College Geometry Questions

Graph one complete cycle for each of the following In each case label the axes so that the amplitude and period are easy to read 13 y 4 sin 2x 14 y 2 sin 4x

Suppose a manufacturer knows from previous data that 1 5 of one type of lightbulb are defective The quality control inspector randomly selects bulbs until a defective one is found Is this a binomial experiment Why or why not OA No because the trials are not independent OB Yes because the situation satisfies all four conditions for a binomial experiment O C No because each trial cannot be classified as a success or failure OD No because the number of trials is not fixed

According to the table below what is the probability random will be 16 or older Age 13 14 15 16 17 18 Probability 0 01 0 28 0 30 0 25 0 15 0 01 A 0 41 OB 0 44 OC 0 46 D 0 83

According to the table below what is the probability that the grade of a student chosen at random will be a B or higher O A 47 O B 7 217 D 3 O C 17 1 7 A Grade Probability 6 B C D F 4 12 9 4 35 35 35 35 35

A school knows that 11 of its students are left handed What is the probability that there will be between 33 and 45 left handed students in a randomly selected group of 400 Use your calculator and this formula Plas x b binomcdf n p b binomcdf n p a 1 Round your answer to three decimal places OA 0 602 OB 0 043 OC 0 029 OD 0 573

The circle is centered on point P Points T U and V lie on the circumference LTVU measures 37 Find the measure of TPU T 37 P

What is C O A 66 OB 55 OC 36 D 45

Anthony surveys a group of students at his school about whether they play a sport This table shows the results broken down by gender Boys Girls Total Play a sport 114 63 177 Do not play a sport 61 67 128 Total 175 150 325 Are being a girl and playing a sport independent events Why or why not OA Yes they are independent because P girl 0 46 and P girl plays a sport 0 54 OB No they are not independent because P girl 0 46 and P girl plays a sport 0 54 OC Yes they are independent because P girl 0 46 and P girl plays a sport 0 36 D No they are not independent because P girl 0 46 and P girl plays a sport 0 36

In a randomly generated list of numbers from 0 to 4 the chance that each number can occur is O A True B False

lan often takes his dog to the park He estimates that 30 of the other dogs he sees are retrievers 20 are terriers and 20 are German shepherds He designs a simulation Let 0 1 and 2 represent retrievers Let 3 and 4 represent terriers Let 5 and 6 represent German shepherds Let 7 8 and 9 represent other dogs The table shows the simulation results 01611 49003 63777 91971 26343 49116 OA 0 60 OB 0 75 OC 0 70 71890 58647 87208 98444 01595 39440 58889 34845 90500 28893 58822 67970 43938 51995 According to this simulation what is the probability that at least one of the next five dogs he sees is a retriever

The following set of random numbers represents 20 simulations of three daily flights from New York to Los Angeles with 0 1 2 or 3 representing a late departure and 4 5 6 7 8 or 9 representing an on time departure In how many of the simulations was there an on time departure for all three flights 339 931 317 444 432 858 194 192 639 709 742 626 702 258 955 880 505 804 774 132 OA 4 O O C 6 OD 5 B 3

This table shows how many sophomores and juniors attended two school events Sophomore Junior Total OA 0 56 OB 0 31 C 0 26 Jazz band concert 35 D 0 48 36 71 Volleyball game 42 24 66 Total 77 60 What is the probability that a randomly chosen person from this group is a sophomore and attended the volleyball game Round your answer to two decimal places 137

Suppose the following set of random numbers is being used to simulate the event of a basketball player making two free throws in a row How should the numbers be rearranged 502666 346453 524366 387026 704473 775061 350054 771009 621563 762199 OA 5026 6634 6453 5243 6638 7026 7044 7377 5061 3500 5477 1009 6215 6376 2199 OB 50266 63464 53524 36638 70267 04473 77506 13500 54771 00962 15637 62199 C 502 666 346 453 524 366 387 026 704 473 775 061 350 054 771 009 621 563 762 199 OD 50 26 66 34 64 53 52 43 66 38 70 26 70 44 73 77 50 61 35 00 54 77 10 09 62 15 63 76 21 99

Two friends Andrew and Liz are playing a game using this spinner If the spinner lands on region 1 Andrew wins If it lands on region 2 Liz wins If it lands on region 3 nobody wins Is this a fair game A Yes Each of the friends has a probability of winning OB No Andrew has a probability of winning and Liz has a probability of winning O C Yes Andrew has a probability of winning and Liz has a probability of winning OPERS P BISIN PROLME OD No Andrew has a probability of winning and Liz has a probability of winning Tebing clea STRENG

Given the following measurements which set will produce a single triangle OmZA 22 Om A 35 Om A 27 Om A 35 side a side a side a side a 17 cm side b 12 cm 12 2 cm side b 17 8 cm 33 cm side b 88 cm 11 cm side b 12 cm

Emma is choosing a weekly meeting time She hopes to have two different managers attend on a regular basis The table shows the probabilities that the managers can attend on the days she is proposing Manager A Manager B Monday 0 82 0 88 Wednesday 0 87 0 85 Assuming that manager A s availability is independent of manager B s availability which day should Emma choose to maximize the probability that both managers will be available O A Monday The probability that both managers will be available is 0 72 OB Wednesday The probability that both managers will be available is 0 87 C Monday The probability that both managers will be available is 0 88 D Wednesday The probability that both managers will be available is 0 74

group of students was randomly divided into two subgroups One subgroup took a test in the morning and the other took the same test in the afternoon This table shows the results Morning Afternoon Total Pass 28 36 64 Fail 22 14 36 Total 50 50 100 Compare the probability that a student will pass the test in the morning with the probability that a student will pass the test in the afternoon Draw a conclusion based on your results OA P pass morning 0 28 P pass afternoon 0 36 Conclusion A student taking the test in the morning has a greater chance of passing it than a student taking it in the afternoon OB P pass morning 0 56 P pass afternoon 0 72 Conclusion A student taking the test in the afternoon has a greater chance of passing it than a student taking it in the morning OC P pass morning 0 56 P pass afternoon 0 72 Conclusion A student taking the test in the morning has a greater chance of passing it than a student taking it in the afternoon O D P pass morning 0 28 P pass afternoon 0 36 Conclusion A student taking the test in the afternoon has a greater chance of passing it than a student taking it in the morning

Suppose that a randomly generated list of numbers from 0 to 9 is being used to simulate an event that has a probability of success of 40 Which of these groups of numbers could represent a success O A 0 1 OB 0 1 2 3 4 O C 0 1 2 OD 0 1 2 3

A randomly generated list of integers from 0 to 4 is being used to simulate ar event with the numbers 1 2 and 3 representing a success What is the estimated probability of a success OA 40 OB 60 OC 75 OD 25

Two classmates Aisha and Brandon want to attend two school over the coming weekend They have one parking pass between them The probabilities that the classmates will attend each event are shown in the table Probability of attending the Saturday activity Probability of attending the Sunday activity Alsha 0 65 0 80 Brandon 0 94 0 43 They decide to let the person more likely to attend both events have the parking pass Assuming that attendance at one activity is independent of attendance at the other who is more likely to attend both activities A Aisha She has a 0 65 probability of attending both activities O B Brandon He has a 0 40 probability of attending both activities C Aisha She has a 0 52 probability of attending both activities O D Brandon He has a 0 69 probability of attending both activities

Use the graphs you found in Problem 1 through 6 to find all values of x between 0 and 27 for which each of the following is true 8 sin x 1 2 7 cos x 11 12 9 csc x 1 11 cos x 13 tan x 1 10 sec x 1 12 cot x 1 14 sin x V3

Although we have worked a number of the problems below in the section previous to this working them again yourself will help you become more familiar with the graphs of the six basic trigonometric functions In each case make a table of values for each function using multiples of for x Then use the entries in the table to sketch the graph of each function for x between 0 and 27 1 y cos x 2 y cotx 3 y csc x 4 y sin x

trapezoid B Note Figures not drawn to scale Trapezoid A and trapezoid B shown are similar The length of each side of trapezoid A is 8 times the length of the corresponding side of trapezoid B The area of trapezoid A is how many times as large as the area of trapezoid B A 8 B 16 C 32 D 64 Lviy 8 8

Write a polynomial function of least degree with zeros 0 5 and 5 Write your answer using the variable x and in standard form with a leading coefficient of 1 g x

An English teacher has equal numbers of fiction literature and poetry bool s Each day she randomly selects one book to read from She designs a simulation to estimate the probability that the next three books she selects are all literature Which simulation design could she use to estimate the probability O A Coin Let heads H literature Let tails T fiction or poetry Toss the coin three times Repeat OB Number cube Let 1 6 literature Let 2 5 fiction Let 3 4 poetry Roll the cube three times Repeat O C Number cube Let odd number literature Let even number not literature Roll the cube three times Repeat O D Random digits from 0 to 9 literature Let 1 2 3 Let 4 5 6 fiction Let 7 8 9 0 poetry Select three random digits from 0 to 9 Repeat

lysis of your own Choose a well known company or a local small business and perform a SWOT analysis on the company Do not choose Starbucks or Apple examples in this module Create the analysis in Word and use this simple four quadrant format Please title your document with the Name of the Company SWOT Analysis and make sure your name is on the document as well Give a brief paragraph 5 pts overview of the company it s location products or services and brief history Do a little research on your company of choice and determine at 3 4 specific points for each quadrant of the chart 10 points each Cite any sources used 5 pts W S

pi 4 Opi 6 OP 17 OR Express the exact length of each chord below RQ 17 BO 17 2 2 S 17 2 4 R L

Assume scores are normally distributed Using the normal curve with approximate percentages of scores between the mean and 1 and 2 standard deviations above and below the mean Z Scores Above 60 Below 60 Above 70 Below 70 Approximately what percentage of the students have an exam score that is Above 80 2 Below 80 14 34 34 2 0 1 2 3 Choose Choose Choose Choose 14 Choose Choose

39 If the sector formed by a central angle of 30 has an area of 7 3 centimeters find the radius of the circle

47 Find the shaded area 3 in 120 8 in

What is the probability that a student who plays an instrument is in band Play instrument Don t play instrument Total 20 O A 25 OB O C D 5 30 5 25 5 50 Band Not in band Total 20 5 25 0 25 25 20 30 50

A taste test asks people from Texas and California which pasta they prefer brand A or brand B This table shows the results A 0 43 OB 0 45 C 0 38 Texas California Total OD 0 36 Brand A 80 90 170 Brand B 45 60 105 A person is randomly selected from those tested What is the probability that the person is from Texas given that the person prefers brand B Round your answer to two decimal places Total 125 150 275

The results of a survey of 200 adults are shown in the table Male Female Total 2 O A 16 What is the probability that a randomly chosen person from the survey is female and at least 6 feet tall 2 OB 200 O C 6 or over 14 2 16 2 98 98 O D 200 Under 6 88 96 184 Total 102 98 200

This table shows how many students from two high schools attended a football game Westville North Beach Total OA 0 57 OB 0 43 C 0 45 Attended the game OD 0 60 60 90 150 Did not attend the game 90 110 200 A student is randomly selected What is the probability that a student attended the game given that the student is from North Beach Round your answer to two decimal places Total 150 200 350

83 Use a calculator to find 0 if sec 0 2 3931 and 0 is an acute angle Give your answer to the nearest tenth of a degree

A survey asks teachers and students whether they would like the new school mascot to be a shark or a moose This table shows the results Students Teachers Total Sharks 90 5 95 Moose 10 10 20 Total 100 15 115 A person is randomly selected from those surveyed Are being a student and preferring shark independent events Why or why not OA No they are not independent because P student 0 87 and P student shark 0 83 R OB Yes they are independent because P student 0 87 and P student shark 0 83 OC No they are not independent because P student 0 87 and P student shark 0 95 OD Yes they are independent because P student 0 87 and P studentishark 0 95

A polynomial function g x with integer coefficients has a leading coefficient of 2 and a constant term of 3 According to the Rational Root Theorem which of the following are possible roots of g x H 4 1 318 3

Find exact values for each of the following 61 sin 120 63 tan 135 65 cos 240 67 csc 330 69 sec 300 71 sin 390 73 cot 480 62 64 66 68 70 72 74

If volume of liquid is plotted along the horizontal axis and total mass of beaker plus liquid is plotted on th vertical axis a The x or horizontal intercept is the negative value of the weight of the beaker b The y or vertical intercept is the weight of the empty beaker c The slope of the line is 1 0 d The line will pass through the origin e The slope of the line is independent of the identity of the liquid

What is the center of the hyperbola 9x y 3

What is the center of the hyperbola 9x y 36

Choose the correct answer below OA thangle using translations only OC Z Z O B D XM

LO Use the limit definition of instantaneous velocity for full credit to solve this problem A particle moves along a straight line with equation of motion s t 40 5t 4 9t where s is measured in meters and t in seconds Find the velocity of the particle when t 3 seconds

Find angle a in the diagram below A 30 20 40 D 60 a 5 E 5

A rectangular garden of area 208 square feet is to be surrounded on three sides by a brick wall costing 8 per foot and on one side by a fence costing 5 per foot That is two sides of equal length will consist of brick walls and the other two sides of equal length will consist of one brick wall and a fence Find the dimensions of the garden such that the cost of the materials is minimized To minimize costs the lengths of the sides consisting of a fence and a brick wall should be feet and the lengths of the perpendicular sides which are only made from brick walls should be feet

Some years ago it was estimated that the demand for steel approximately satisfied the equation p 160 20x and the total cost of producing x units of steel was C x 176 40x The quantity x was measured in millions of tons and the price and total cost were measured in millions of dollars Determine the level of production and the corresponding price that maximize the profits The maximum profit occurs at x million tons

Find x and y 28 xq 13

Find the volume of each of these cylinders Figures are not drawn to scale a Right circular cylinder b Oblique circular cylinder 26 m 4 m a The volume of the right circular cylinder is Round to the nearest integer as needed TELEF 8 ft

2 Estimate the T number of the sculpture shown in Figure below Estimate how many sheets of glass are needed to assemble the sculpture icosahedral sculpture An icosahedral sculpture is often used by architects A dome structure built in roof of a building at Yonsei University in Korea A triangular facet is evident by linking three fivefold axes of symmetry the white dot

Find the volume and surface area of the metal prism below with the cylinder part hollowed not enots sin pri Metal Prismene sabbat 5 cm r 10 cm bris ats 10 cm sallad srid ter suas llw ni esbul Sauzen 15 cm to omslov