Permutations and Combinations Questions and Answers

Question w much of a n 70 orange ju at is 50 orange juice

y k Combined Variation y Mixes direct and indirect variation

3 The accuracy of polygraph tests has been questioned for many years Some studies put the accuracy at 80 Estimates have most people lying 15 of the time Given this information what is the probability that someone is telling the truth but the polygraph says the person is lying a false positive

son lesson certify implifying Integer Exponer

1 point Let f x 15 and g x 8x 7 Find f g x Note that this function is refered to as the product of functions f and g and is denoted as f g x f g x 257

L 14 2 3 Quiz Fitting Linear Models to Data Candlelight Books kept a record of how its sales increased based on discounts it offered The scatterplot shows the results Based on the line of best fit which of the following statements is true Sales Increase 100 80 60 40 20 20 62 10 32 10 20 30 40 50 Discount OA When the discount is 0 the sales increase is 10 OB As the discount increases by 1 the sales increase by 3 OC As the discount increases by 10 the sales increase by 32

Adult tickets to the fall play cost 6 and student tickets cost 3 The drama class sold 25 more student tickets than adult ti to the fall play If the class collected 660 from ticket sales how many student tickets were sold The drama class sold student tickets

2 Evaluate the following limits if they exist c lim 3x 5x 6 3x 3x 2 X

5 Carlos and Stephanie s points on the FIRST project are in a ratio of 4 7 Carlos earned 26 points How many did Stephanie earn Type a response

7 Carlos and Stephanie s points on the SECOND project are in a ratio of 3 4 Stephanie earned 28 points How many did Carlos earn Type a response

Marked out of 1 00 P Flag question ental car company purchases an automobile for 19 100 00 The automobile requires an average cost of 6 60 per day in maintenance Find near function that expresses the total cost C of owning the automobile after t days

Given the integral below do the following S 8 cos x dx Exercise a Find the approximations T4 and M4 for the given interval Click here to begin Exercise b Estimate the errors in the approximations of part a Click here to begin Exercise c How largo do wo have to choocon co th the approximations M and I to the integral are accuratot within 0 00012

The unit circle has a radius of and a center at

3 Find the slope of the line that passes through 2 7 and 5 7 2 points

What is the degree measure of the angle A 15 2 Select one O a 135 O b 90 O C 1350 O d 1350

Suppose the question Do you plan to purchase a snack while sitting around and doing nothing during the diving competition was asked at the competition Do you think the results would be biased Why or why not

Sketch a graph of a continuous function meaning that it s one connected line with no breaks jumps that has the following conditions absolute minimum of 2 when x 5 local not absolute max of 4 when x 1 local not absolute min of 0 when x 3

Question 2 25 pts Prove that Va b Z where p is a prime number a b a b mod p

Sin 26 a 2 sin 0 b 2 cos 8 c 2 sin 0 cos e d sin 0 cos 0 e cos 0 sin 8

Details Suppose the length of a rectangle is 7 more than 4 times the width Find P w which gives the perimeter of a rectangle as a function of its width

4 x 3y 6 3x 4y 8

Dividing Mr Xi s class into groups of 3 or 4 will result only in a total of 8 groups or 9 groups Dividing the class into groups of 3 or 5 will result only in a total of 7 groups or 9 groups Dividing the class into groups of 5 or 6 will result in a total of how many groups

If we are told that AB 0 then what can we infer By the zero product property we know 0 OR 0

If we are told that x 1 x 7 0 then what can we infer By the zero product property we know C 0 And therefore we know that X 0 OR OR X

et f x X 2 a Find the derivative f of f f x y 1 x 2 b Find an equation of the tangent line to the curve at the point 4 1 1

The tables for f x and g x are shown below X 5 2 1 5 X 5 2 1 5 f x 11 1 13 29 18 g x 7 1 5 13 What is the value of f g 5

Evaluate x y 11 X Y 7 when x is 48 more than 4 times y and y 5

Problem 17 Write the equation with rectangular coordinates 2 4sin 20

Determine the volume and the surface area of the three dimensional figure Use the key on your calculator a The volume is Simplify your answer Type an integer or a decimal rounded to the nearest hundredth as needed C 4 cm 15 cm

Solve the equation x 7 3x 4x 16 8

Factor the given expression following the example 2 2 2 2 2 2 2 1 2 7 32 7 10 I

those of the parent function for 13 g x 3 2 x 1 2

Let S 1 2 3 18 19 20 Let sets A and B be subsets of S where Set A 1 5 6 7 8 11 12 13 16 17 18 19 20 Set B 1 3 4 6 9 11 14 17 20 be the universal set LIST the elements in Set A and Set B LIST the elements in Set A or Set B Enter the elements as a list separated by commas If the result is the empty set enter

Line 1 is given by y 10 NOTE Enter the exact answers 5 and point P has coordinates 30 11 6x a Find the equation of the line parallel to Line 1 that passes through point P b Find the equation of the line perpendicular to Line 1 that passes through point P

Approximate to three decimal places using a scientific calculator sin53 45

The function f x 3x 2x 3 has a 0 b 1 Oc 2 x intercepts

Consider the function Step 2 of 2 Find the value of f a Answer f a f x 2x 4x 6

Simplify the alternating sum using the Binomial Theorem n 0 n 1 3 n 2 9 n 3 27 cdots 1 n n n 3 n A store sells 4 different kinds of T shirts of your size a In how many different ways can you buy ten T shirts b How many different combinations of ten T shirts will have at least one of each kind

Write a block version of the inner product form of cholesky s method

At a state fair there is a game where you throw a ball at a pyramid of cans If you knock over all of the cans you win a prize The cost is 3 thrown for 1 but if you have an armband you get 6 throws for 1 The armband costs 10 Write two cost equations for the game in terms of the number of throws purchased one without an armband and one with Graph the two cost equations on the same graph Be sure to label the axes and show an appropriate scale x Clear 20 15 Undo Redo

For a game a spinner with three equal sections labeled 1 to 3 is spun three tim Based on the outcome of the first spin what are all the possible outcomes of of winning based on the outcome of the first spin Move possible outcomes and a probability to the spaces to complete the tab Outcome of First Spin 1 2 Possible Outcomes of Second and Third S

Click on all the questions that are statistical que A What is the weight of each basketball B Why are there no roofs made of paper C At what time did the moon rise tonight D How strong is the rope that you are ho E How many pictures are in each of the

Researchers asked residents of a city about where they lived Dog No Dog Total 17 21 38 28 House Apartment 4 Total 21 24 45 66 The researchers concluded there was a positive associatio

Aaron plays on a baseball team and the probability The probability that Betty s team wins their next g

an of 19 Fast Food Drive Thru Accuracy If three different orders are selected find the probability that they are all from Wendy s 20 Fast Food Drive Thru Accuracy If three different orders are selected find the probability that they are all not accurate

A person was modeling a growing population with a growth factor of 1 5 using pennies They started with 4 pennies and flipped all 4 pennies For every penny that landed heads up another penny was added to the pile Then the new pile of pennies are all flipped and again for each one landing on heads another penny was added The process is repeated several more times Which of the below would the most reasonable number of pennies to be expected to be in the pile after pennies were added just after the 5th flip 6 pennies 14 pennies

A cow is tethered by a 100 ft rope to the inside comer of an L shaped building as shown in the figure Find the sees that the cow can po 10 your answer to the nearest whole number

The probability that a fair die falls on 6 is 1 6 However if that fair die is one of two dice and you know that the sum of the two dice is 12 ther the probability that the fair die fell on 6 is Use a decimal number such as 1 123

Which geometric series converges 1 O 81 27 9 3 11 0 1 2 3 3 co O 7 4 1 7 1 2 1

Find the x and y intercepts of the graph of the function f x 2 x 7 2 Enter your answers as points a b Enter the x intercepts in order of increasing z value If there are no x intercepts enter NA in both answer areas