Algebra Questions

What type of sampling method was used DRAG DROP THE ANSWER A researcher divided a group of students according to gender major field and low average and high grade point average Then she randomly selectes six students from each group to answer questions in a survey Out of 10 hospitals in a municipality a researcher selects one and collects records for a 24 hour period on the types of emergencies that were treated there The subscribers to a magazine are numbered Then a sample of these people is selected using random numbers Every 10th bottle of Energized Soda is selected and the amount of liquid in the bottle is measured Random Stratified Systematic Cluster

2000 freshmen at State University took a biology test The scores were distributed normally with a mean of 70 and a standard deviation of 5 Label the mean and three standard deviations from the mean 55 60 65 70 75 What percentage of the class scored a 70 or above What percentage of the class scored between a 65 75 What percentage of the class scored between a 60 65 What percentage of the class scored between a 70 80 80 85

4 a Samuel is interested in finding out the favorite video game of other students at his school Part A Samuel decides he is going to conduct a sample survey to answer this question Explain how he could design his survey and how he could randomly choose those who will take the survey BiU FE E EXA

18 a b Part A A national achievement test is administered annually to 3rd graders The test has a mean score of 100 and a standard deviation of 15 If Jane s z score is 1 20 what was her score on the test A 82 B 112 100 D 88 E 118 Part B The grades on a history midterm at Gardner High School are normally distributed with 73 and a 4 0 The 2 score for Ben is 0 50 Find Ben s score and type your result in the empty box provided below Answer

The scores on an Algebra midterm were normally distributed with a mean of 82 If Anthony scored 67 with a z score of 2 5 what is the standard deviation w

The time it takes to complete a test is normally distributed with a mean of 45 minutes and a standard deviation of 12 minutes If Nick took an hour and 8 minutes to complete the test find his z score to the nearest hundredth of a second

For each of the following balance sheet items indicate the appropriate classification category from the dropdown list Note If the item is a contra account select the appropriate classification category with contra from the dropdown list 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Equipment Accounts payable Allowance for uncollectible accounts Land held for investment Notes payable due in 5 years Deferred revenue for the next 12 months Notes payable due in 6 months Accumulated amount of net income less dividends Investment in XYZ Corporation long term Inventory Patent Land used in operations Accrued liabilities due in 6 months Prepaid rent for the next 9 months Common stock Building used in operations Cash Income taxes payable

The following December 31 2024 fiscal year end account balance Information is available for the Stonebridge Corporation Cash and cash equivalents Accounts receivable net 5 600 26 000 66 000 Inventory Property plant and equipment net 150 000 45 000 17 000 130 000 Accounts payable Salaries payable Paid in capital The only asset not listed is short term investments The only liabilities not listed are 36 000 notes payable due in two years and related accrued interest payable of 1 000 due in four months The current ratio at year end is 1 6 1 Required Determine the following at December 31 2024 1 Total current assets 2 Short term investments 3 Retained earnings

The following are the ending balances of accounts at December 31 2024 for the Valley Pump Corporation Account Title Cash Accounts receivable Inventory Interest payable Investment in equity securities Land Buildings Accumulated depreciation buildings Equipment Accumulated depreciation equipment Copyright net Prepaid expenses next 12 months Accounts payable Deferred revenue next 12 months Notes payable Allowance for uncollectible accounts Common stock Retained earnings Totals Debits 38 000 82 000 197 000 70 000 146 000 365 000 101 000 25 000 45 000 Credits 23 000 113 000 38 000 78 000 33 000 315 000 8 000 330 000 41 000 979 000 979 000 Additional Information 1 The 146 000 balance in the land account consists of 113 000 for the cost of land where the plant and office buildings are located The remaining 33 000 represents the cost of land being held for speculation 2 The 70 000 balance in the investment in equity securities account represents an investment in the common stock of another corporation Valley intends to sell one half of the stock within the next year 3 The notes payable account consists of a 126 000 note due in six months and a 189 000 note due in three annual installments of 63 000 each with the first payment due in August of 2025 Required Prepare a classified balance sheet for the Valley Pump Corporation at December 31 2024 Use the additional information to help determine appropriate classifications and account balances

Most decisions made by management impact the ratios analysts use to evaluate performance Indicate by letter whether each of the actions listed below will immediately increase I decrease D or have no effect N on the ratios shown Assume each ratio is less than 1 0 before the action is taken 1 Issuance of long term bonds 2 Issuance of short term notes 3 Payment of accounts payable 4 Purchase of inventory on account 5 Purchase of inventory for cash Action 6 Purchase of equipment with a 4 year note 7 Repayment of long term notes payable 8 Issuance of common stock 9 Payment for advertising expense 10 Purchase of short term investment for cash 11 Reclassification of long term notes payable to current notes payable Current Ratio Acid Test Ratio Debt to Equity Ratio

Cone Corporation is in the process of preparing its December 31 2024 balance sheet There are some questions as to the proper classification of the following items a 60 000 in cash restricted in a savings account to pay debt The debt matures in 2028 b Prepaid rent of 34 000 covering the period January 1 2025 through December 31 2026 c Notes payable of 220 000 The notes are payable in annual installments of 30 000 each with the first installment payable on March 1 2025 d Accrued interest payable of 22 000 related to the notes payable is due June 30 2025 e Investment in equity securities of other corporations 100 000 Cone intends to sell one half of the securities in 2025 Required Prepare the asset and liability sections of a classified balance sheet to show how each of the above items should be reported Current assets Long term investments Other assets CONE CORPORATION Balance Sheet Partial At December 31 2024 Assets

5 f UW 6x 35 find UW 19 4x 20 W

the planes 2y 8x 4z 5 and x z 2 y 4 are parallel proof that they are orthogonal proof that its parallel

12 In the figure AC CD DE and BC 6 cm Find CE A B 6 C E D

Find the LU factorization of A Ly To solve the system 1 2 47 3 3 2 1 8 22 using the LU factorization you would first solve and then solve Ux 10 x 33 18 2 41 3 10 Find the solution x 3 2 1

The perimeter of a rectangle is 13 feet If the length is 2 feet find the width Step 1 of 3 Choose the correct formula Answer 2 Points OP 4s OP a b c W 01 Prt OP 21

Find a third degree polynomial P x that has zeros at x 2 x 2 and x 3 and whose x term has coefficient 16

If sin x 35 and x is in quadrant III find the exact values of the expressions without solving for x 37 sin

Use the half angle formulas to simplify the expression sqrt 1 cos8x 1 cos8x

Calculate the center of conic section given by equation below 2x 4 9y 6 A 4 6 B 2 2 C 1 0 D 2 9

Which table represents the solutions of the equation 3 y x 42 Select one O a O c x O b 2 64 0 x 6 2 2 x 4 0 2 y 10 4 8 y 156 1 1 y 6 4 3

Is not a test You are allowed to ask for help on InScribe Make sure you post an image of the question you are asking about AND what you have tried so far 1 3 pts The average weight of 6 people in an elevator is 173 pounds A 7th person gets on and now the average weight is 165 pounds How much did the 7th person weigh Set Up Work 2 pts T Replace these words with a cropped picture of your work for question 1 only Answer 0 5 pt Reasoning Explanation 0 5 pt

2 Use the following data obtained from ages of the last six U S Presidents at the time of their inauguration to answer the following questions Ages of Last 6 Presidents at Inauguration George Bush Bill Clinton George W Bush Barack Obama Donald Trump 54 47 70 Joe Biden 78 a 2 pts Find the mean of the data set Round to one decimal place X Work 1 pt Answer 0 5 pt 64 46 Replace these words with a cropped picture of your work for question 2a only Reasoning Explanation 0 5 pt

f x 4x 24x 32 12 Find the x intercepts of this function 3 points 13 14 Rewrite the function in the form f x a x h k 3 points Graph the function Make sure the vertex and the x intercepts are clearly visib your graph 3 points y 5

Find the measure of the missing angles y 64 x

5 Perry wants to project a movie from his phone to a screen on the wall The side length of the screen is 56 in The scale from the screen to the phone is 7 in to 1 in What is the side length of Perry s phone Show your work SOLUTION Decide if each statement about unit rates is true or false 155 35mm

The midpoint of AB is M 0 2 If the coordinates of A are 1 3 what are the coordinates of B

In 2014 a high school stage collapsed in Fullerton California when 250 students got on stage for the finale of a musical production Two dozen students were injured The stage could support a maximum of 11 800 pounds If the average weight of a student is assumed to be 142 pounds what is the maximum number of students who could safely be on the stage students

How much water should be added to 10mL of 6 alcohol solution to reduce the concentration to 5

Consider the following vector equation 1 1 2 002 3 6 3 12 23 2 24 3 5 25 3 6 3 12 1 Explain how to find a simpler linear system that has the same solution set 2 Explain how to describe this solution set using set notation 7 17 8 19

Solve for the value of w 8w 8 9w 5

avail We have to drink dirty water The colour and smell of the water shows that it needs has not been cleaned for two mo cleaning It is requested to look into the matter and do the needful With best regards Yours obediently Kunal Kalara Class XI C The Principal Govt Senior Secondary School Sardarshahar babara bject Con 9 Non availability of Towel and Soap at Washbasin You are student of Gout Senior Secondary School Sardarshahar There are no towels and ons at the washbasine of the toilets Write a letter to the principal of your school to make the proper arrangement of towels and soaps Ans Near Post Office Sardarshahar 18 December 20 Subject For non availability of towels and soaps at the washbasins of the toilets Sir 40 Spectfulls Midday me ater in th Thursd at burnt a Students requested With best Yours fai Aradhya Presiden Student Respectfully I want to bring into your kind attention to the problem of non availability of soups and towels for washing and wiping hands at the washbasins of toilets There are no soaps at the washbasins outside the toilets Sometimes there are towels but they are dirty and stinking It is very difficult for the students to wash hands properly and then wipe on such a dirty towel It is requested to look into the matter and make the arrangement of clean towels and soaps as early as possible 11 A L You are sit in t Fort F Bundi 15 No

Suppose you buy land for 2 900 000 and spend 1 300 000 to develop the property You then divide the land into lots as follows Category Sale Price per Lot 15 Hilltop lots 15 Valley lots How much did each Hilltop lot cost you OA 168 000 OB 550 000 OC 112 000 O D 43 333 550 000 825 000

5 a Find the LU decomposition of the matrix A 4 6 b Find the LDU decomposition of the matrix 2 1 1 0 2 3 5 2 1 1 A 4 0 2 6 35

Find the sine of ZA A 65 B 97 O Simplify your answer and write it as a proper fraction improper fraction or whole nu sin A C F

p 1 5p 3p S 10 6m 5 7m 10 5m 3 13 8 5 2p 10 7 11 8m 4 2m m l 14 4 3x 6 3x 2 x

Describe and compare the solution sets of x 6x2 7x3 0 and x 6x2 7x3 5 Describe the solution set X X1 X2 x3 X3 of x 6x2 7x3 0 in parametric vector form Select the correct choice below and fill in the ans 3 boxes within your choice Type an integer or fraction for each matrix element O A X OB X X3 OC X X

What is the slope of the line in the graph below Y 5 5 5 5 A 8

Your cell phone company charges 20 00 a month plus 0 05 per text message Create a linear function that inputs the amount of text messages per month and outputs the monthly phone bill a Select the value that corresponds to the independent variable x O The number of texts you send in the month The flat monthly fee Your total cell phone bill b Select the value that corresponds to the dependent variable y O The number of texts you send in the month O The flat monthly fee Your total cell phone bill c Write the equation that represents this scenario Enter your answer in slope intercept form Enter equation d Find three points that lie on the line of this equation Enter point 1 e Graph the equation 150 100 Persuasive definition e 50

Find a possible formula for the quadratic function whose graph has vertex 2 3 and y intercept 4 Enter the exact answer y 1 x 2 3 X

45 18 6 3

Solve each problem involving triangles See Examples 1 4 41 Height of a Ladder on a Wall A 13 5 m fire truck ladder is leaning against a wall Find the distance d the ladder goes up the wall above the top of the fire truck if the ladder makes an angle of 43 50 with the hori zontal 13 5 m 43 50

55 Angle of Elevation of the Sun The length of the shadow of a building 34 09 m tall is 37 62 m Find the angle of elevation of the sun to the nearest hundredth of a degree 115

43 Height of a Building From a win dow 30 0 ft above the street the angle of elevation to the top of the building across the street is 50 0 and the angle of depression to the base of this build ing is 20 0 Find the height of the building across the street 30 0 ft 50 0 20 09

23 B 73 0 b 128 in

is it correct to simplify these fractions like this 2x 1 x 1 x 3 X X 1 1 2x 5x74 Zux fr 11 x 5x 4 12 Este correct X 11 x correct correct 133 1 2 thir 5 2x 2 correct correct

6 If 2 fl oz of glycerol weigh 74 1 g what is its specific gravity 7 An empty aluminum pycnometer weighs 24 91 g and 30 08 g when water Filled with a compounded lotion the pycnometer weighs 29 94 the specific gravity of the lotion ichs 46 7

49 Height of a Tower The shadow of a vertical tower is 40 6 m long when the angle of elevation of the sun is 34 6 Find the height of the tower

If a family has 6 children in how many ways could the parents have 3 boys and 3 girls as children

Solve and graph the compound inequality 8 x 2 9