Basic Math Questions and Answers

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

Unfortunately there are many examples of unethical business practices After reading the following story respond to the following Do you believe their actions are unethical Should their actions be made illegal What would you do if you were the CEO of the company would you continue down the same path as the current leaders The tobacco giant Philip Morris has been considered unethical for years as a great deal of advertising from them targets kids Despite stricter regulations Philip Morris still prominently places ads and products in magazines convenience stores and delis They continue to try to create the image of smokers being cool and are considered the biggest reason for young smokers

4 Given f x 2x 5 and g x x 6x find b f f fl 2 c gof 4

et y 13 1 2 The distance is V 1 1 2 and V 5 3 Find the distance from y to the subspace W of R4 spanned by v and v given that the closest point to y in W is y 11 3 1 4

at is the value of x and y 3 C sin 2 5x Sin T 5Y 0 sin 3 5x Sin 7 0

A metropolitan area consisting of a city and its suburbs has a constant total population Suppose that each year 20 of the people in the city move to the suburbs whereas 35 of the people in the suburbs move to the city The transition matrix A for this situation is given Find the resulting long term distribution of a constant total population between the city and its suburbs A 0 8 0 35 0 2 0 65 The long term distribution of the population is Simplify your answers city suburban

A pizza pan is removed at 3 00 PM from an a At what time is the temperature of the pa 5 D

A car battery manufacturer claims that its car batteries last at least 3 5 years on average under normal operating conditions However many consumers have experienced battery failure well before 3 5 years A consumer advocacy group decided to investigate the company to determine if the company s claim about the average lifespan of their car batteries is exaggerated and misleading A random sample of 47 batteries was collected and tested by the consumer advocacy group and the mean lifespan was found to be 3 41 years Use the critical value method to test the hypothesis that the mean lifespan of this brand of car battery is less than 3 5 years using a 0 01 Assume that the standard deviation of the lifespans of all batteries produced by this company is known to be 0 29 years State the null and alternative hypothesis for this test Ho H Determine if this test is left tailed right tailed or two tailed Oright tailed two tailed left tailed Should the standard normal 2 distribution or Student s t distribution be used for this test The Student s distribution should be used The standard normal 2 distribution should be used Determine the critical value s for this hypothesis test Round the solution s to two decimal places If more than one critical value exists enter the solutions using a comma separated list Determine the test statistic Round the solution to two decimal places Determine the appropriate conclusion for this hypothesis test The sample data provide sufficient evidence to reject the alternative hypothesis that the mean lifespan of batteries produced by this company is less than 3 5 years and thus we conclude that the company s claim that the batteries last at least 3 5 years is likely true The sample data do not provide sufficient evidence to reject the null hypothesis that the mean lifespan of batteries produced by this company is at least 3 5 years and thus we conclude that the company s claim that the batteries last at least 3 5 years is likely true 1000 The sample data provide sufficient evidence to reject the null hypothesis that the mean lifespan of batteries produced by this company is at least 3 5 years and thus we conclude that the company s claim that the batteries last at least 3 5 years is likely false The sample data do not provide sufficient evidence to reject the alternative hypothesis that the mean lifespan of batteries produced by this company is less than 3 5 years and thus we conclude that the company s claim that the batteries last at least 3 5 years is likely false

c Surface Area 6 Volume 6 5 cm 7 cm 3 cm Right triangular prism

Flying Cloud Co has the following operating data for its manufacturing operations Unit selling price Unit variable cost 243 117 Total fixed costs 773 000 The company has decided to increase the wages of hourly workers which will increase the unit variable cost by 10 Increases in the salaries of factory superviso property taxes for the factory will increase fixed costs by 4 If sales prices are held constant the next break even point for Flying Cloud Co will be a decreased by 899 units Ob increased by 1 078 units Oc increased by 719 units Od increased by 899 un

Determine which of the following functions 0 x Select all that apply are f x 2x log x 3 01 2 4 f x 3x 2 x 2x Of x 5x

case 1 A C a Additional Materials Book 0 6 Points 0 smaller A value 2 A a DETAILS PREVIOUS ANSWERS O Caco 1 larger A value AUFCAT8 7 1 022 Solve the triangle if one exists Round your answers to two decimal places If a triangle is not possible enter IMPOSSIBLE in each corresponding answer blank A 31 a 14 c 15 Cace 1

2 Find a polynomial function with zeros of 1 2i and 3 Multiplicity 2 Write the function in standard form

A local tennis pro shop strings tennis rackets at the tension pounds per square inch requested by the customer Recently a customer made a claim that the pro shop consistently strings rackets at lower tensions on average than requested To support this claim the customer asked the pro shop to string 16 new rackets at 57 psi Upon receiving the rackets the customer measured the tension of each and calculated the following summary statistics x 53 psi s 2 0 psi In order to conduct the test the customer selected a significance level of a 0 05 Interpret this value A There is a 5 chance that the sample will be biased B The probability of making a Type II error is 0 95 OC The probability of concluding that the true mean is less than 57 psi when in fact it is equal to 57 psi is only 0 05 OD The smallest value of a that you can use and still reject Ho is 0 05

Rust Oleum is a company that manufactures and sells spray paint Their American Accents line of spray paints are guaranteed to contain 16 ounces of paint per can Due to the fact that under filling cans of spray paint is bad for customer relations and over filling spray paint cans is dangerous Rust Oleum has a strict quality control process Every 2 5 hours a quality control officer randomly selects a sample of 17 spray paint cans from the manufacturing line and carefully weighs them to ensure that each can of paint contains 16 ounces on average If the sample mean is found to be sufficiently different than 16 ounces the manufacturing line is shut down and inspected The mean weight of a recent sample of 17 spray paint cans was found to be 15 83 ounces with a standard deviation of 0 54 ounces Use the critical value method to test the hypothesis that the mean weight of the spray paint cans from this manufacturing line is different than 16 ounces using a significance level of 1 Assume that the distribution of all spray paint cans from Rust Oleum is known to be approximately normally distributed State the null and alternative hypothesis for this test Ho H Determine if this test is left tailed right tailed or two tailed right tailed two tailed left tailed Should the standard normal 2 distribution or Student s t distribution be used for this test The Student s distribution should be used The standard normal 2 distribution should be used Determine the critical value s for this hypothesis test Round the solution s to four decimal places If more than one critical value exists enter the solutions using a comma separated list Determine the test statistic Round the solution to four decimal places Determine the appropriate conclusion for this hypothesis test The sample data provide sufficient evidence to reject the alternative hypothesis that the mean spray paint can weight is different from 16 and thus we conclude that the manufacturing line does not need inspection The sample data do not provide sufficient evidence to reject the null hypothesis that the mean weight of the spray paint cans is 16 and thus we conclude that the manufacturing line does not need Inspection The sample data provide sufficient evidence to reject the null hypothesis that the mean weight of the spray paint cans is 16 and thur v

Electric vehicles are often categorized by the range of miles that can be travelled on a single battery charge since charging stations are not yet widespread in the United States The latest model of a certain brand of electric car is reported to have an average range of 220 miles An auto industry journalist would like to verify this claim since she believes that the true range of the car may be less than 220 miles The journalist selected and tested a random sample of 87 cars of this model and found that the average range of the sample was 207 4 miles with a standard deviation of 39 5 miles Apply the p value method to test the hypothesis that the average range electric car model is less than 220 miles using a significance level of 1 State the null and alternative hypothesis for this test Ho H Determine if this test is left tailed right tailed or two tailed two tailed left tailed right tailed Should the standard normal 2 distribution or Student s t distribution be used for this test The standard normal 2 distribution should be used The Student st distribution should be used this Determine the test statistic for the hypothesis test Round the solution to four decimal places Determine the p value range for the hypothesis test p value 0 0005 0 0005 p value 0 005 0 005 p value 0 01 0 01 p value 0 025 0 025 p value 0 05 0 05 p value 0 10 p value 0 10 Determine the appropriate conclusion for this hypothesis test The sample data provide sufficient evidence to reject the alternative hypothesis that the average range of this electric car is less than 220 miles and thus we conclude that the true range of this electric car is likely 220 miles The sample data do not provide sufficient evidence to reject the alternative hypothesis that the average range of this electric car is less than 220 miles and thus we conclude that the true range of this electric car is likely less than 220 miles The sample data provide sufficient evidence to reject the null hypothesis that the average range of this electric car is 220 miles and thus we conclude that the true range of the electric car is likely less than 220 miles The sample data do not provide sufficient evidence to reject the null hunothe

One angle of a triangle measures 52 more than the smallest while a third angle is twice the smallest Find the measure of each angle The triangle has angles of degrees

Apr 18 8 27 59 PM Watch help video Find the center and radius of the circle represented by the equation below x y 4x 8y 29 0 Center F 1

A survey was conducted that asked 1018 people how many books they had read in the past year Results indicated that x 13 2 books and s 16 6 books Construct a 90 confidence interval for the mean number of books people read Interpret the interval Click the icon to view the table of critical t values Construct a 90 confidence interval for the mean number of books people read and interpret the result Select the correct choice below and fill in the answer boxes to complete your choice Use ascending order Round to two decimal places as needed O A There is a 90 probability that the true mean number of books read is between and OB There is 90 confidence that the population mean number of books read is between OC If repeated samples are taken 90 of them will have a sample mean between and and 3 5

Show that A and B are not similar matrices 18 0 8 11 o 0 1 1 0 0 1 1 80 1 A Since A has characteristic polynomial p 2 p 2 the two matrices are not similar hi and B has characteristic polynomial

Consider the following orthogonal set of vectors 24 25 25 24 25 Find the following values v v li li 25 Determine whether the given orthogonal set of vectors is orthonormal The set is orthonormal The set is not orthonormal

Home TSVERK A y 3 sin 127x B y 3 sin 67x 9 y 3 sin 67x D y 3 sin 6x

Use spherical coordinates to find p 5 cosm

4 Solve for x 9x 18 5x 5 Solve for x 5x 2x 3 6x 12 4x 6 4x 3 5x 5

Answer Questions Thoroughly 1 Table Fill in the Table below please give the shape name or measurement that applies to the column Shape hexagon n 2 180 900 degrees n 2 180 n 140 degrees 360 n

5 6 pts The pyramid ad prism shown have the same height If the volume of the pyramid is 22 5 in find the volume of the prism 3 in 5 in 3 in 5

Let P x y be a point on the graph of y x 9 with 0 x 9 Let PQRS be a rectangle with one side on the x axis and two vertices on the graph as shown on the picture next Find the rectangle with the greatest possible area Enter the exact value of the area of this rectangle Greatest area a R 20 unit2 41 S P

Find all real or complex numbers ay and a2 such that 12 6 3 13 13 9 Enter the roots as a comma separated list of values of the form a hi Use the square root symbol where needed to give an exact value for your ans

Find the mass of the ball of radius 2 centered at the origin with a density f p q 0 4e p The mass is Type an exact answer using as needed

find the unit 817 1 Cate reparameteriaa 1 1

Use cylindrical coordinates to find the volume

A bag of 35 tulip bulbs contains 14 red tulip bulbs 11 yellow tulip bulbs and 10 purple tulip bulbs Suppose two tulip bulbs are randomly selected without replacement from the bag a What is the probability that the two randomly selected tulip bulbs are both red b What is the probability that the first bulb selected is red and the second yellow c What is the probability that the first bulb selected is yellow and the second red d What is the probability that one bulb is red and the other yellow a The probability that both bulbs are red is Round to three decimal places as needed

Find the cube roots of z when z 27i and express them in polar coordinates Let 0 0 360 1 smaller 8 value 2 middle e value 3 larger 8 value Answers need to be in the form of cis ie cis pi 4 Please show all of your work Thanks

The graph below shows how much money was given to a charity over five month Donation amount in dollars 2900 2700 2500 2300 2100 1900 July August September October November Month a What was the least donation amount in a month b When did donations have the greatest decrease O July to August O August to September O September to October O October to November

There are 9 doctors at a medical clinic The table below gives information ab Number of female patients 1802 Li 1650 Boyd 1355 Cruz 1235 Falce 1165 Tabib 1016 Munoz 995 Egwu 654 Perez 545 Doctor Kidd Number of male patients 2108 1956 1685 1157 957 758 566 550 345 a Give the set of doctors who treated fewer than Vidd

Translate this sentence into ar Hector s height increased Use the variable h to represen

Complete this quiz to finish the assignment for ALG 2 Period 4 du Solve to the nearest tenth 6 10 sin c

Iz TB MC Qu 10 68 Algo Kler Company Issued

Complete this quiz to finish the assignme the pictured triangles 44 are cong

Complete this quiz to finish the assignment fo Which ratio corresponds to the tange B A O a b Ob c C C

Complete this quiz to finish the assignment Find the length of side b if side c is 3 B A C a C

A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle Find the area of the largest possible Norman window with a perimeter of 36 feet Round your answer to the nearest tenth square feet

A farmer finds that if she plants 90 trees per acre each tree will yield 65 bushels of fruit She estimates that for each additional tree planted per acre the yield of each tree will decrease by 3 bushels How many trees should she plant per acre to maximize her harvest trees Give your answer rounded to the nearest whole number

A vertical line divides a right triangle with base of length 1 and height of length 2 into two pieces The figure below with the two shaded regions formed illustrates how the vertical line can be placed at any percentage of the base 0 65 Find the exact location of 2 located between 0 and 1 on the base of the triangle that maximizes the product of the two areas

0 CHALLENGE PROBLEM The Racitis own 300 shares of Clayton Manufacturing which they purchased at 36 30 per share They also purchased 200 shares at 22 50 per share The dividend per share paid by the company is 0 72 a What is the average price per share b What are the Racitis annual dividends c What is the average annual yield

8 Joyce Kronecki buys 350 shares of KOW Inc that has a high of 42 50 pe share and a low of 23 60 Last year the company paid annual dividend of 0 58 per share What is the a total annual dividend b annual yield based on the low and c annual yield based on the high

7 Woody Davenport owns 850 shares of Yoder Mills High and low prices for the year were 74 46 and 47 50 The dividends are 1 36 per share a What are his annual dividends b What are the annual yields for the high and low prices

6 82 WP Steam undergoes an isentropic compression in an insu lated piston cylinder assembly from an initial state where T 120 C P 1 bar to a final state where the pressure p2 100 bar Determine the final temperature in C and the work in kJ per kg of steam

6 44 WP A 2 64 kg copper part initially at 400 K is plunged into a tank containing 4 kg of liquid water initially at 300 K The copper part and water can be modeled as incompressible with specific heats 0 385 kJ kg K and 4 2 kJ kg K respectively For the copper part and water as the system determine a the final equilibrium tempera ture in K and b the amount of entropy produced within the tank in kJ K Ignore heat transfer between the system and its surroundings 205GK