College Geometry Questions

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

For the following exercises solve the trigonometric equations on the interval 2 0 4 156 1 cos 0 1 12

For the following exercises solve the trigonometric equations on the interval 20 4 155 2 sin 0 1 0

Solve for x Round to the nearest tenth da 19 1 point O 41 8 63 5 28 5

a contractor She has narrowed down her selection to two companies and will base her decision on the likelihood that the job is done on time and on budget She uses online reviews to estimate the probabilities Probability that the Job Is done on time Probability that the Job Is done within budget Contractor A 0 95 0 97 Contractor B 0 98 0 93 Which contractor should Anne choose to maximize the probability that the job will be done on time and on budget Assume all events are independent A Contractor A The probability that both conditions are met is 0 92 B Contractor B The probability that both conditions are met is 0 91 C Contractor A The probability that both conditions are met is 0 93 D Contractor B The probability that both conditions are met is 0 90

A large accounting firm hired seven student interns and their hourly wages were as follows 23 22 20 19 15 16 and 17 Calculate the third quartile 16 00 19 00 20 00 22 00

If the r value or correlation coefficient of a data set is 0 908 what is the coefficient of determination to three decimal places O A 0 908 OB 0 924 OC 0 824 OD 0 808

Which statement about residual plots is not true A If there is an obvious pattern the model is probably reasonab OB The x axis appears in the middle of the graph C The sum of the residuals is 0 OD The vertical axis shows residuals

What does it mean to say that a data point has a residual of 1 OA The x coordinate of the point is 1 OB The point lies 1 unit below the regression line OC The point lies 1 unit above the regression line OD The point lies directly on the regression line

A regression line was calcul measure the height of a plant in inches over time in days The residual plots for each set are shown Based on the residuals which data set is best fit by the regression line A y 10 HA O A Data set A B Data set B OC Data set C 10 y C 10 y B

The residuals for data set A and data set B were calculated and plotted on separate residual plots If the residuals for data set A do not form a pattern and the residuals for data set B form a pattern what can be concluded O A Data set A is not linear and data set B is not linear OB Data set A is not linear and data set B is linear C Data set A is linear and data set B is not linear D Data set A is linear and data set B is linear

What is the value of 2 for the following data to three decimal places OA 0 930 OB 0 659 OC 0 964 OD 0 852 X 1 2 5 y 2 4 7 7 10 10 20

Suppose an electronics manufacturer knows from previous data that 1 of one type of an electronic component are defective The quality control Inspector randomly selects components until a defective one is found Is this a binomial experiment Why or why not A This is a binomial experiment because the situation satisfies all four conditions for a binomial experiment B This is not a binomial experiment because the trials are not independent C This is not a binomial experiment because each trial cannot be classified as a success or failure D This is not a binomial experiment because the number of trials is not fixed

Which of these situations can be considered a binomial experiment A Rolling a single number cube until you get a 5 B Asking 25 students how tall they are and recording their answers C Tossing a coin 50 times and recording the number of times it lands on heads D Drawing one marble from a bag containing 12 red and 8 blue marbles replacing after each draw until you have drawn 5 blue marbles

Suppose the probability of success in a binomial experiment is 0 85 What is the probability of failure A 0 85 B 0 15 C 0 05 D 0 95

What is the probability of flipping a coin 8 times and getting heads 2 times Round your answer to the nearest tenth of a percent A 3 1 B 21 9 C 27 3 D 10 9

A used car dealership categorizes its salespeople by the sold per year with the categories being 0 8 9 16 17 24 and 25 or more If the following data represent the numbers of cars sold by the salespeople last year how many salespeople were in the 17 24 category 2 31 29 5 14 7 10 25 3 22 O A 1 OB 2 O C 3 OC D 4

Which of these is an example of numerical data OO O A Country of origin B Daily temperature C Favorite color OD Street name

Which of these is an example of discrete data A Area of a room OB Distance OC Temperature D Rides in an amusement park

Which of these frequency counts would be represented by the smallest number of dots on a dot plot O A 9 OB 8 O C 7 O D 6

The table below shows the number of e mails received each day by a company employee for two separate weeks If the data were represented with a comparative dot plot which day would have more dots for week 2 than for week 1 Week 1 Week 2 7 4 Monday Tuesday Wednesday 8 Thursday 9 Friday O A Wednesday OB Tuesday O C Monday D Friday 6 5 93 7 2

represented by a comparative bar graph the bar representing which of these would be the shortest Boys Girls Left handed Right handed 15 A Left handed boys B Right handed boys C Right handed girls D Left handed girls 21 19 13

a B sin A C Note Triangle may not be drawn to scale Suppose b 65 and c 97 cos A b Find an exact value report answer as a fraction You will need to determine the length of the missing side first tan A A nav p

If a coin is flipped 5 times and heads comes up 3 times what is the relative frequency of heads coming up A 0 80 B 0 60 C 0 20 D 0 40

Which of these pieces of data about an animal at the zoo is considered numerical data A Color B Gender O C Species D Length

Find the value of x Round answers to four decimal places 23 63 X

Natch each quadratic function to its graph x 2x 32x 128 2 x 8 1 x x 0 h x 2x 28x 98 2 x 7 x x 5 321 128 28x 98 X X 4e

1 Equilateral triangle with side 4 h 10 LA TA V

Simplify the expression Write your answer in terms of 89288 Show your work here Hint To add the square root symbol type root

Simplify the expression 8411811

Show your work here Re 14 12 10 8 6 4 2 144 12 10 8 6 4 2 2 4 6 8 10 12 2 Im 4 6 8 10 12

Find the complex conjugate 81381 168

Find the complex conjugate 3 18119