Math Questions

Use for questions 9 12 A group of students were asked if they have at least one sibling and at least one pet Of the students surveyed 27 said they have a sibling and 24 students said they have a pet Of the students who said they had a sibling 12 do not have pets 9 Complete the Venn diagram to the right to represent the results of this survey 11 P does not have a pet Sibling If one of these students is chosen at random find each probability as a fraction in simplest form 10 P has a sibling and a pet 12 P has a pet but no sibling 10 11 Pet 12

1 The following table represents the Statisti test scores from your class Find the value for all measures of center Round your answer to the nearest tenth if necessary 100 100 Statistics Unit Test Scores 100 96 Mean Median Mode CO

Question 8 of 14 What are the factors of the product represented below x xx O A x 2 x 2 O B x 2x x x C x 1 x 4 D x 2 2x 1 TILES

15 Geraldine opened a savings account with a principal amount of 100 The interest is 105 compounded quarterly At the end of six months the amount of money in her savings account will be a 100 00 b 102 50 c 102 56 d 105 06

Use the circle below for questions 1 7 P Quiz 10 1 Intro to Circles Central Angles Arcs Arc Lengths Q R T S 1 Name a diameter 2 Name a radius 3 Name a central angle 4 Name a chord that is not a diameter 5 Name a minor arc 6 Name a major arc 7 Name a semicircle 1 2 3 4 5 6 7

e velocity of a drone relative to the air is modeled by v 13i 3j The drone encounters wind with velocity modeled by w 7i 2j Which is the true velocity vector of the drone 91i 6j 6i j 16i 9i

Determine the 95 confidence interval for the difference of the sample means Then complete the statements The 95 confidence interval is The value of the sample mean difference is 1 74 which falls interval to the 95 confidence

Antonio is planning a birthday party for his daughter SkateWorld charges a flat fee of 50 plus 3 per child Roller Land charges 5 per child If Antonio s daughter wants to invite 21 friends from school and five friends from her basketball team which rink should Antonio use and how much would he save by doing so Select the correct answer below O He should use Roller Land and he will save 4 O He should use SkateWorld and he will save 4 O He should use Roller Land and he will save 5 O He should use SkateWorld and he will save 5

Ruth is trying to decide between five Roth IRAS The month after the required initial contribution RIC she wants to start contributing the minimum subsequent investment MSI each month Compare the cost of the minimum initial investment and Ruth s monthly contribution for each IRA over the next 20 years Which Roth IRA would Ruth put the least money in over those 20 years Select the correct answer below Option E RIC 2000 MSI 75 O Option B RIC 1000 MSI 20 Option A RIC 500 MSI 200 Option C RIC 1500 MSI 150 Options D RIC 500 MSI 50

A LO 5 3 C 4 B A 3 LO 5 D B Your friend gives you the right triangle above and to the left and says Bisecting an angle is really easy Take triangle ABC If I wanted to bisect ZCAB all I need to do is find the midpoint of BC The ray that goes from A through the midpoint of BC will cut ZCAB in half because it cuts the side BC in half Your friend then sketches the triangle above and to the right

4 A right pyramid has a square base with sides of length 10 units Each segment connecting the apex to a midpoint of a side of the base the slant height has length 13 units What is the volume of the pyramid in cubic units

Susan wants to learn more about how temperature changes in her city She creates a table that shows the low temperatures for two days The table is below Which of the following statements is correct Day Temperature 1 2 8 3 The slope between the two data points is positive because the temperature increased from Day 1 to Day 2 The slope between the two data points is negative because the temperature decreased from Day 1 to Day 2 The slope between the two data points is negative because the two temperatures are negative The slope between the data points is positive because two negatives makes a positive

Answer the questions in the spaces provided on the question sheets If you run out of room for an answer continue on the back of the page Name and ID number Show your work to get Full Credit 1 5 points Find the sinusoidal function for the given data 1PM 2PM 3PM 1 2 Time hours Tide Level meters above sea level 2 Use the Model to estimate the sea level at 7AM 5PM 8PM 10PM 3 7 10 12AM 11

Brian draws a triangle on the coordinate plane and names it AMNB The dilation transformation D x y 2x 2y is applied to create AM N B D AMNB A third triangle is created from the original triangle with a translation transformation AM N B T 0 10 AMNB Based on the three triangles drawn which statements are true Select all that apply All three triangles are similar to one another Triangle MNB and AM N B are similar to each other but not to AM N B Triangle MNB and AM N B are similar to each other but not to AM N B None of the triangles are similar to each other All three triangles are congruent to one another Triangle MNB and AM N B are congruent to each other but not to AM N B Triangle MNB and AM N B are congruent to each other but not to AM N B None of the triangles are congruent to each other

This problem refers to the two person tent shown in the figure below Assume the tent has a floor and is closed at both ends Give your answers in exact form and also approximate to the nearest tenth of a unit If the height h at the center of the tent is to be 4 feet and the length of the tent is to be 5 feet how many square feet of material will be needed to make the tent ft exact form approximate form 11600 ft

The floor plan Ia five room house is shown The rooms are labeled A B C D and E The outside of the house is labeled F The openings represent doors Use the floor plan to answer the questions below a It is possible to draw a graph that models the connecting relationships on the floor plan where vertices represent rooms and the outside and edges represent connecting doors Choose the graph below that models the floor plan D B 30 F b Use the graph from past falle E F E O IBH B F E

Amanda wants to fill a right cylindrical vase with water using a smaller right cylindrical cup Amanda accurately measured the height and the diameter of the vase and the cup Amanda predicts that she will need 6 cups of water to fill the vase Which of the following statements is sufficient to justify that Amanda s prediction is correct A The diameter of the vase is 3 times the diameter of the cup B C D The height of the vase is 6 times the height of the cup The diameters of the cup and the vase are equal and the height of the vase is 6 times the height of the cup The heights of the cup and the vase are equal and the diameter of the vase is 3 times the diameter of the cup

Complete the table by indicating whether each statement is always sometimes or never true A quadrilateral with congruent diagonals is a rectangle A quadrilateral with congruent opposite sides is a rectangle A parallelogram with congruent diagonals that bisect opposite angles is a rhombus A parallelogram with congruent perpendicular diagonals is a rhombus always sometimes O O O 010 never OO

What is wrong the following conclusion All students in North Carolina should take an online SAT course in order to help improve their score This conclusion came from students at Mathville High school All students at Mathville High school in North Carolina took an online SAT prep course Their average increase in test scores after the course was 200 points The conclusion cannot be trusted since offical scientists did not administer the online course The conclusion should have been made for the entire United States not just the students in North Carolina Their scores did not improve enough to say there was a difference The sample was not a simple random sample

You just bought an aquarium for your fish which is 39 75 inches wide and 11 375 inches deep The salesman told you to keep the water 2 inches from the top of the tank so the filter to works properly If the tank is 14 inches high how many cubic inches of water will it contain once it s filled A 5 426 in B 5 087 in C 4 688 in OD 5 552 in Depot Selection

the following equation of an ellipse Answer Step 3 of 4 Find the endpoints of the major and minor axes of this ellipse 9x 64y 72x 128y 368 0 Enter the coordinates to plot points on the graph Any lines or curves will be drawn once all required points are plotted major axis endpoints Ay 15 10 Enable Zo

Cedric is an adventurous fellow His group was scuba diving when the shadow of a Great White was noticed above They decided to ascend to the surface at an angle Their depth relative to the surface of the water in feet D is a function of time in seconds Based on the table shown below choose the correct statement D t 60 0 56 10 24 90 20 100 8 130 0 150 Select one O a Cedric was 60 feet below the surface of the water when he decided to swim to the surface He ascended 2 feet every 5 seconds O b Cedric was 150 feet below the surface of the water when he decided to swim to the surface He ascended 5 feet every 2 seconds O c Cedric was 150 feet below the surface of the water when he decided to swim to the surface He ascended 2 feet every 5 seconds O d Cedric was 60 feet below the surface of the water when he decided to swim to the surface He ascended 5 feet every 2 seconds

The median list price of homes for sale in Erie County in May 2017 was 164 000 and the median list price of homes for sale in May 2018 was 169 000 Therefore the percent of increase in the median list price was 3 approximately Please select the true statement below A For any home that was for sale in Erie County from May 2017 to May 2018 the percent of increase in the list price of that home was 3 approximately B The median list price of homes that were for sale in Erie County from May 2017 to May 2018 was increased by 3 approximately but we can t conclude the same increase about any particular home that was for sale in Erie County in the period from May 2017 to May 2018 C 3 of the houses increased their list price from May 2017 to May 2018 D The mean home list price increased by 3 from May 2017 to May 2018

Use the given minimum and maximum data entries and the number of classes to find the class width the lower class limits and the upper class limit minimum 20 maximum 131 8 classes The class width is Type a whole number

Identify and graph the polar equation r 7 sin 58 What shape does the polar equation form when graphed OA Lemniscate OB Rose with five petals OC Rose with three petals

A 54 foot guy wire is attached to a utility pole to provide support for the pole The wire forms a 60 angle with the ground How high up the pole is the wire attached Write your answer in simplest form 54 ft 60 the ground

number of widgets Widget Production at Plant A B and C 500 400 300 200 100 100 200 300 40 50 60 70 80 number of days Plant A Plant B If a fourth plant produces 400 widgets in 60 days which statement is true Click on the correct answer It makes the same as Plant A It makes more than Plant C It makes less than Plant B

4 Out of 75 students 45 are taking Algebra 2 and 32 are taking Chemistry Sixteen students are taking both Algebra 2 and Chemistry If a student is chosen at random what is the probability that the student is taking Algebra 2 but not Chemistry

Brianna s math teacher plots student grades on their weekly quizzes against the number of hours they say they study on the pair of coordinate axes and then draws the line of best fit What does the line s y intercept represent

Problem Mr Zuckerberg the founder of Facebook recently announced that an average person spends about 50 minutes per da on Facebook Instgram and Messanger Assume that the times spent on these social networks are normally distributed with population standard deviation 20 minutes Test the claim at significance level 0 10 that the population mean is different from 50 minutes per day based on your survey of 200 people that yielded an averaage of 40 minutes What is the sample size n 200 Answer format 1 23 Round to hundredth place Congratulations your answer is correct and saved Check Answer Save Step By Step Example What is the value of o 20 Live Help 2 OPC

plot shows the number of hours worked x and the amount of money spent on entertainment y by each of 25 students Amount of money spent on entertainment in dollars 55 50 45 40 35 30 25 20 15 x 10 5 0 X 2 X X 4 X xx 6 X X X X X X X X X X X Number of hours worked X X 8 10 12 14 16 18 20 22 x Use the equation of the line of best fit y 1 83x 11 34 to answer the questions below Give exact answers not rounded approximations a What is the predicted amount of money spent on entertainment for a student who doesn t work any hours 0

Juan runs a company that makes pens He notices that 1 out of every 9 pens are faulty He uses a standard deck of cards to model the situation with all the 10s representing faulty pens Which statement about his model is true OA His model cannot be improved O B His model can be improved the most by removing all the hearts from the deck O C His model can be improved the most by removing all face cards from the deck O D His model can be improved the most by removing all the face cards and aces from the deck

A company employs 650 people and wishes to survey a sample of its employees about the company culture To avold blas in the survey th human resources director creates a list of all the employees and randomly selects 150 of them to complete the survey Which description matches each term the list of all employees the 650 employees in the company population frame sample the 150 randomly selected employees

A table below displays the mathematics achievement test scores for a random sample of n 10 college freshmen along with their final calculus grades And we assume there exists a linear relationship betwe he mathematics achievement test scores and calculus grades Please find the least squares prediction lin For the calculus grade data and interpret your result x 65 39 1521 78 43 1849 52 21 441 82 64 4096 92 57 3249 89 2209 784 5625 1156 2704 Yi 73 98 X 72535 47 28 56 75 Sum 760 460 23 634 34 y 4225 6084 2704 6724 5244 8464 4183 7921 2044 5329 7350 9604 Xiyi 2535 3354 1092 5248 1904 3136 3900 5625 36 854 59 816

An investment company pays 8 compounded semiannually You want to have 17 000 in the future A How much should you deposit now to have that amount 5 years from now Round to the nearest cent B How much should you deposit now to have that amount 10 years from now Round to the nearest cent

Cool Down Half Gone Again and Again A scientist models the number of grams of a radioactive substance with the expression 15 where d is the number of days since the sample was measured 1 After how many days has half of the substance disappeared through radioactive decay Explain your reasoning 2 After 20 days will there be more or less than 1 gram of the substance left Explain your reasoning

gles in Triangles Directions If G is the midpoint of AB classify each triangle by its angles and sides B 1 ACFE FC 2 ABEC 3 ABFG 4 AGAF 5 If W 10 4 X 3 1 and Y 5 11 classify AWXY by its sides Show all work to justify yo answer d x x x y Find all missing angles 6 72 Solve for x 8 13x 2 3x 4 57 3 4 5x 7 m 1 m 2 m23 m24 7 129 1 9 95 Classify 7x 1 3 19x 18 47 5 8 7 121 10x 9 WX XY WY m m m

Below the two way table is given for a class of students Sophomore Freshmen Male 4 Female 3 Total 6 4 Juniors Seniors Total 2 6 2 3 If a student is selected at random find the probability the student is a junior given that the student is male P Junior Male Round to the nearest whole percent

Given a2 6 and a5 384 of a geometric sequence what is the recursive equation for the nth term an 4 an 1 a 1 5 an 4 an 1 a 1 5 an 4 an 1 a 1 5 an 4 an 1 a 1 5

Vectors t 6i 2j u 4i 8j and v 4i 12j are give Part A Find the angle between vectors t and u Show all necessary calculations 5 points Part B Choose a value for c such that c 1 Find w cv Show all necessary work 2 points Part C Use the dot product to determine if t and w are parallel orthogonal or neither Justify your a

There s a roughly linear relationship between the number of times a species of cricket will chirp in one minute and the temperature outside as expressed in the graph below What is the meaning of the y value when x 120 Temperature Degrees Fahrenheit 130 120 110 100 y 90 80 70 60 50 40 30 20 40 60 80 100 120 140 160 180 200 220 Chirps Per Minute The expected temperature in degrees Fahrenheit if the cricket has chirped 75 times per minute The expected temperature in degrees Fahrenheit if the cricket has chirped 120 times per minute The number of times the cricket could be expected to chirp in one minute if it s 75 F The number of times the cricket could be expected to chirp in one minute if it s 120 F

10 Vera needs repairs on her car The mechanic s estimate says that he will provide 7 3 hours of labor His rate is 55 per hour The total cost of the labor will be a 165 00 b 172 00 c 385 00 d 401 50

Select the correct expressions in the table Which expressions are equivalent to the given expression 9 4 2 576 64 32i2 24 8i 3 2i 2 24 8i 32i2 24 8i 51 6i 45 101 51 6i

B Guests at a wedding have an appetizer choice of soup or a salad an entr e choice of chicken steak or vegetarian then a dessert choice of vanilla or chocolate cake How many different meals are possible

1 2 6 F 3 4 Statement HI 6 HJ 4 6 H FG FH FG HI 11 LHFG LJHI I 4 Reason Given Given J Given When a transversal crosses parallel lines alternate interior angles are congruent 5 AFGH AHIJ Side angle side congruence What is the first error Cai made in his proof D

Select the correct answer from each drop down menu An executive at a software company is using the function g to compare the revenue in thousands of dollars generated by downloads of two products on day x of the business year Function g is a quadratic function equal to the difference when the revenue from downloads of an antivirus program is subtracted from the revenue from downloads of photo editing program The table shows the value of function g for different values of x X g x 0 1 5 14 0 28 0 5 42 0 Complete the statements Interpreting the table 56 1 5 70 4 5 The revenue from downloads of the antivirus program was greater than the revenue from the photo editing program The revenue from downloads of the photo editing program was greater than the revenue from the antivirus program

In Exercises 21 and 22 the area of the shaded sector is shown Find the indicated measure See Example 4 21 area of OM K 50 M 22 radius of OM L M 89 K A 56 87 cm A 12 36 m AS marr 360

Many drivers of cars that can run on regular gas actually buy premium in the bellef that they will get better gas mileage To test that bellef we use 10 cars from a company fleet in which all the cars run on regular gas Each car is filled first with either regular or premium gasoline decided by a coin toss and the mileage for that tankful is recorded Then the mileage is recorded again for the same cars for a tankful of the other kind of gasoline We don t let the drivers know about this experiment Car 16 Regular Premium 19 Difference 1 2 20 22 3 21 24 4 22 24 5 23 25 Test an appropriate hypothesis and state your conclusions 6 22 25 7 27 26 8 25 26 9 27 28 10 28 32

Emilio Ramirez has a 35 off coupon and is purchasing a 3 light chandelier that has a regular price of 115 00 a What is the markdown b What is the sale price e What is the sale price using the percent paid method

Use estimation to select the best response Do not calculate If I pay off my credit card balance each month the most important cost factor is A the grace period B the APR