Basic Math Questions and Answers

3 Assess your own utility function in 3 different ways a Use the certainty equivalent approach to assess your utility function for wealth over a range of 100 to 20 000 U 100 U 20 000 U 1000 U 2500 U 5000 U 9000 U 15000 b Use the probability equivalent approach to assess your utility function for wealth over a range of 100 to 20 000 U 1500 U 5500 U 9000 U 14500 c Plot the assessments from part a and b on the same graph and compare them Why do you think they differ Can you identify any biases in your assessment process

The expression logx log3 log x 2 can be written as

paper published an article about a study in which researchers subjected laboratory gloves to stress Using the accompanying display of the technology results and using a 0 05 significance level tes ulation 1 ick the icon to view the technology results re the null and alternative hypotheses Ho P1 P2 H P P2 Ho P1 H P Question 10 of 15 P2 P2 OB Ho P P2 H P P2 O E Ho P P2 H P P2 CIXD

A plane with airspeed 315 km hr maintains a 341 heading The wind is a constant 41 km hr heading 279 Find the ground speed and true course of the plane Thank you A plane with airspeed 315 km hr maintains a 341 heading The wind is a constant 41 km hr heading 279 Find the ground speed and true course of the plane Omit the degree symbol round your answers to 1 decimal s Ground speed km h

Problems 3 are based on the following table which shows the stock market performance of 40 industries from five sectors of the U S economy as of noon on September 11 2015 Take S to be the set of all 40 industries represented in the table Increased X Decreased Y Unchanged Z Totals 1 3 Financials F Manufacturing M 8 Information Technology T Health Care H 4 Utilities U 3 Totals 24 10 4 6 1 1 3 6 1 1 1 3 40 8 0 6 5 14 7 3 Calculate the following probabilities for an industry selected at random from all those represented in the table a That its stock market performance increased given that it was a manufacturing industry b That it was a manufacturing industry given that its stock market performance increased c That it was a manufacturing industry and its stock market performance increased d That it was a manufacturing industry or its stock market performance increased

MATH 104 01 College Trigonometry 20445 Spri Find a correct to 2 decimal places NOTE The triangle is NOT drawn to scale 40 108

Solve each equation Remember to check for extraneous solutions 1 p 2 3p p 2 p 3 1

11 e 0 11 0 11 answered Question 9 he angle of depression of an ob

a Find A C lote Triangle may not be drawn to scale uppose a 6 and b 5 B b A degrees Submit Question degrees Give all answers to at least one decimal place Give angles in degrees Question Help Message instructor

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MATH 104 01 College Trigonometry 20445 Spring Semester 2023 d the unknowns in the graph below 56 31 h 90 B 8 3 B 17 Week 14 HW11

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4 Given f x 7 2 x 1 x 1 determine a f 3 b f x c 5 5 a Sketch the graph of f x 3 x 2 2 Sketch the graph of its inverse on the same axes b d f 2a 7

A Estimate the area under the graph of f x 2x 4 from a 1 to x 4 first using 5 approximating rectangles and right endpoints and then improving your estimate using 1 approximating rectangles and right endpoints 5 Rectangles 10 Rectangles B Repeat part A using left endpoints 5 Rectangles 10 Rectangles C Repeat part A using midpoints 5 Rectangles

eff traveled 18 miles at an average speed of 15 mph Coming home he aveled 3 mph slower How long did the return trip take elect one O a 3 6 hours O b 1 5 hours c 1 2 hours O d 1 hour

hapter 9 Homework Part II K Use the four step pro f x 3 f x 9 2 9 X

Chapter 9 Homework I st K Use the fo f x

ework Part II Use the four step process to fin f x x 3x 7 f x 2x 3

ork Part II e total cost in dollars of producing x fo Find the exact cost of producing the 4 Use the marginal cost to approximate eing the 11st

A rectangle is inscribed with its base on the x axis and its upper corners on the parabola y 12 What are the dimensions of such a rectangle with the greatest possible area Width Height

Three pounds of flour cost 1 80 How much flour do you get per dollar Round your answer to the nearest hundredth if necessary Answer How to enter your answer opens in new window

Convert 45 grams to milligrams

A random sample of 856 births in a state included 424 boys Construct a 95 confidence interval estimate of the proportion of boys in all births It is believed that among all births the proportion of boys is 0 507 Do these sample results provide strong evidence against that belief Construct a 95 confidence interval estimate of the proportion of boys in all births p Round to three decimal places as needed

Find the marginal cost fu C x 173 0 5x The marginal cost functi

s in Economics Sprit omework Part II Find the marginal il x 15

er 9 Homework F K Find dy y 31

nework Part II Rewrite the expres 6 x7 X

ork Part II the slope if it exists of the line contai 12 15 and 20 18 et choing below and if nec

Using the Inverse Function Theorem what is h 1 8 given that h x 3x 7 2x 4

4 EE 2a 1 4 A chocolate factory charges 45 per month for delivery plus 0 72 for each bar of chocolate Select the expressions that represent the cost in dollars for one month delivery and m chocolate bars Mark all that apply A B C D 45m 0 72 0 72 more than the product of 45 and m The product of 45 and m plus 0 72 45 0 72m

The boxplots show data for state and local community expenditures on police and fire protection Estimate Q Q and Q for police and fire protection spending Q for police spending is Round to one decimal place as needed Police Fire 0 05 1 15 2 Billions of Dollars 25 3 Q Q

Part B Rosa and Peng measure the distance they walk in 3 minutes Rosa walks 396 yards and Peng walks 330 yards They will continue to walk at these speeds along the trail Complete the table to show how far in yards each person would walk Walking on a Trail Distance Rosa walks yards Number of minutes 3 8 396 Distance Peng Walks yards 330

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K Among uses of check their acco The probability i Simplify your a

5 Do people walk faster in the airport when they are departing or arriving Findings are displayed in the table below Normal probability plots indicate that the data are approximately normal and boxplots indicate that there are no outliers Departure 260 53 35 Mean speed ft min Standard Deviation ft min Sample Size a Is this independent or dependent Arrival 269 34 35 b Do individuals walk at different speeds depending on whether they are arriving or departing at the a 0 05 level of significance

K In February a maj a A writer plans to on time b Discuss how re

2 1 14 PUOITIES DETAIL At a well known major university the career choices of Nuclear industry 4 National laboratory 18 SIVITIMINIVETS 14 1 01 Postdoctoral position 22 Industry other than nuclear 22 Continue for Ph D 29 Other research

K The given table indicates the transaction teller for one day Letting C represent ca a check and D represent making a dep express P C ID in words and find its Express P C D in words O A The probability of a customer not

D 3 9 Points webassign net web st DETAILS SMITHNM Consider the following data set The annual wages of employees at 25 25 30 30 35 35 50 60 Prepare a frequency distribution for the dat Wages Frequency

2 With the high cost of fuel airlines are trying many things to save money Continental is using smaller planes on its nonstop flights from Northern Europe to the Eastern United States As a consequence when there is a strong headwind these flights use more fuel than usual A greater proportion of these nonstop flights are out of necessity stopping for fuel When Continental used a smaller plane the flight had to stop for fuel on 43 out of 1100 flights When Continental used a larger plane for this route they stopped for fuel on 12 of the 1100 flights Do larger planes make unscheduled stops less frequently Is this a dependent or independent sample a b What is the result of the appropriate hypothesis test using the a 0 05 level of significance

ght triangle Round your answers to the nearest tenth a b 27 47 B a MEE b 0

3 4 02 SPIRAL Draw AABC the image of APQR after a Tx 1 10 9 a N 10 OUR TE 2 S 7 9 O R P 2 3 4 5 6 7 8 9 10

17 Which is a pair of equal expressions A 9y 6 and 6y 9 B 7x 3 and 3 7x C D 2y x 4 and 2 4y 5x 10 and 5 2 x

n 30 n 12 161 n 134 n 16 126 14 w 13 10 15 R2 3x 4x

8 Justin is centering a mosaic on his bedroom wall As shown in the figure below the rectangular wall is 28 feet in length and the mosaic is 3 feet in height and 6 feet in length The right edge of the mosaic will be y feet from the right edge of the wall and the left edge of the mosaic will also be y feet from the left edge of the wall What is the value of y in feet F 9 G 10 H 10 5 K 12 5 6 28

Kyle used centimeter cubes to build the figure shown What is the surface area of the figure Explain how you found your answer

the mean wail time for a telephone reservation agent at a large airline is 40 seconds A manager with the airline is concerned that business may be lost due to customers having to wait too long for an agent To address this concern the manager develops new airline reservation policies that are intended to reduce the amount of time an agent needs to spend with each customer A random sample of 250 customers results in a sample mean wait time of 39 3 seconds with a standard deviation of 4 2 seconds Using a 0 05 level of significance do you believe the new policies were effective in reducing wait time Do you think the results have any practical significance State the conclusion in context of the problem There is sufficient evidence at the a 0 05 level of significance to conclude that the new policies were effective Do you think the results have any practical significance A No because the test concluded that there is no significant difference between the two mean wail times Therefore there is no practical significance OB No because while there is significant evidence that shows the new policies were effective in lowering the mean wait time of customers the difference between the previous mean wail time and the new mean wait time is not large enough to be considered important OC Yes because the test concluded that there is a significant difference between the two mean wait times Therefore there is a practical significance D Yes because while there is no significant evidence that shows the new policies were effective in lowering the mean wait time of customers the difference between the previous mean wait time and the new mean wait time is large enough to be considered important

Use Theorem 7 1 1 to find f t Write your answer as a function of s f t 5t 1 L f t

Highlight the word or phrase that makes the thesis statement wordy This thesis statement is based on Fahrenheit 451 by Ray Bradbury Guy s fascination with Clarisse is increased by her death

Students should no longer be forced to learn cursive a dated and useless writing style Opinion