are soft credit checks O A B C and E OA B and E O None of the choices

74 Use the graph of f x to evaluate f 0 Ay 18 6 4 2 6f 2 6 8 8 X

The graphs for the functions f x and g x are shown below ey 2 What is the approximate solution to the equation f x g x 0 x 3 5 0 x 1 0x 2 6

Find the length of the unknown side of the given triangle The side is m Simplify your answer Type an exact answer using radicals as needed CH 5m

9 8 7 6 5 4 3 2 9 7 6 5 4 3 21 2 234 5 6 7 9 y x 1 2 3 4 5 6 7 8 9 Write an equation for the ellipse graphed in standard form

nsider a political discussion group consisting of 5 Democrats 4 Republicans and 3 Independents Suppose that two group members are randomly selected in succession to attend a political convention Find the probability of selecting an Independent and then a Republican Type an integer or a simplified fraction

Complete the following analogy accounts charge interest whereas O Interest earning Interest bearing Interest bearing interest earning O Compounded Interest Simple Interest accounts pay interest

3 18 Use the binomial formula to find the coefficient of the u z term in the expansion of 3u z

Use y log x as the parent function 7 6 5 4 3 2 1 y 7 6 5 4 3 2 1 1 2 3 4 5 9 7 12 3 Preview 4 5 6 7

What is the quotient of the expression 8m n 5mn 20mn 1 4 mn

Solve for x in the equation 3x y 5x xy

Evaluate the determinant of the matrix A 6w ws W4 w 0 8w 0 0 W3 W3 column to expand along and use the properties of determinants to simplify the process 0 0 0 5w Answer 2 Points 44 46 Minimize the required number of computations by carefully choosing a row or Keypad Keyboard Shortcy