College Geometry Questions

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

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

Show your work here Re 14 12 10 8 6 4 2 N 144 12 10 8 6 4 2 2 4 6 8 10 O 2 for 6 8 10 12 1

Find the complex conjugate 8 7181588

implify the expressio 1481 121 2003

Simplify the expression Write your result in standard form a bi 8108 818 429

Simplify the expression 82484868878

Simplify the expression 885041888224 Show your work here Hint To add the square root symbol type roo

Simplify the expression Write your result in standard form a bi 82 61 852 81

The height of the stone face is feet Do not round until the final answer Then round to two decimal places as needed SIDD

A ship leaves its port and sails on a bearing of N33 50 E at speed 24 3 mph Another ship leaves the same port at the same time and sails on a bearing of S56 10 E at speed 16 3 mph How far apart are the ships after 2 hours Round to the nearest integer as needed miles SCHEES 33 50 56 10

Use the identity cosh x y cosh x cosh y sinh x sinh y to verify the identity cosh 2x cosh x sinh x Let x y Substitute x for y in the equation cosh x y cosh x cosh y sinh x sinh y cosh x y cosh x cosh y sinh x sinh y cosh x cosh x cosh sinh x sinh

For each triangle construct all three perpendicular bisectors to show they are concurrent 11 12 781

Anystate Auto Insurance Company took a random sample of 350 insurance claims paid out during a 1 year period The average claim paid was 1 575 Assume o 256 Find a 0 90 confidence interval for the mean claim payment in dollars Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to two decimal places Your answer cannot be understood or graded More Information Find a 0 99 confidence interval for the mean claim payment in dollars Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to two decimal places Your answer cannot be understood or graded More Information

2 A country has a Life expectancy at birth years 70 7 expected years of schooling years 12 5 mean years of schooling years 9 6 and gross national income per capita 32 465 The maximum for expected years of schooling 18 the maximum per capital income is set at 75 000 and the benchmark life expectancy at birth of 85 years Compute the new HDI for this

Use the balance equation below 2 H g O g 2 H O l If 10 grams of H gas is reacted with 48 grams of O gas Which reactant is the limiting reactant How much H O is produced Show all working

14 y T 3 21 1 H H 2 3 5 cos e 90 180 270 360 450 540

Alte is Frying 98 ft off the ground and its string is oulec taut The angle of elevation of the site is 53 Find the length of the string Round your answer to t nearest tenth 3 D

7 x 8 4 x 1 6 4 2 8 6 2 2 8 2 2

2 8 f x X fool 6 4 3 2 8 6f 4 2 2 N y 6 4 8 x

Construct the perpendicular bisector of side AB of each triangle 3 4 B A B