Permutations and Combinations Questions and Answers

Step 3 P x R x C x P x 373x 73x 3900 300x 3900 b What is the profit on 343 items Find P 343 P x 300x 3 900 P 343 300 300 3900 In the equation for P x the profit in dollars is represented by P and the number of items produced and sold is represented by x Therefore to find the profit when 343 items are sold we substitute 343 for in the equation P x 300x 3 900 73x 3 900 into P x R x C x Simplify the result by collecting like terms 73x 3900 3 900 Awesome

3 Find the missing sides of the figure below 45 Z y 17 30 x y Z

45 y N X If x 7 find the following Note write square root as sqrt Example 7 3 would be 7sqrt3 no spaces

Find the mean X of the data 22 34 7 27 25 x Mean

Draw the graph of f z 6 7 6 5 4 3 2 1 Clear All Draw 7 6 54324 Ne 2 3 4 5 6 7 3 7 1 2 3 4 5 6 7

What function is graphed below 48 4 2 14 12 11 10 9 1 6 5 4 J 2 T 2 J d 5 Of x Of x 2 Of x 3 f x 13 Of x 5 1 Of x Of x 42 Of x

2 If f x 4x 5 what is the value of f 3 1 2 2 7 3 17 4 4

Here are the city gas mileages for 13 different midsized cars in 2008 16 15 22 21 24 19 20 20 21 27 18 21 48 What is the median Enter

x y 5x 3y 2 3x 7y 4 Need Help Read It 3 2 Points DETAILS HARMATHAP12 1 5 039 MY NOTES ASK YOUR TEACHER A freight company has shipping orders for two products The first product has a unit volume of 10 cu ft and weighs 50 lb The second product s unit volume is 3 cu ft and it weighs 40 lb If the company s trucks have 2 320 cu ft of space and can carry 21 600 lb how many units of each product can be transported in a single shipment with one truck using the entire volume and weight capacity

to the U A A 23 diagram below Ho 14 23 B 40 many ents are the set A

Spanish 7 33 3 8 35 2 13 Chinese English 4

Question 2 Simplify the quotient Write the answer in standard form a bi 4 3i 4 3i

Perform the subtraction 3x x x 12 3x 2 x x 12 2 X X 2 x 16 16 Simplify your answer

Multiply the following rational expressions 5b 9b 2 b 1 b b 2 5b 4b 1 5b 9b 2 6 1 b b 2 5b 4b 1 Simplify your answer Use integers or fractions for any numbers in the expression

Factor the polynomial 216 r 4n Select the correct choice below and if necessary fill in the answer box to complete your choice OA 216 r 4n Simplify your answer Type your answer in factored form OB The polynomial is prime

up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line Then use your calculator to evaluate the integral correct to five decimal plac x y e y 0 x 3 x 3 a About the x axis X b About y 1

Solve 5y 20y 10 0 Y enter DNE Round your answer to three decimal places If no real solution exis

Solve 4v 16v 53 2v 50 V Express your answer in radical form If there is more than one answer enter all answers separated by commas If no real solution exists enter DNE

Express the graph shown in color using interval notation Also express it as an inequality involving x UP Use interval notation to describe the graph What is the resulting interval Use an inequality involving x to describe the graph What is the resulting inequality Type an inequality 19

Identify the scenano as independant or depandant explain why then find the probability There medical Once cannot what female Study a S are SO people studies 35 are person are female chosen again is chosen for a study group for they for another study the odds the first and not female the person for the second

Which is a composite number 481 71 61 41

A market researcher conducts a survey of residents in three neighborhoods The residents are asked whether they prefer ice cream or gelato The results given as joint relative frequencies are shown in the two way table What is the probability that a randomly selected resident of Arnona will prefer ice cream Round your answer to the nearest tenth of a percent Ice Cream Gelato Frogtown Irondale Arnona 0 31 0 15 0 12 0 16 0 17 0 09

4 i Each section of the spinner shown has the same area Find the probability of the event Express your answer as a simplified fraction 11 10 9 8 12 1 76 2 5 3 4 Dema Kajal The probability of spinning green or a multiple of 4 is

f x x 2 x 30 x 30 pate sp 57 D 4x whale este 18 5 8833 C jebly by writing the quadam

Franklin s new snowmobile cost 12 000 After his down payment of 1 000 he financed the remainder at 10 for 3 years Use the table to find the monthly payment to the amortized loan Find the total interest paid on the loan Click the icon to view a table of monthly payments on a 1 000 loan The monthly payments for this loan are Round to the nearest cent as needed The total interest he paid on this loan is S Round to the nearest cent as needed

What is the perimeter of square BCDE 6 4 D 104 8 6 4 C 2 Perimeter 2 0 2 4 6 8 10 y 2 4 6 units E B 8 1 0

What is the area of ABCD D 1 0 8 6 C Area 4 1 0 8 6 4 2 2 0 2 4 6 8 1 0 y square units 2 4

Level 4 Crane a dow chars and the properties of kites to prove the two triangles congruent

Given the functions defined by f x 3r 2 and g x x 2 calculate the following fog 2 Brovide your answer below

Write the log equation as an exponential equation You do not need to solve for X log42 6 3

4 Solve log 4x log 13 0 Round to the nearest thousandth if necessary 0 019 0 311 52 3 25

Solve for a positive value of x log x 2

Given that 4 2i is a zero factor the following polynomial function completely Use the Conjugate Roots Theorem if applicable f x x 7x 44x 468x 1120 Answer

Suppose your current electricity meter reading for this month is 30 589 kWh and the read Ing on your last month was 29 900 kWh If you are charged 0 0983 kWh what was your electric bill for this month

A survey of 33 students and 42 teachers asks whether spring break should be moved two weeks later in the year The two way table shows the results Use the survey results to make a two way table that shows the conditional relative frequencies based on the row totals Round each value to the nearest thousandth Student 15 18 33 Yes No Total Teacher 28 14 42 Total Student 43 32 75 Yes No

Express the given graph in interval notation

In a survey each woman over the age of 30 reports the number of children she has The histogram shows the probability distribution for the survey Match each probability with the correct value Probability y 0 5 0 4 0 3 0 2 0 1 0 0 11 0 21 0 40 0 1 0 18 0 05 0 02 0 02 0 01 2 3 5 6 7 Number of Children 4 X 78 F

Determine if the two triangles are 120 111 congruent If they are state how you know 121 A

Suppose he wanted to expand his garden so that the area would become a larger rectangle with an area of 48 m 2 If he had 30m of fencing to enclose his garden would he be able to do it with the larger area If so what could the new dimensions of his garden be

Write 1 log log y as a single logarithm with coefficient 1 Note If you are using log you need to type it in and use the subscript button on the keyboard There is no log button

Evaluate log using the change of base formula Round to the nearest hundredth as needed Provide your answer below

Hi I need to find the demand curve for a consumers surplus 1st person 7 dollars 2nd person 9 dollars 3rd person 12 dollars 4th person 14 dollars 5th person 15 dollars Each has one sandwhich Each sandwhich costs 7 dollars Consumer s Surplus is 22 dollars

2 A child builds two wooden train sets The path of one of the trains can be represented by the function y 2cos x where y represents the distance of the train from the child as a function of x minutes The distance from the child to the second train can be represented by the function y 3 cos x What is the number of minutes it will take until the two trains are first equidistant from the child

Sketch a picture of the set of endpoints of all unit vectors in R2 What is the figure What about in R Recall A unit vector is any vector of length 1

Practice Solve each problem In order to study the relationship between the amount of sleep a student gets and his or her number of students who passed and failed an exam and the number of students who got more or less 6 performance a researcher collected data from 120 students The two way frequency table shows the hours of sleep the night before Less than 6 hours of sleep More than 6 hours of sleep Total a Total Failed exam 10 22 98 8 18 120 To the nearest percent what is the probability that a student who failed the exam got less than 6 hours of sleep Passed exam 12 90 b To the nearest percent what is the probability that a student who got less than 6 hours of sleep failed the c To the nearest percent what is the probability that a student got less than 6 hours of sleep and failed the exam

11 Grayson is deciding which meat to get at the grocery store If he buys bacon is 82 If he brings home the bacon there is a 60 chance that his roommate will eat it What is the probability that Grayson buys bacon and his roommate eats it

4 Corey s sock drawer has 9 black socks 10 white 4 green and 2 with pink flamingos He randomly picks three socks assuming that he will get a matched pair but instead turns up with 1 black 1 white and 1 green sock Without putting back the socks he picked he picks another sock randomly What is the probability that he will have a complete pair

Write TRUE if the equations are true Otherwise write FALSE 1 AF TH IF TH 1 2 AFIF TH IA 4 TA TH AF IT 3 5 AE NS 6 A AE RN NS 9 IA IT EL 10 7 5 RN NS 8 AL RS HA HE AE AM AM ME ME HE CG F A A m H Z M E T H

4 45 ependent Practice Homework I Fill in the length of each segment in the following figures 5 5 10 2 40 7 6 45 3 45

If R x 8x 11 find the following Give exact answers Do not round a R 0 b R 2 c R 3 d R 1 6