Basic Math Questions and Answers

Click here to watch the video Which of the following election methods may violate the majority criterion Choose the correct answer below OA Pairwise comparison method OB Plurality with elimination method OC Borda count method OD Plurality method

What is the missing length a a 16 m 2 area 304 m 304 m meters

Income in 1960 dollars person for 16 European countries and the percent of the labor force in that works in agriculture in 1960 are in the table below OECD economic development 2013 a State the random variables rv X Select an answer of Select an answer rv Y Select an answer of Select an answer b The symbol and value of the correlation coefficient are as follows Round final answer to 3 decimal places Select an answer Interpret this value X percent of labor in agriculture 42 25 18 23 79 20 36 14 15 15 44 4 56 6 20 27 There is a strong Select an answer and income for European countries Select an answer Interpret this value Y income 290 839 1049 681 177 977 529 c The symbol and value of the coefficient of determination are as follows Round final answer to 3 decimal places About linear model with Select an answer 1644 1242 1035 238 1105 324 1005 1013 504 Select an answer relation between percent of labor in agriculture of the Select an answer O Select an answer explained by the Bas its Select an answer variable

3 Use counters to model the arrays for all factor pairs for 24 The array for 2 and 12 is shown below

O 13 A tent is in the shape of a triangular prism About how much canvas including the floor is used to make the tent Example 3 A2 62 3 4 00 bnb

A rotating light is located 16 feet from a wall The light completes one rotation every 4 seconds Find the rate at which the light projected onto the wall is moving along the wall when the light s angle is 25 degrees from perpendicular to the wall light wall feet per second

Determine tension T for the pulley system shown in Figure 8 Show appropriate free body diagrams to support your calculations 300 N

Determine the resultant and indicate the angle or slope for the right angle force system shown in Figure 4 80 N 150 N FIGURE 4

uestion 9 of 30 1 point Question Attempt 1 4 5 6 7 he identity in n x sinx hat each Statement must be based on a Rule ch ht of the Rule

18 19 20 21 22 airplanes leave an airport at the same time An hour later the p km during the hour find the angle between their flight paths

16 17 18 er a triangle ABC like the one below Suppos your answers to the nearest tenth e is more than one solution use the button la

Find all solutions of the equation in the interval 0 2 csc 0 3 csc 0 2 0 Write your answer in radians in terms of it If there is more than one solution separate them with commas 0 Olc B JT 0 0

Complete the table Net Asset Value per Share 4 41 00 5 5 00 6 4 95 3 95 2 59 9 22 88 782 7 8 Amount Invested 9 000 15 000 75 000 12 500 90 000 7 500 Loading Rate 8 00 4 00 3 00 2 50 3 80 a a Loading Charge 800 1 200 Amt Invested minus Loading a b b b b Charge 8 200 Number of Shares Purchased a b C C C

Use the table on p 15 to help you complete each row below 1 Annual Rate 3 50 4 25 1 50 2 50 Interest Period 1 year quarterly 1 year quarterly 1 year monthly 1 year daily Original Amount Principal per 1 00 6 000 8 400 a 5 000 a 1 800 a a Amount b b b b Interest Earned C C C C Annual percentage yield d d d d

Use your knowledge of formal and informal fallacies to determine which of the following statements are true Check all that apply There are two distinct types of fallacies Some cogent arguments commit a fallacy There are two distinct ways that an argument may be defective 1 The argument may have one or more false premises and 2 the argument may commit a fallacy All defective arguments have false premises Only deductive arguments may commit a formal fallacy 00 0 0 All fallacious deductive arguments are unsound Some fallacies try to distract a listener from the rational implications of an argument by making pejorative claims about the argument s author C M B Fallacies that arise because the arguer tries to appeal to a listener s dispositions or prejudices rather than appealing to rational inference are formal fallacies You can detect some fallacies merely by examining an argument s form Some fallacious deductive arguments are cogent Some unsound arguments neither contain false premises nor commit a fallacy Some fallacious arguments also have false premises If an inductive argument commits a fallacy then the fallacy must be an informal fallacy Fallacies involve defective patterns of reasoning that preclude an argument s conclusion from following from its premises Fallacious arguments always have false premises

Complete the problems Check your answers in the back of the book 1 Suki and Taj Majorka invested 12 500 in the Eaton Vance Dividend Builder Fund Type A The net asset value is 21 71 The fund is front loaded with a loading rate of 5 75 a What is the loading charge b How many shares did they buy 2 Bayne Grycza invested 30 000 in the Hanson Ryder Mutual Fund Type A The net asset value is 16 80 per share The fund is front loaded with a loading rate of 3 5 a What is the loading charge b How many shares did Bayne buy

14 Norm Hunter invested 5 000 00 in the Alpha Telecom Mutual Fund The net asset value is 7 72 The loading rate is 2 6 front loaded a What is the loading charge b How many shares did Norm purchase

10 American Mid Cap Mutual Fund has a net asset value of 20 00 and is front loaded at 4 Tomas Diaz invested 3 400 a What is the loading charge b How many shares did Tomas purchase Renniae Prince

12 Artisan Large Cap Mutual Fund has a net asset value of 20 00 Mike Morgan invests 14 000 The loading rate is 5 5 back loaded Mike sold at 21 85 NAV How much profit loss did Mike make 165 00 Halan

mepage Northland 12 Points The graphs of Select x 4 10 Select Select DETAILS y 3 W Assignment 12 Conic Select 1 and x 3 x 1 y y 10 Select 10 5 10 42 3 Select Select 1 are given Label the vertices foci and asymptotes on Select 10 M Speech 5 Submit Outl Select Homepage N ical College o Mail Salad X Select

Two cars are moving towards an intersection One car is 180 meters north of the intersection and moving towards the intersection at 19 m s while the other is 170 meters west of the intersection and moving towards the intersection at 20 m s How rapidly are the cars approaching each other 5 seconds later The cars are getting Select an answer at rounded to 3 decimal places m s Enter your answer

Homepage Northland 10 6 Points W Assignment 12 Conic DETAILS 6 4 2 y The graphs of x 12y and x 3 12 y 1 are given Label the focus directrix and vertex on y 2 Select 2 4 2 Select 4 6 Select Select Homepage N ica M Speech 5 Submit Outl X o Mi

Northland Points r th the polar equation with one of the graphs labeled I VI 6 1 cos 8 elect DETAILS 7 W Assignment 12 Conic I IV blei 37 EIN 7 II V M Speech 5 Submit Outl EIN Homepage N ical Colle Elo o Mail Sal III T VI

Northland W Assignment 12 Conic oints DETAILS h the equation with the graph 4x 2 16y 64 10 5 y 10 5 10 5 M Speech 5 Submit Outl 10 X 10 5 O 10 5 10

hland s 2 equation with the graph x 10 W Assignment 12 Conic DETAILS 1 5 y 10 5 5 10t 5 M Speech 5 Submit Outl 10 X Homepage N ic 10 5 y 10 5 5 10F

omepage Northland 1 Points Select DETAILS Match the polar equation with one of the graphs labeled I VI 12 r 3 2 sin 9 I W Assignment 12 Conic T IV K N 37 FIN 7 II V M Speech 5 Submit Outl NA Homepage N E 2 III 77 VI

vinupuye HYVELHIMEIMAR 1 Points DETAILS A graphing calculator is recommended AssignmIONI 12 CUTION Use a graphing device to graph the conic 2x 4x y 6 0 4 2 y 15 10 5 10 15 2 4 M Speech Submit Uuti X 4 2 15 10 5 10 15

Sylvia makes pizzas at an Italian restaurant A large pizza is listed on the menu as being 16 inches Sylvia wants to know how accurate she is at throwing dough to that size A coworker measures all the pizzas Sylvia throws and they randomly select 35 data points They use this data to calculate the following 95 confidence interval 15 85 16 10 Use this to recommend a strategic decision

Determine the discharge through a trapezoidal section with a bottom width of 20 ft and side slope of 1 2 for a normal depth of 4 3 ft n 0 013 and S 0 09 Answer Choose Choose

through a rectangular section 20 ft wide for a large normal depth of 4 4 ft n 0 013 and S 0 12 Answer Choose Choose

4 5 pts The number of touchdown pa season are given in the following grou Number of Toucho 10 14

K deviation o 15 Find the probability that a randomly selected adult has an IQ between 93 and 117 Click to view page 1 of the table Click to view page 2 of the table The probability that a randomly selected adult has an IQ between 93 and 117 is Type an integer or decimal rounded to four decimal places as needed dard Normal Table Page 1 EGATIVE Z Scores 00 Standard Normal z Distribution Cumulative Area from the LEFT 01 02 03 04 05 Z 06 07 08 09 X

Question 10 1 point Supposo ing c

Question 3 1 point A major department store chain is interes card customers spent on their first visit to credit card accounts were randomly samp sample mean 50 50 and sample stand of the amount spent on their first visit is

Question 6 1 point A random sample of 20 observations was taken from population A sample mean of 80 and a sample varian confidence interval for population mean is No confidence interval can be constructed becaus 80 2 54 6 708 80 2 54 6 708 80 2 33 1 5 80 2 33 1 5 80 2 52 1 5 80 2 52 1 5 80 2 54 10 06 80 2 54 10 06

uestion 9 1 point It is known that distribution of wheat standard deviation of 5 bushels A sa on would

Reserves Loans Securities Property Assets Liabilities Net Worth 50 000 Checkable Deposits 75 000 Stock Shares 25 000 100 000 120 000 130 000 2 Refer to the accompanying balance sheet for the First National Bank Assume the reserve ratio is 15 percent If a check for 14 000 is drawn and cleared against this bank then its reserves and checkable deposits will be A 50 000 and 106 000 respectively C 50 000 and 120 000 respectively B 36 000 and 106 000 respectively D 36 000 and 120 000 respectively

4 A single commercial bank must meet a 25 percent reserve requirement If it initially has no excess reserves and then 2 000 in cash is deposited in the bank it can increase its loans by a maximum of A 1 250 B 2 000 C 1 750 D 1 500

3 Money is created when A a bank grants a loan to a customer B someone lends money to a friend or a family member C a depositor deposits money at the bank D people use money to pay for stuff they buy from one another

MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question 1 Suppose the Northwestern Bank has excess reserves of 12 000 and checkable deposits 1 of 125 000 If the reserve requirement is 20 percent what are the bank s actual reserves A 44 000 B 47 000 C 25 000 D 37 000

Use the given information about 8 to find the exact values of the following 3 tan 0 15 where 0 2 sin 20 sin A cos 20 cos CO tan 20 an 2

5 Demonstrate each of the following additions using the chip model a 5 3 c 3 2 b 2 3 d 3 2

1 The double angle formula for sin 2x is sin 2x 2 In the double angle formula cos 2x cos x sin with 1 sin x to obtain a double angle formula cos 2x 2 to obtain the power reducing formula sin x 3 The formula for cos 2x in terms of cos x is cos 2x X 4 The double angle formula for tan 2x is tan 2x 1 cos 2x 1 cos 2x 5 True or False tan 2x 1 Solve this formula for cos x to obtain the power reducing formula cos x 6 True or False 2 7 True or False cos tan 2x 0 2 in terms of sin x Solve this formula for sin x 2 tan x 8 True or False sin 100 1 cos 0 2 1 2 x replace cos x cos 200 T 0 2T

Date W 12 3 36 This is a 2 page document Directions Find the total number of outcomes that are possible 1 The spinner below is spun three times 3 Selecting a letter from the word TROPHY and a day from the month of May 31 6 136 5 Creating a password with two letters followed by two one digit numbers 2 10 10 200 c P factor of 72 and even 0 75 0 0760 11 11 c P face card or 8 Per 0 076 X 7 A number from 1 72 is chosen at random Find each probability as a fraction in simplest form decimal and percent a P multiple of 9 b P odd or at most 16 13 15 75 00 Unit 12 Probability Homework 2 Counting Outcomes Theoretical Experimental Probability 77 69 30 76 2 A bag contains 5 green marbles and 8 blue marbles A dice is rolled then a marble is chosen at random from the bag 13 6 78 4 Jaden is studying abroad for a semester He can choose the first semester or second semester then choose France Spain Germany Italy or Japan 245 10 X 8 A card is chosen at random from a standard deck Find each probability as a fraction in simplest form decimal and percent a P ace 6 A coin is tossed four times and a card is selected from a standard deck of cards 4 4 4 4 16 8 32 416 7 52 carols d P not a perfect square X 0 3888 b P black or queen 03769 d P red jack 2235 50 0 0334 23 30 37 69 X 3 24

A mining company owns two mines These mines produce an ore that can be graded into two classes regular grade and low grade The company must produce at least 420 tons of regular grade and 480 tons of low grade ore per week The first mine produces 6 tons of regular grade and 16 tons of low grade ore per hour The second mine produces 18 tons of regular grade and 8 tons of low grade ore per hour The operating cost of the first mine is 16 000 per hour and the operating cost of the second mine is 12 800 per hour The first mine can be operated no more than 55 hours a week and the second mine can be operated no more than 36 hours a week How many hours per week should each mine be operated to minimize the cost Note that the ALEKS graphing calculator can be used to make computations easier First mine Second mine hour s hour s

2 Use a protractor to measure each angle in the triangle to the nearest 5 degrees measure of angle A measure of angle B B measure of angle C M

3 Find the maximum and minimum outputs for f x y x 4y xy on the set D x y 4x 9y 36 x 1 Use Lagrange multipliers on the boundary

for graph y f x describe and graph transformation shown 4 g x 2 f x 5 611535 2 1 0 7 6 5 4 3 2 11 0 1 2 3 4 5 6 2 3 4

Based on the data shown below calculate the regression line each value to at least two decimal places y 3 29 XXX 18 2 X y 2 24 78 3 28 07 5678AWN 4 31 46 34 85 34 24 40 03 40 62 9 45 11 10 46 7 11 46 79 12 52 38 13 55 17 14 57 56 X

REVIEW The demand function for a manufacturer s product is p f q 0 13q 130 where p is the price in dollars per unit when q units are demanded per day Find the level of production that maximizes the manufacturer s total revenue and determine this revenue What quantity will maximize the revenue q units What is the maximum revenue