2D Geometry Questions and Answers

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

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

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

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

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

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

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

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

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

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

Find the complex conjugate 3 18119

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

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

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

10 Locate the circumcenter of each triangle

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

10 The graph of a function f is given Estimate f x dx using five subintervals with a right endpoints b left end points and c midpoints y 1 0 1 48 X milar

Locate the incenter of each triangle 15 210 16

10 Locate the circumcenter of each triangle

13 14

Inscribe a circle in each triangle 17 18

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

B A B Construct the perpendiculer bisector of side AB of each triangle

Parallelogram 1 2 3 5 the transformed parallelogram land in OAI OB II O c III OD IV is transformed using 1 0 Which quadrant does

What is the approximate value of sin B B 7 A 17 46 16 OA 2 29 OB 1 09 OC 0 40 OD 0 92

O O 23 B S SS 13 12 67 90

An isosceles triangle has angle measures 40 40 and 100 The side across from the 100 angle is 10 inches long How long are the other sides OA 6 53 inches OB 6 43 inches O C 15 32 inches OD 10 inches

A 12 foot board rests against a wall The angle that the board makes with the ground is 60 How far is the base of the board away from the wall Select the correct trig ratio and distance from wall O A sin 60 12 x 13 85 feet B sin 60 x 10 39 feet O C C cos 60 12 X 6 feet x OD cos 60 12 x 24 feet

Use Pascal s Triangle to complete the expansion of t u 4 2 t6 6t u tu 20t u 15t u4 6tu5 u6

Use the law of sines to find the length of side A 38 b O A 21 28 OB 29 37 OC 38 06 D 25 B 31 6 25

The ratio of the lengths of corresponding parts in two similar solids is 2 1 What is the ratio of their surface areas OA 8 1 OB 2 1 O C 4 1 O D 6 1

Question 15 38 118 NOTE The triangle is NOT drawn to scale Answer the following Round your answer to 3 decimal places as needed 31

A snack bag of potato chips is advertised as weighing 1 5 ounces Suppose a bag of potato chips is selected at random from a snack pack and weighs 1 7275 ounces Compute the percent error rounded to the nearest hundredth Simplify your answer completely PE Using the 5 guideline was the advertised weight an accurate estimate Since this percent error is less than 5 we see that the advertised volume was a good estimate Since this percent error is less than 5 we cannot determine if the advertised volume was or was not a good estimate Since this percent error is greater than 5 we see that the advertised volume was a good estimate Since this percent error is greater than 5 we see that the advertised volume was not a good estimate Since this percent error is less than 5 we see that the advertised volume was not a good estimate

A right cone has a slant height of 6 and a radius of 2 What is its surface area O A 48 units2 O B 16 units2 C 12 units D 24 units2

Which types of polygons are the faces of a tetrahedron O A Regular pentagons B Regular hexagons OC Squares OD Equilateral triangles

Ava took out a 30 year loan for 310 000 at 2 3 interest compounded monthly If her monthly payment on the loan will remain 1192 88 for the life of the loan how much will Ava have paid in interest once the loan is paid off OA 310 000 00 OB 429 436 80 OC 119 436 80 OD 317 130 00

The image shows a triangle C 1 Construct the perpendicular bisector of segment AB 2 Imagine a point D placed anywhere on the perpendicular bisector you constructed How would the distance from D to A compare to the distance from D to B Explain your reasoning Activating Strategy

Triangle 2 1 Construct the circumscribed circle of the triangles you chose 2 After you finish compare your results What do you notice about the location of circumcenter in each triangle State where the circumcenter is for that triangle

The image shows a triangle A C Construct the perpendicular bisector of segment AB 2 Imagine a point D placed anywhere on the perpendicular bisector you constructed How would the distance from D to A compare to the distance from D to B Explain your reasoning B Activating Strategy

Brooke took out a 4 year loan for 1825 at a computer store to be paid back with monthly payments at a 12 5 APR If the loan offers no payments for the first 17 months how many payments will Brooke be required to make A 31 B 48 C 65 D 17

Donna took out a 25 year loan for 115 000 at an APR of 7 2 compoundec monthly and she is making monthly payments of 827 53 What will her balance be with 15 years left on the loan OA 70 643 14 OB 90 932 36 C 112 848 16 D 113 587 00

We are wanting to determine the forces in the ropes for the system shown below Use the following information The blue lines are the ropes in the system The red circle at C is a simple pulley and the green lines are how the pulley is connected to the wall These should not factor into your work The rope that comes from A wraps around the pulley at C and then connects to D The orange lines are used to show direction The system connects to the wall shown in black at points B E and F The positive x direction is to the right and the positive y direction is up B 1 A 15 lb 3 3 F 60 D 35 lb E 30