Basic Math Questions and Answers

Do the following commands output identical results for all vectors x all refers to the almost infinitely many possible vectors in R x 1 x 2 length x O No O Yes

Find the annual growth rate of the quantity described below Round your answer to two decimal places The annual growth rate is The amount of water used in a community increases by 16 over a 7 year period eTextbook and Media Hint A

Which command will throw a warning O 1 3 2 5 O log c 2 4 5 exp 3 O pi seq 3 9 3 O 5 12 2 1

Suppose there are no objects in the global environment The output of which of the following is not a R vector O 2 0 O pi O C

1 2 3 4 5 6 7 8 Statement A statistical hypothesis is a statement about population parameter The statement X 100 is a statistical hypothesis The statement u 24 is a statistical hypothesis The statement o 4 is a statistical hypothesis The statement sx 12 is a statistical hypothesis We use sample information to decide between competing hypothe Suppose the population average weight of students at the Uni Arizona is 144 lbs A sample of 50 students is taken and samp computed Then the sample average will be exactly 144 lbs Suppose one is interested in testing Ho 100 against H 100 of 64 observations is taken and a sample mean of 102 is computed computed sample mean is different from the hypothesized value can right away reject the null hypothesis

4 points Save Anst Taylor is registering for an algebra class The morning classes are 1st 2nd and 3rd periods and the afternoon classes are 4th 5th and 6th periods Taylor learns that Mr King s classes are filled How does this information affect the probability of Taylor getting an afternoon class 6th Perry King Johnson Wilson 1st X X 2nd X 3rd X X X 2 4th X X 5th X X X X X

2 11 11 0000 4 11 3 11 18 55 8 55 OZO N D 19 QUESTION 10 2 10 547 Ozo Q N D Colns are randomly drawn without replacement Calculate the probability of drawing one quarter and one dime The tree diagram has been started below QUESTION 9 You have an 18 chance of hitting the target at a local camival You get two chances Create a tree diagram to calculate the probabilities Find the probability that you will Hit the target both times Miss the target both times Hit the target once and miss it once Inside a bag there are 3 green bails 2 red balls and 2 yellow balls Two balls are randomly drawn without replacement Calculate the probability of drawing one green ball and one yellow ball The tree diagram has been started

4 points S r basketball team has two coaches Coach Mike and Coach Brian Coach Mike decides the lineup for 60 of the games and Coach Brian decides the lineup for 40 of the time You love playing point guard You play point guard 55 of the time when Coach Mike makes the lineup but you nt guard 35 of the games with Coach Brian Make a probability tree diagram and then determine the probability that you will play point guard with either coach Explain how you determined your answer r the toolbar press ALT F10 PC or ALT FN F10 Mac U S B I Paragraph Arial QS2 EEEE EE XX CP INO v 10pt M Y EVA 2 I M XO XQ ST Ts FREC

10 What will it cost to carpet a rectangular floor measuring 18 feet by 24 feet if the carpet costs 26 50 per square yard

mers preferred only the Caramel Apple Latte 61 customers chose only the Salted Minty Mocha 27 customers chose both flavors but 18 liked neither flavor What is the probability that a randomly selected customer would only like the Caramel Apple Latte QUESTION 20 115 teens were randomly surveyed about their social media usage Twenty two only used Snapchat fourteen only used Instagram and nine only used Twitter Seven teens use Snapchat and Twitter and six used Instagram and Twitter Thirteen students used all three social media platforms while eighteen of the students surveyed did not use any of these social media platforms Draw a venn diagram and show how many teens in the survey use both Snapchat and Instagram but not Twitter QUESTION 21 In a recent survey of 705 teens 300 said they have a sister and 383 teens have a brother One third of those teens with a sister also have a brother What is the probability that a teen has a sister or brother What is the probability that a teen has a sister or no siblings the probability that a teen has a brother or no siblings

A spinner has four sections each with different point values and areas The 1 point section is 1 3 of the area of the spinner The 2 point section is 1 4 of the area of the spinner The 3 point section is 1 12 of the area of the spinner The Lose A Turn section 0 points is 1 3 of the area of the spinner Outcome value 1 pt 1 Probability 1 3 Complete the table to find the expected value of any one spin 2 67 1 42 1 08 0 042

Refer to the table below Find the missing probability and then find the expected value Outcome value 1 2 Probability 0 4 0 19 OP 0 33 E 1 47 P 0 33 E 0 67 OP 0 14 E 1 47 OP 0 14 E 0 67 QUESTION 6 1 0 27 3 P Whitney wants to practice shooting for basketball Her mom will give her 20 if she makes 3 free throws in a row 10 for 2 free throws and 5 for 1 free throw Whitney will pay her mom 10 for no free throws She normally the time What is the probability that she makes all 3 free throws What is the probability that she only makes 2 free throws What is the probability that she only makes 1 free throw pho doesn t make any free throws

McKenna is registering for history class The morning classes are 1st 2nd and 3rd periods and the afternoon classes are 4th 5th and 6th periods Below is a table of teachers and the periods they teach the history class If McKenna requests an afternoon class what is the probability that she is assigned Mrs Wilson 1st 4th 6th Perry King Johnson Wilson 2 15 X X X 2nd X X X 3rd X X X X 5th X X X X X

The Venn Diagram below shows the sport 64 surveyed teens want to try for fun Find the probability that a randomly chosen teen would play tennis or lacrosse What sport do you want to try 00 27 64 45 64 49 64 54 64 Hockey 15 6 7 4 Lacrosse 18 5 Tennis 9

72 7 72 3 7 7 3 72 2 6 7 72 7 7 7 72 7 72 72 2 7 7 72 72 72 72 2 7 3 7 6 7 SARICARICA

10 points ward is registering for a typing class Below is a table of teachers and the periods they teach the typing class What is the probability that Edward is assigned a class with Mrs Powell If a new teacher is added for 1st 2nd and 3rd period how does this ward s chance of having a class with Mrs Powell 2nd Cook Morgan Bell Dawoll 1st X X X X X 3rd X X 4th X X

A local business plans to invest 800 to host a fun run and they expect to sell tickets worth 9 000 on the day of the event If it rains they won t sell any tickets and the business will lose all the invested money The weather forecast for the day of the fun run is a 35 chance of rain Is this a good investment Gain 8 200 Invest 800 0 35 0 65 Outcome Probability 5 050 good investment 5 050 bad investment 5610 good investment 5 610 bad investment

Will pays 5 to play a game at an amusement park He has a 25 chance of winning a 15 basketball If he misses he receives nothing Outcome value Lose Win 0 25 Probability a What is the probability that he will miss lose b Find the expected value of the game

In an auditorium with 500 people one person will be chosen to win a 100 gift card The rest of the people will receive a 0 25 key chain What is the probability that you will be chosen to win the gift card What is the probability that you will receive a key chain Find the expected value QUESTION 2 A spinner has four sections each with different point values and areas The Move Ahead 1 Space section is 1 3 of the area of the spinner The Move Ahead 2 Spaces section is 1 5 of the area of the spinner The Move Ahead 3 Spaces section is 1 6 of the area of the spinner The Go Back 2 Spaces section is 3 10 of the area of the spinner Outcome value Move Ahead 1 1 Probability 1 3 Find the expected value of any one spin 3 2 13 1833

4th 5th and 6th McKenna is registering for history class The morning classes are 1st 2nd and 3rd periods and the afternoon classes are history class If McKenna requests an afternoon class what is the probability that she is assigned Mrs Wilson 1st 4th 6th Perry King Johnson Wilson 2 000 DIN 515 0 X XXX X X 2nd X X X 3rd X X X X 5th X X X X X periods Below is a table of teachers and the periods they teach the

A in each class and she is taking 4 classes will get 50 If she gets 3 A s she gets 25 If she does worse than that she gets nothing She has a 70 chance of getting an Draw a tree diagram representing her possibilities for her final grades Hint Use A or Not A for your branches What is the probability she gets all A s What is the probability she gets 3 A s What is the expected value for how much money she expects to get each semester QUESTION 10 Jodi gets 15 a week for allowance She also loves to play basketball Jodi wants to convince her father to try something new with her allowance based on her basket shooting talent hoping that it will increase what she receives Jodi suggests that instead of getting 15 she attempts shooting baskets each week for her allowance Create a tree diagram to help solve the problems If she misses the first basket she gets only 5 If she makes the first basket she gets 15 and a chance to make another basket for an additional 5 Jodi can make a basket 60 of the time To help Jodi s father decide whether to use the new allowance plan find the probability of Jodi making 0 baskets 1 basket and 2 baskets How much allowance should Jodi expect to receive in a year P 0 P 1 P 2

10 points Save A Coach Williams has three players for the striker position for his soccer team He chooses Alex A 50 of the time while he chooses Bart B and Carlos C 25 of the time each When Alex is playing he scores 70 of the time Bart scores 25 of the times ar Carlos scores 25 of the time Make a probability tree diagram and then determine the probability that the coach chooses Alex but Alex does not score in the game Explain how you determined your answer For the toolbar press ALT F10 PC or ALT FN F10 Mac B U Paragraph Arial V 10pt V EM EVA 2 T Y GA C

Choose all that apply Nature of Science Interpreting Bivariate Qu Data 6 What are the problems with this graph and The range of x values is too small 8 10 ru The R2 value is very low

De Select one De 81 Nature of Science Interpreting Bivariate Data 3 What kind of function could give a better fit for the given data points De A function in the form of y mx b The coefficient m is positive O A function in the form of y mx b The coefficient m is negative Question O A function in the form of y ax bx c The coefficient a is positive A function in the form of y ax bx c The coefficient a is negative a 10 Image courtesy of PhE O

Select one De De Nature of Science Interpreting Bivariate Data 2 Which of the following functions represents the graph 61 2 y x 1 5x 1 2 y x x 1 2 y x 3x y 2 5 5 Question Image courtesy of PhET

Nature of Science Interpreting Bivariate Data 1 This graph shows the positions of two cars over time Which of the following statements can be determined from the graph Select one Car 2 s distance from the origin point Question

Liam is registering for a PE class Below is a table of teachers and the periods they teach the PE class What is the probability that Liam is assigned a class with Mr Morgan If a new teacher is added for 1 and 2nd period how does this affect Liam s chance of having a class with Mr Morgan Cook Morgan Bell 1st X X S 2nd X X Y 3rd X X Y 4th X X

There is a football game on Friday evening If it is raining 5000 people are expected to attend If it is not raining 18000 people are expected The weather forecast is for 19 chance of rain on Friday What expected attendance at the game 147130 15120 15530 17000

Chris is playing a new video game To get to the next level he must successfully pass through two doors The chance that Door 1 is open is 0 31 The chance that Door 2 is open is 0 42 The probability that b doors are open is 0 14 Create a Venn Diagram and determine the probability that Both doors are open Only Door 1 is open Only Door 2 is open Neither door is open

Victoria is playing a new video game To get to the next level she must capture the flag and then choose the correct escape route The chance that she captures the flag is 60 The chance that she chooses the correct escape route is 30 The probability that she does both is 15 Create a Venn Diagram and determine the probability that She captures the flag and chooses the correct route She only captures the flag She only chooses the correct escape route She doesn t complete either task

An airline is considering adding a route to the city of Shreveport Louisiana Market research predicts that if the airline serves Shreveport there is a 42 probability of making a 700 000 profit a 22 chance of breaking even and a 36 probability of losing 1 000 000 What is the expected value of adding a route to Shreveport O loss of 66 000 O gain of 66 000 Oloss of 30 340 O gain of 30 340 QUESTION 6 There is a football game on Friday evening If it is raining 5000 people are expected to attend If it is not raining 18000 people are expected The weather forecast is for 19 chance of rain on Friday What is the expected attendance at the game 147130 15120 15530 017000

A local club plans to invest 10 000 to host a baseball game They expect to sell tickets worth 15 000 But if it rains on the day of the game they won t sell any tickets and the club will lose all the money invested If the weather forecast for the day of game is 20 possibility of rain is this a good investment Explain Outcome Loss 10 000 Probability Gain 5000 Tickets 15 000 Investment 10 000 0 80 2000 bad investment 2000 good investment O 5000 good investment O 5000 bad investment QUESTION 4 0 20 A landscaper mows 25 lawns per day on sunny days 15 lawns per day on cloudy days and no lawns if it rains If the weather is sunny 65 of the time cloudy 30 of the time and rains 5 of the time find the expected number of lawns that the landscaper mows per day 23 lawns 17 lawns 19 lawns

10 points Sav Suzanne has injured her leg and may not be able to play in the next lacrosse game If she can play the coach estimates that the team will score 8 points If she is not able to play the coach estimates that the team will score 4 points The doctor states there is a chance that she will be able to play and a 60 chance that she will not be able to play Determine the expected number of points that the team will score For the toolbar press ALT F10 PC or ALT FN F10 Mac

Refer to the table to find the missing probability and then find the expected value Outcome value 0 1 2 X Probability P OP 0 6 E 1 3 OP 0 4 E 1 OP 0 4 E 1 3 OP 0 6 E 1 X 1 5 QUESTION 2 Refer to the table to find the missing probability and then find the expected value Outcome value Probability P 8 9 0 3 P 0 8 E 29 OP 0 8 E 3 7 OP 01 F 29 0 5 0 3 P 0 2 0 1 P 3 0 1

McKenna is registering for a history class The morning classes are 1st 2nd and 3rd periods and the afternoon classes are 4th 5th and 6th periods McKenna learned that Mrs Wilson s classes are filled How does this information affect the probability of McKenr getting an afternoon class 10 points 1st 4th 6th Perry King Johnson Wilson X X X 2nd X X X 3rd X X X X 5th X X X X X Save Answ

Brody is registering for a physics class The morning classes are 1st 2nd 1st 2nd and 3rd periods and the afternoon classes are 4th 5th and 6th periods Below is a table of teachers and the periods they teach the math class What is the probability that Brody will be assigned a 2nd block or 3rd block class Williams Brown Davis Miller O O O EH LIM 500 5 16 8 1st X X X 2nd X X X 3rd X X 4th X X X 5th X X X 6th X X

Determine whether each number is a factor of 96 ST 5 Is a Factor 12 3 24 48 Is Not a F

omepage Sp23 3 Points x y W Assignment 12 Find the intersection points of the pair of ellipses 4x y2 14x 9y2 x y DETAILS 4 36 smaller y value larger y value Z Launch Meeting Sketch the graphs of the pair of equations on the same coordinate axes 2 4 Homepage M Speech 5 y

0 1 Points Find an equation for the ellipse whose graph is shown X y 10 8 6

Read t ETAILS 61 or the ellipse that satisfies the given condi hajor axis 12 length of minor axis 8 fo

M Homepage Sp23 13 8 Points DETAILS Find the vertices foci and eccentricity of the ellipse x 9y 81 vertex vertex focus focus eccentricity x y x y x y x y Sketch the graph Determine the lengths of the major and minor axes length of the major axis length of the minor axis 10 8 6 4 42 10 8 N N 8 10 y W Assignment 12 10 8 smaller x value larger x value smaller x value larger x value 8 10 6 4 x 10 8 Z Launch Meeting y 10 4 2 8 6 4 2 4 6 8 10 y 10 8 6 2 4 8 10 X Homepage M Speech 5

on for the ellipse whose graph is shown y 0 8 6 16 X

marks w Window Help Z Launch Meeting Homepage N ic M Speech 5 Subr 5F

iepage Sp23 1 Points DETAILS W Assignment 12 Match the equation with the graph y x 5 4 3 2 1 y st 4 3 2 1 1 2 3 4 5t y 5 Z Launch Meeting X 1 2 3 4 5 5 4 3 2 1 O Homepage N ical C M Speech 5 Submit y 5 4 3 2 1 1 2 3 4 5 y 5 4 1 2 3 4

One of the most important aspects of civic participation is understanding what is happening in government today For this task you will research an issue that is important to you and write a letter to your congressional representatives What do you think needs to be changed about the world How should we go about making that change Answer each question in complete sentences 1 The issue you think needs to be addressed 2 What about this issue needs to be changed 3 What representative are you writing to Find your representatives here https www commoncause org find your representative 4 Write your letter to your elected official here Your response should be between 4 and 7 sentences Be sure to answer each question in your response

What is the greatest common factor of 15 and 30 me GCF of 15 and 30 is

Find the volume and surface area of the equilateral triangular based pyramid Given the height of the pyramid 9cm SA 211 5 SA 170 4 OV 187 2 SA 173 1 V 1039 6 cm 12 cm

Find the volume and the surface area of the isosceles triangle based pyramid The slant height is 33 OV 1115 7 V 1238 2 SA 1249 7 SA 1009 3 23 cm 19cm 17cm

Find the volume and surface area of equilateral based triangular pyramid whose side length is 16 meters the height of the pyramid is 33meters and the slant height is 26 meters V 1154 7 SA 852 9 V 1223 2 SA 735 2 SA 753 4

10 marks Prove using the Principle of Mathematical Induction 1 k k 1 k 1 V N n H n n 1