Permutations and Combinations Questions and Answers

Which combination of red and green apples can the person use 404 V 35 30 25 20 15 10 5 X 5 10 15 20 25 30 35 40 45 50 27 red apples and 17 green apples O 35 red apples and 25 green apples 25 red apples and 35 green apples 40 red apples and 10 green apples 040 red apples and 35 green apples 42 red apples and 22 green apples

Which system of inequalities represents the graph y 6 11x y 3x 4 2x 3y 15 y 11x 6 y 4 3x 2x 3y 15 y 11x 6 y 42 3x 2x 3y 15 y 6 11x y 3x 4 2x 3y 15 4 8 7 6 5 4 321 10 9 8 7 6 5 4 3 2 1 5 6 7 8 9 10 1 X 2 3 4 5 6 7 8 9 10

Solve each inequality 5 8 7 x 3 27 A x 4 or x 7 B x 4 or x 10 C 4 x 7 D 6 x 5 7 7 5 46 4 53 A 3 b 5 B 1 b 3 8 C bs or b24 3 D 5b53 6 6 75 p 4 10 A 4 p 6 B 3 p 7 C p 2 or p26 D p 3 or p 7

0 9 10 4 10 8n 78 A All real numbers B 6 n 5 C ns 6 orn20 D 6 n 0 10 10 8 69x 45 38 A 7 x 1 B xs 4 orx23 49 1 C x 21 orxs 9 D x 7 or x 1 10 57472

2 4 2017 11 10 A C x 3 2 43 10 2 25 6 2 3 28 9 5 2 B D 4 14 9a 14 13 209 A 6 2 C 0 43 24 B 0 D T 18 15 0

Simplify the following expression 4a 5 b 4a 6 3 65 3

Find the quotient 22n4 16n 9 2n 22n4 16n 9

1522 customers at a major retailer were surveyed whether or not they made a purchase and were satisfied with the service they received The table below organizes the responses Satisfied with Service Not Satisfied with Service Total Made a Purchase Did Not Make a Purchase Total 130 715 845 Answer 1 pt 494 183 677 624 898 1522 1 c 2 pts What is the probability that a shopper selected at random was not satisfied with the service given that they made a purchase Write your answer as a fraction

Subtract Simplify by collecting like radical terms if possible assuming that all expressions under radicals represent non negative number 3 40x 3 5x4 3 40x 3 5x

f x 2 7x 3 OA for x 7 for x 27 Choose the correct graph below Q Q OB Q O C Q Q O D

Given that g x a g 8 X 7 x 6 A find each of the following b g 7 c g 6 d g 18 75 OA 9 6 Simplify your answer B g 6 does not exist Oc g 6 is not a real number d Select the correct choice below and if necessary fill in the answer box to complete your choice g 18 75 2 020 Type an integer or decimal rounded to three decimal places as needed O A g x h Simplify your answer B g x h does not exist e g x h OB 9 18 75 does not exist Oc g 18 75 is not a real number e Select the correct choice below and if necessary fill in the answer box to complete your choice

To determine the number of trout in a lake a conservationist catches 156 trout tags them and throws them back into the lake Later 22 trout are caught 11 of them are tagged How many trout would the conservationist expect to be in the lake

Perform the indicated operation Express the answer as a polynomial in standard form Square 6p 5

Find the product x 6 x2 5x 1 2 x 6 x 5x 1 Simplify your ans

Find the product 3p 4 2p 3 Bon

Simplify the expression 3 2 3 29 49 13 0 2 4 2 2 4q 3 Simplify your answer

Simplify the following expression 2b 4b 3 2b 2 4b 3

Find fog x and gof x f x 25 g x 0 04 fog x

Find fog 7 and gof 7 f x 4x 1 g x x 3 fog 7

Simplify the expression 4 3 y 4

Simplify the expression 8y9 2 92

Indicate whether the following statement is true or false ab ab6 Choose the correct answer below O A True because the Product to a Power Rule for Exponents states that abm n True because the bases in the left side expression and the right side expression are the OB O C false because the Product to a Power Rule for Exponents states that abm n OD False because the Product to a Power Rule for Exponents states that a b an b

Simplify the following expression 3 64x 3 5 64x 3 y 5 11 Type an exact answer using radicals as needed

Multiply and simplify Assume that no radicands were formed by raising negative numbers to even powers 4a b 1024a b Choose the correct expression below 4ab4b 4ab4a 4ab4b 4ab4a

59 Angle Measure Find the measure in radians of a central angle of a sector of area 16 in in a circle of radius 3 0 in

Concept Check Find the area of each sector 43 0 6 27

2 20 pts Rate of Change Look at the table below and answer the following questions Time yrs 1 Pop mil 3 7 Time yrs Pop mil 3 8 7 Mean 44 8 2 3 9 8 Increasing 3 6 Decreasing 3 4 1 9 independent 3 4 a Give the mean and median for each of the time frames 4 4 3 10 d What is the range for the dataset 3 2 Median 3 15 5 3 7 classes you are taking this semester what e Is there a trend we can gather from the data 11 3 8 b What would we represent to be the independent and dependent variables give units too 6 dependent 3 1 c From the table give when we increase and decrease use the format we used in class 12 4 2 is your

Consider the function f and its graph given to the right lim X 4 g x b lim X 4 If a limit does not exist state that fact Find a lim g x c g x X 4 a The notation lim g x is used to indicate the limit from the left that is where x a x a g x x 2 7X 2 2 6 2 12 for x 4 for x 24

Find the quotient of 7 8 10 7 8 10 Type an integer or a decimal

Find the product 0 05x0 01 0 05x0 01 Type an integer or a decimal

At a particular restaurant 63 of all customers order an appetizer and 58 of all customers order dessert If 49 of all customers order both an appetizer and dessert what is the probability a randomly selected customer orders an appetizer or dessert or both Write your answer as a decimal not as a percentage 0

local college 91 of the male students are smokers and 609 are non smokers Of the female students 284 are smokers and 426 are non smokers A male dent and a female student from the college are randomly selected for a survey What is the probability that both are non smokers not round your answer E

Ten balls numbered from 1 to 10 are placed in a bag Some are grey and some are white as shown below 345 8 Answer the following questions Write each answer as a fraction A ball will be randomly selected a What is the probability that the selected ball is white 0 b What is the probability that the selected ball is white given that the in loss than 92 00

The Venn diagram below shows the 9 students in Mr Martinez s class The diagram shows the memberships for the Softball Club and the Tennis Club Note that Abdul is outside the circles since he is not a member of either club One student from the class is randomly selected Let A denote the event the student is in the Softball Club Let B denote the event the student is in the Tennis Club a Find the probabilities of the events below Write each answer as a single fraction P A P B P A and B P A or B P P R P A and B Abdul ola X Softball Donna Josh Isabel Eric Charlie Tammy Kaitlin Tennis Michael

a Find f 0 f 0 b Find f 1 f 1 c Find f 3 3 5 8 75 2 10 5 0 5 2 4 powered by desmos

Match the function with the correct range a x x b f x x c f x d f x x e f x x f f x 10 g f x log x h f x Range 1 x Range 2 00 0 U 0 Range 3 0 Range 4 0 Function a Function b Function c Function d Function e Function f Function g Choose 11 Choose Choose Choose Choose Choose G Choose

1 Given the function f x 2x 3 find f 9 Show calculations 2 Given the function g x 2x 1 3 3 Given the functions f x 4x 5 and g x 4x 5 show that the function f x g x is constant for all the value 1 find g 5 Show calculations

Which graph represents the inequality 3y 5x 6 2 2 2 2 1 2 2 X 2 2 2 2 2 2

point s possible Farmer Brown had ducks and cows One day she noticed that the animals had a total of 16 heads and 42 feet How many of the animals were ducks and how many were cows 8 ducks COWS quiz

Determine which of the following numbers are in the domain of the variable a x 5 b x 0 x 5 x 9 a Is 5 in the domain of the variable Yes No c x 9 d x 9

Perform the indicated operations 2x 2xy 3y 4x xy 2y 2 xy 4y 2x 2xy 3y2 4x xy 2y xy 4y Simplify your answer Type your answer in standard form

Perform the indicated operations 8d d 6 3d 2d 8d d 6 3d 2d Type your answer in stand

Evaluate the polynomial 3 x for the given values a x 2 b x a Evaluate 3 x for x 2 5 2 c x 1 5

Subtract the polynomials 6x 9x 4 8x 8x 5 3 6x 9x 4 8x 8x 5 Simplify your answer Type your answer in standard form

7 1 point Brian has 88 in his savings account If he saves 3 50 per week how long will it take him to save 200 in his account 57 weeks 37 weeks 32 weeks 109 weeks 00

Calculate the rate of change for the quadratic function over the given interval f x x 4x 5 1 x 2 4 2 5 1

1 point The New Haven High School cheerleaders got a t shirt gun The cheerleaders stand on the track and shoot the t shirts up in the air The quadratic function that models the height in feet of the t shirt after a certain amount of time in seconds is h t 16t2 64t 4 What is the maximum height the t shirt reaches 4 feet 16 feet 68 feet 100 feet

View Policies Current Attempt in Progress A graph illustrating a corporation s profits indicates a positive average rate of change between 2005 and 2006 another positive rate of change between 2006 and 2007 a zero rate of change between 2007 and 2008 and a negative rate of change between 2008 and 2009 Describe the graph and the company s financial situation over the years 2005 2009 From 2005 to 2006 the graph indicating that From 2006 to 2007 the graph From 2007 to 2008 the graph From 2008 to 2009 the graph eTextbook and Media indicating that indicating that 11 indicating that

Add the polynomials 8b 5b 8 3b 5b 9 8b 5b 8 3b 5b 9 Simplify your answer Type your answer in standard form

Factor out the greatest common fact 8x 4x 8x 4x