Basic Math Questions and Answers

Convert 495 ml to fl oz Conversion Ratio 1 fl oz 29 5735 ml Round the fluid ounces to the nearest hundredths C 0 00 0 04 Speed 1x

Find the area of the figure Sides meet at right angles 13 in 7 in 5 in 3 in 3 in 3 in

W Y J X H A Side XY corresponds to side Angle W corresponds to angle K

In circle E EF 8 and m FEG 45 Find the length of FG Expres your answer as a fraction times 7 G E F

Old age survivors and disability benefits Medicare benefits O Health insurance program Social insurance program Unemployment benefits

ation Write the equation of the circle below in standard form

first circle always represents 60 minutes Select one 81

What is the effect of the rise in income of people O People s purchasing power decreases O Demand increases O Demand decreases

a Determine an equation of the line of intersection of the planes 4x 3y z 1 and 2x 4y z 5 b Find the scalar equation for the plane through 5 2 3 and perpendicular to that line of intersection

A promise made by the manufacturer of a product to stand by the product made is called a O warranty O repair O product promise

Less than a month before the election a new poll is published showing Candidate A with a lead over Candidate B This poll is an outlier from other recent polling results that show Candidate B leading Candidate A Media coverage of the poll is extensive but varies based on the political views of the media source and its audience Some media outlets treat the poll as an anomaly while others suggest that it marks a shift in the campaign in favo of Candidate A Which is the most likely effect of the media s coverage of this poll 4 points Voters will believe that Candidate A is now ahead of Candidate B Voters will conclude that Candidate B is still ahead of Candidate A Voters will interpret the results in favor of their preferred candidate Voters will pay less attention to information about the candidates

1 50 points Let f x 2x 3x 2 Find f 3

In Exercises ing Laplace transforms t xe 15 y 3y 16 0 t 2 t 2 16 y 4y 5tu t y 0 1 17 y 4y 3y e3 3u t y 0 0 y 0 0 5e 0 t 3 y 0 0

In Exercises 6 and 7 tell whether AB is tangent to C Explain your reasonin 6 11 B 7 A 13 a 5 bust 13 531 13 25 121 169 196 169 Not tong to C B 10 8 6 A

According to the text President in that office however he is generally raked as one of the greatest presidents Lincon had less leadership experience than others Washington Kennedy Rosevelt

In circle N NO 3 and the area of shaded sector T Find m ONP N 0 P

Match the section of the Car Fax report with the correct description Contains the VIN number make model year type and description of the vehicle Identifies any damage or repairs made to the vehicle Tells you what state the vehicle was licensed in and how many miles were last reported Lists all the checks that have been ran on the vehicle including accident reports and warranties OI III II IV I II IV III I II III IV Vehicle Informati Ownership History Title Problems Other Information

In circle P with m NRQ 42 find the angle measure of minor arc NQ Answer m NQ N R

2 Appraisal fraud can be performed by doing which of the following to an appraisal a Inflate only b Deflate only c Both inflate or deflate d Hiring an appraiser to accurately appraise a property

Find the measure of each marked angle The degree measure of the top angle of the triangle with angle measure 937 x 8 9x 37 4x 92

Find the measure of the marked angles 4x 41 7x 8

O A fee paid to the insurer for protection under specified terms O An arrangement between an individual and an insurer to protect the individual O An unpredictable event which leads to loss or damage

Question 6 Points 2 A is a record of transactions involving the use of credit which includes loans credit cards and other types of debts Ocredit card Ocredit check

27 Use the side by side box and whisker plots below that compare the scores for Mrs Omar s 1 and 5th period Statistics classes Which conclusion can be drawn from the box plots 10 O A O B O C O D OE 20 30 40 50 60 70 80 90 1st Period 5th Period 100 A 1 Period did better because 75 of the student scored higher than 60 compared to 25 in 5th period B 1 Period did better because the whiskers are longer on both ends of the box and whisker plot C 5th period did better because more students scored higher than 60 compared to 1 period D 5th Period did better because the lowest score was higher than the lowest score in 1 period There is not enough information to decide which class did better E

ed part Tutorial Exercise In its second year of operation a local Internet provider s profits were 164 500 If this amount was 486 of the company s first year profits find the first year profits to the nearest hundred dollars Step 1 If we let x represent the company s first year profits then we can set up an equation in x using the fact that 486 is written in decimal form as Since the second year profits of 164 500 are 486 of x we have the equation x x 164 500

Sort each example into the correct category of debt Press on an item in the answer box then press on the box under the corresponding category To remove an item you can press on the box and the trash can icon to the right of the item you wan to remove Secured Debt Add an answer item Answer Bank Unsecured Debt Add an answer item

Match the credit score category to the correct percent credit payment history current debts credit history age number of inquires types of credit 15 b 35 C 10 d 30

36 Lizzie took both the ACT and the SAT but she can only report one to the colleges that she is applying for She scored 625 on the math section of the SAT and 28 on the math section of the ACT The SAT test had a mean of 490 points and a standard deviation of 100 points for the math section The mean on the math section of the ACT was 21 with a standard deviation of 6 Which score should she report and why A The ACT because a higher percent of students scored above her The SAT because a higher percent of students scored above her C The ACT because the z score is higher B The SAT because the z score is higher Either one because the z scores are equal D E O A OB Oc OD

30 In the scatterplot to the right grade point average and hours of video games played in a week shows one student who is somewhat of an outlier If that student is removed from the graph what will happen to the calculation of the correlation O A OB O C O D A The correlation will stay the same The correlation will get positive C The correlation will get weaker B D The correlation will get stronger pe and sewei oOPIA JO SINOH Grade Point Average

17 Mary wants to randomly choose three friends to take to the Wild game next week She wrote their last name on paper with a number assigned next to it shown below E O A OB O c OD 1 Bechhofer 2 Brown 3 Ito 4 Kesten 5 Kiefer 6 Spitzer Mary used Line 206 from her textbook shown below to select her sample Line 206 Who did Mary choose to take to the game A 117 B Bechhofer Bechhofer Taylor C Bechhofer Ito Weiss D Bechhofer Taylor Weiss B Kesten Kiefer Taylor 7 Taylor 8 Wald 9 Weiss 11793 20495 05907 11384 44982 20751 27498 84533

18 James decided to conduct a survey for his final project in Statistics 101 at Slater Community College He collected data from 1 125 people that he knows from class lives near stopped on campus friends and family After weeks of work he presented his study and statistics to his class What can be said about his results A It is biased because he didn t randomly select his sample of people It is very good because he surveyed so many people and so now his margin of error will be really small It is biased because he handed them the survey It is very good because people probably didn t lie since he knew them or they were nice to stop and help out B C D O O B O C OD

The next two questions refer to the information below The PTA is holding a raffle to raise money for the elementary school They are selling 500 raffle tickets for 5 00 each They will draw tickets randomly and will be awarding a grand prize of 750 a second prize of 100 and five prizes of 20 Complete the probability distribution table if all tickets are sold and answer the questions that follow Amount of Prize X O A COB O c Probability of Winning P X 15 What is the probability of winning nothing A 0 002 B 0 141 C 0 495 D 0 500 E 0 986 750 100 20 0

What percent of males weight LESS THAN 175 pounds Suppose that the average weight for males aged 20 to 29 years is approximately normally distributed with a mean weight of 183 4 lbs and a standard deviation of 40 1 lbs 23 42 O 46 58 96

31 The histogram to the right shows the results for 39 students on the Algebra with Quadratics final When the teacher enters the grades into the computer what will be true about the test statistics A The mean will be larger than the median B The mode will be smaller than the mean C The mean will be smaller than the median D The median will be larger than the mode O A OB O C D 20 Final Scores 100

Step 1 Multiply both sides of the equation by the denominator of the fraction 3x 3 x 3 7 3x x 3 x 3 x Simplify both sides of the equation 3x 3 7x 7 Move the x terms to one side of the equation and the constants to the other side x 24 Solve for x If there is no solution enter NO SOLUTION X

14 Suppose that you decided not to play the game yourself but to watch many people play and record the results The bottom row of the table shows the frequencies that you observed Based on your results what is the experimental probability of a person winning nothing O A OB O C O D A 31 B 50 C 76 D 89 B 97 Amount Won Number of Sections Number of times it landed in this section while you observed 100 1 50 1 0 25 3 2 10 5 7 30 97

O A A carnival game is made of a large wheel divided into 40 equally sized sections Each section is labeled with a prize amount The participants spin the wheel one time and win the amount shown in the section that it lands on The table below shows the amount of the prizes and the number of sections for each prize amount O O C O D Amount Won 12 Calculate the expected value for a spin of this EX A 0 00 B 6 88 C 7 90 D 10 00 E 275 00 Number of Sections 100 1 game 50 25 1 3 10 5 0 30

11 The table given shows the breakdown of a middle school in the town of Pleasantville What is the probability that a randomly chosen student will be a female given that she is an 8th grader A OB C A 0 1814 B 0 3504 C 0 5578 D 0 6282 O D Male Female TOTAL 78 75 67 65 TOTAL

9 At a certain University 23 of students will graduate with a math degree 31 will graduate with a Computer Science degree and 7 will graduate with a degree in both math and computer science What is the probability that a student will graduate with a math or a computer science degree O A O B O c A 7 B 47 C 54 D 61

8 A fair coin is flipped 3 times What is the probability that exactly 2 tails and 1 head will appear in any order A 1 8 B 1 4 C 3 8 D 1 2 O A O B Oc OD

7 A bag contains 3 red marbles 5 yellow marbles and 2 green marbles What is the probability that you will select 2 green marbles in a row if you do not replace the first marble O A O B O c O D A 0 020 B 0 022 C 0 040 D 0 200

6 In a certain dice game rolling a sum of 7 with two 6 sided dice is a winning roll What is the probability of rolling a sum of 7 with two 6 sided dice A 1 12 B 1 6 C 1 4 D 1 2 O A B C D

Cold Stone Creamery has 16 flavors out to pick from Which option shows the correct way to calculate the number ways you could pick 2 different flavors for your ice cream cone if order does not matter A 16 2 B 16 16 C P D 16C OA OB O C OD

3 You have packed 4 pairs of pants 5 shirts and 3 pairs of shoes Which option shows the correct way to calculate how many different outfits consisting of one pair of pants one shirt and one pair of shoes can be created with what you have packed C A 4 5 3 B 4 5 3 O A OB OD C 41 51 31 D 4 5 3

1 A password for an alarm code company requires 4 letters followed by 2 digits If no letters or digits may be repeated how many different codes are possible A 2 080 B 25 833 680 C 32 292 000 D 45 697 600 QA O O C O D

Use the information provided about the moons for the planets Jupiter and Saturn to determine the truth values of the simple statements Then determine the truth value of the compe Himalia has a diameter of 1000 3161 miles or Thebe may have water and Rhea may have atmosphere Click on the icon to display the information provided about the moons for the planets Jupiter and Saturn COTE Determine the truth value of the first simple statement Himalia has a diameter of 1000 3161 miles Choose the correct answer below O True O False

4 Now that you have heard different points of view what do you think of the underage gun charges that were dropped Should the charges have been dropped

onstruct a p q Il in the table P T q T p a

s false q is true and FIS PAq q v r ose the correct answer below A True because p q is false and q v r is true B False because p q is false and q v r is true C False because p q is true and q v r is false D True because p q is true and q Vv r is false

mplete the truth table 1 b T L bva bva a