Permutations and Combinations Questions and Answers

15 The mean pitch speed by a group of baseball pitchers is 91 mph If a certain pitcher in this group had a z score of 1 25 with a pitch of 85 mph what is the standard deviation Gina Wilson All Things Algebra 2015 0 0

4 An arena has 49 000 seats Seats sell for 25 on the ground level 20 in mid level and 15 in upper level The number of seats on the ground level is equal to the total number of seats in the mid level and upper level combined Suppose the arena brings in 1 052 000 from a sold out event How many seats does each level hold A Define the variables Let B Create the 3 equations Let Let

1 point Rework problem 12 from section 2 4 of your text involving the construction of a number from a set of digits Assume that digits are selected at random from the set 1 3 4 6 7 9 and are arranged in random order What is the probability that the resulting 4 digit number is less than 9000 H

Small Things store has a special for pencils and pens The special has pens for 2 and pencils for 1 You want to buy three times as many pens as pencils If you can spend 35 how many of each will you O 5 pencils and 10 pens 5 pencils and 15 pens None of these choices are correct 10 pencils and 5 pens 15 pencils and 5 pens

Question 49 The sum of two numbers is 16 If one number is three times another number what is the larger number O 10 06 Points 2 O 12

Find the x and y intercepts of the inequality 4x 6y 24 O 6 and 4 O 4 and 6 O 4 and 6

26 Henley has thought about buying a new car budget Henley would use the 10 she is putting but her car payment would require 10 of her in savings for her car payment Would you advise Henley to buy the new car If not explain other options Henley could consider

12 The mean weight of a group of dogs in a dog show is 38 pounds If a certain dog in the show has a z score of 0 how much does it weigh

Find the y intercept of the line 2y 12x 8 04 0 6 O 4

The table below shows the number of miles traveled by a car and the amount of gas it used What is the linear relationship between the amount of gas used g and the number of miles traveled m Gallons Miles 0 1 2 3 4 0 25 50 75 100 Om 25g g 25 m

Evaluate 15 C10

Solve the equation Select a single answer 7 7 w 7 3w 8 0

Level 4 Sam drew quadrilateral MATH shown at the right Sam then drew a diagonal AH and noticed it created two triangles and told Taylor Look I created congruent triangles Taylor doesn t think the triangles are congruent use a flow chart proof to prove Sam is correct 2 2 A M 4 2 Mah com 4 2 T H 2 2

Which of the following is true Mathematical relationship Correlation Physical relationship Causation Mathematical relationship Causation Physical relationship Causation O Mathematical relationship Correlation Physical relationship Correlation

Find the number of possibilities in each scenario 13 There are 15 applicants for four Computer Programmer positions A 455 C 1 365 B 32 760 D 5 460 14 A team of 17 lacrosse players need choose a captain and co captain A 157 C 544 B 270 D 272

Rewrite the polar equation r 6 cos 0 17 6 cos 8 as a Cartesian equation

Directions Answer each question to the best of your ability Show your work No poi answers only You can use your calculator and pen pencil 1 The following table lists the probability distribution of the number of blood pressure monitors sold per day in a local pharmacy X 0 P x 0 1 1 0 4 2 X 3 a Find the value of the missing probability 0 2 b Find the probability P x 1 to the nearest tenth c Calculate the mean variance and standard deviation of this probability distribution P x x P x x P x

1 point The table below lists the height h in cm the age a in years the gender g 0 Female 1 Male and the weight w in kg of some college students Height Age Gender Weight 19 19 20 22 21 We wish to fit a linear function of the form J 166 176 162 155 184 w h a g 0 1 0 0 1 w co c h c a c39 which predicts the weight from the rest of the data Find the best approximation of this function using least squares 55 73 53 45 79

Use Mathematical Induction to prove the sum of Arithmetic Sequences n a j 1 d 2 n 2 j 1 2a n 1 d Hint First write down what P 1 says and then prove it Then write down what P k 1 says and prove that using the fact that P k is true P 1 says a j 1 d j 1 k 1 P k 1 says a j 1 d j 1 Write your proof on paper and upload a photo of it

Question 9 What are the lower and upper limits of the correlation coefficient r O 1 and 1 O 0 and 1 O 0 and 1

If f x r 6x 8 22 15 54 Select the correct answer below O f g x O fog x O f g x O f g x O f g x O f g x x 4 x 9 and g x 29 find f g x and any domain restrictions for f g x x 6 x 2 x 4 9 x x x where 6 9 2 4 9 where 6 9 2 x 4 x 9 x 4 x 9 where x6 9 2 x 4 x 9 where x 6 9 2 where x6 9 2 where x 6 9 2

Find the probability of drawing a heart from a standard deck of cards and then drawing a 5 of any suit after the first card is replaced in the deck Write the probability as a fraction in simplest form

Your rats are to be fed a special die How much protein will be present in 500 g of rat chow What is the ratio of protein to non protein in the diet W Will QUESTION 8 When you want to quickly measure a person s pulse rate you don t usually count the number of pulses in a full minute You count the number of pulses 10 or 30 seconds You can do this because you know that if you set up a proper ratio you can quickly and easily calculate the pulse rate in pulses per Measure your pulse rate by counting the number of pulses in 10 seconds use your left index finger applied to the radial artery of your right wrist Pulses 10 sec

The points scored in a series of basketball games are listed below 9 7 20 12 13 14 15 18 10 15 Identify the mode 12 O 15 13

Find the mean median and mode for the following data Name Robin Clark Britney Hilton Jessica Points 15 8 13 11 16 Mean 12 Median 13 5 Mode 15 O Mean 13 Median 12 6 No mode O Mean 12 6 Median 13 No mode

Find the mean of the following data 17 12 11 13 22 47 O 11 33 O 30 52 O 20 33

Find the area of the rectilinear figure shown below O 19 sq units O 15 sq units O 17 sq units

What is the formula to find the surface area of a square pyramid with a side length of s units and a slant height of units O4s s square units Os 2s square units 4s square units

Find the surface area of the figure shown below 45 in 3375 cu In the 6450 sq in O3225 sq in 30 in 25 in

Precalculus In how many ways can a hand of 4 cards have 3 red cards and 3 face cards

Evaluate the following 1 lim Sin 4 5kn as 3 n NB n N

Let a be the coefficient of 3 in the expansion of a 2 2 2 13 Then a type your answer 2 7 7

12 ft 8 ft 5 ft 10 ft Volume Calculate the volume of the composite

A commercial building contractor will commit her company to one of three projects depending on her analysis of potential profits or losses as shown here Project A Project B Profit or Loss Probability Profit or Loss Probability P x x P x 0 14 50 0 28 0 60 220 000 0 26 280 000 Determine which project the contractor should choose according to expected values x 40 000 150 000 240 000 Choose the correct answer below O Project A Project C Project B 0 31 0 41 Project C Profit or Loss Probability X P x 0 73 0 27 50 000 350 000 Germ

How can you tell whether a counting problem is a permutation or a combination problem Give examples to support your answer

Find the perimeter of the shaded region 7 cm 14 cm O 20 cm O 50 cm O 42 cm 3 cm

The diagram shows a triangle a 24 What is the value of a a O a 5 39 MEE ME TENSIVERFLE ANATZE WAT GE N 22 SAZNA P RAMBLE PORQUE B MILO

Identify the period for the function y tan TU

Simplify 24 144 12 The result is without using a calculator

Day 9 SB SOL All 10 12 Exit Ticket Name A committee of 5 teachers and a students is to be formed to judge science projects If there are 9 teachers and 5 students to choose from how many different committees could be formed 2 In how many different ways can the letters of the word MATHEMATICS be arranged such that the vowels must always come together B 120960 A 9800 C 100020 Class D 140020 3 A car s stopping distance varies directly with speed it travels and inversely with the friction value of the road surface A car takes 60 feet to stop at 32 mph on a read schose friction value is 4 It took Liam 30 feet to stop at 25 mph on Mercury Blvd What is the friction value of Mercury Blvd 2 In which of the following is z directly proportional to x and inversely proportional to the square of y B And D 2 42

Rat weights are normally distributed with u 6 lbs and o 0 45 lbs Draw a picture and answer the following questions Find the percentage of rats that are less than 6 lbs 50 Find the percentage of rats that are less than 6 9 lbs Find the percentage of rats that fall between 5 1 and 6 9 lbs Find the percentage of rats that are heavier than 6 45 lbs Find the percentage of rats that are heavier than 5 1 lbs

Find P AB BP AB 180 35 8PB 0 50

Solve the equation 3 4x 3 4 6x 1 43

Use Cramer s rule to solve the system Answer 13x 4y 84 6x 5y 73 If there is a solution write your answer in the format x y Selecting an option will display any text boxes needed to complete your answer O No Solution O One Solution O Infinitely Many Solutions Keyp Keyboard Short

Suppose that an obstetrician wants to know whether the proportion of children born on each day of the week is the same He randomly selects 500 birth records The obstetrician conducts a goodness of fit test in which the hypothesi tested is that the day on which a child is born occurs with equal frequency at the level of significance of 1 Given the data shown in the table what is the value of the chi square statistic 09 24 09 42 04 92 02 49 Day of Week Frequency Sunday 72 Monday Tuesday Wednesday 80 Thursday 75 Friday Saturday 64 52 74 83

To represent the population of the entire population we use the symbol p True False

Figure A is composed of two shapes A rectangle with length 9 inches and width 2 inches A square with side lengths 3 inches Enter the total area in square inches of Figure A 3 in 9 in 3 in 2 in

26 Find cos s t if sins 5 and cost where s n and t 13 3 t 2

Insert parentheses in the correct places to get the right answe 18 6 5 14 7 9

You pick a card at random Without putting the first card back you pick a second card at random 2345 6789 What is the probability of picking a prime number and then picking a prime number Write your answer as a percentage rounded to the nearest tenth