A tank contains 360 gallons of water and 50 oz of salt. Water containing a salt concentration of 1 6 (1 + 1 4 sin t) oz/gal flows into the tank at a rate of 8 gal/min, and the mixture in the tank flows out at the same rate. The long-term behavior of the solution is an oscillation about a certain constant level. a) What is this level? b) What is the amplitude of the oscillation? (Round your answers to two decimal places.)
In: Civil Engineering
Consider the following project being analyzed for possible investment at ABC Corp. Initial Cost –$50 Inflow Year 1 $15 Inflow Year 2 $15 Inflow Year 3 $20 Inflow Year 4 $10 Inflow Year 5 $10 All amounts are in millions. The required return for the project is 8%. The project’s profitability index is: (Enter your answer out to two decimal places. As an example, you would enter 1.50 as 1.50)
In: Finance
A professor has a teaching assistant record the amount of time (in minutes) that a sample of 16 students engaged in an active discussion. The assistant observed 8 students in a class who used a slide show presentation and 8 students in a class who did not use a slide show presentation.
|
With Microsoft PowerPoint |
Without Microsoft PowerPoint |
|---|---|
| 6 | 4 |
| 11 | 14 |
| 10 | 18 |
| 7 | 21 |
| 19 | 8 |
| 9 | 12 |
| 15 | 13 |
| 5 | 23 |
Use the normal approximation for the Mann-Whitney U
test to analyze the data above. (Round your answer to two decimal
places.)
z =
In: Statistics and Probability
A professor has a teaching assistant record the amount of time (in minutes) that a sample of 16 students engaged in an active discussion. The assistant observed 8 students in a class who used a slide show presentation and 8 students in a class who did not use a slide show presentation.
|
With Microsoft PowerPoint |
Without Microsoft PowerPoint |
|---|---|
| 11 | 19 |
| 10 | 8 |
| 18 | 12 |
| 6 | 9 |
| 5 | 23 |
| 4 | 7 |
| 13 | 14 |
| 15 | 21 |
Use the normal approximation for the Mann-Whitney U
test to analyze the data above. (Round your answer to two decimal
places.)
z =
In: Statistics and Probability
5. Consider the following set of dependent and independent variables.
y x1 x2
10 1 17
11 5 9
14 5 13
14 8 10
21 6 3
24 10 8
26 16 7
33 20 3
a. Using technology, construct a regression model using both independent variables. y=___+___x1+___x2 (Round to four decimal places as needed.)
b. Test the significance of each independent variable using a=0.05 Test the significance of x1, Identify the null and alternative hypothesis
c. Calculate the appropriate test statistic. (Round to two decimal places as needed.)
d. Determine the appropriate critical value(s) for a=0.05. (Round to two decimal places as needed. Use a comma to separate answers as needed.)
e. Test the significance of x2. Identify the null and alternative hypotheses.
f. Calculate the appropriate test statistic. (Round to two decimal places as needed.)
g. Determine the appropriate critical value(s) (Round to two decimal places as needed.)
h. Interpret the p-value for each independent variable. (Round to three decimal places as needed.)
In: Statistics and Probability
Project K costs $55,000, its expected cash inflows are $13,000 per year for 8 years, and its WACC is 7%. What is the project's discounted payback? Round your answer to two decimal places.
Project K costs $60,000, its expected cash inflows are $15,000 per year for 8 years, and its WACC is 12%. What is the project's NPV? Round your answer to the nearest cent.
Project K costs $75,000, its expected cash inflows are $15,000 per year for 10 years, and its WACC is 9%. What is the project's payback? Round your answer to two decimal places.
Project K costs $75,000, its expected cash inflows are $15,000 per year for 10 years, and its WACC is 9%. What is the project's payback? Round your answer to two decimal places.
Project K costs $47,994.17, its expected cash inflows are $10,000 per year for 11 years, and its WACC is 10%. What is the project's IRR? Round your answer to two decimal places.
(PLEASE USE EXCEL/CALCULATOR, NEED THE MOST ACCURATE NUMBER)
In: Finance
Country facing a lost decade of growth, ANZ warns
By Shane Wright (Sydney Morning Herald, 21 January 2020)
Australia is facing a lost decade of economic growth, ANZ has warned, that will see living standards slip and wages grow modestly while putting pressure on the Morrison government's plan for a string of budget surpluses.
…
ANZ head of Australian economics David Plank said growth through the current decade would average 2.6 per cent, with that tipped to fall to between 2 and 2.5 per cent across the 2020s. He said that level of growth, lower than both estimated by the Reserve Bank and the federal Treasury, would be driven by tepid non-mining business investment, weak productivity and household consumption held back by high debt and modest wage increases.
…
Australian households, despite record levels of wealth due to high house prices, were carrying record levels of debt that would crimp their spending plans.
…
In its December budget update, Treasury forecast economic growth to lift to 2.75 per cent through 2020-21 and then climb to 3 per cent for the next two years. That level of growth is expected to help drive down unemployment and push up wages.
…
The last paragraph of the article in above question states that economic growth in the future is expected to decrease unemployment and increase wages. Explain the effect these changes in unemployment and wages would have on the AD and SAS curves, and on the short run macroeconomic equilibrium.
In: Economics
STATE: The design of controls and instruments affects how easily people can use them. A student project investigated this effect by asking 2525 right‑handed students to turn a knob (with their right hands) that moved an indicator by screw action. There were two identical instruments, one with a right‑hand thread (the knob turns clockwise) and the other with a left‑hand thread (the knob turns counterclockwise). Each of the 2525 students used both instruments. The table gives the times in seconds each subject took to move the indicator a fixed distance.
| Subject | Right thread | Left thread | Subject | Right thread | Left thread |
|---|---|---|---|---|---|
| 11 | 113113 | 137137 | 1414 | 107107 | 8787 |
| 22 | 105105 | 105105 | 1515 | 118118 | 166166 |
| 33 | 130130 | 133133 | 1616 | 103103 | 146146 |
| 44 | 101101 | 108108 | 1717 | 111111 | 123123 |
| 55 | 138138 | 115115 | 1818 | 104104 | 135135 |
| 66 | 118118 | 170170 | 1919 | 111111 | 112112 |
| 77 | 8787 | 103103 | 2020 | 8989 | 9393 |
| 88 | 116116 | 145145 | 2121 | 7878 | 7676 |
| 99 | 7575 | 7878 | 2222 | 100100 | 116116 |
| 1010 | 9696 | 107107 | 2323 | 8989 | 7878 |
| 1111 | 122122 | 8484 | 2424 | 8585 | 101101 |
| 1212 | 103103 | 148148 | 2525 | 8888 | 123123 |
| 1313 | 116116 | 147147 |
To access the complete data set, click the link for your preferred software format:
Excel Minitab JMP SPSS TI R Mac-TXT PC-TXT CSV CrunchIt!
(a) Each of the 2525 students used both instruments. Select the correct explanation describing how randomization works in arranging the experiment.
For each subject, randomly select which knob (right or left) that subject should use first.
For each knob, randomly select which student will turn it.
For each subject, randomly select which hand that subject should use first.
For each instrument, randomly select which student should use it.
PLAN:
(b) The project hoped to show that right‑handed people find right‑hand threads easier to use. Let ?μ be the mean difference in the time needed to do the action (right minus left). State the hypotheses you should use to reach a conclusion.
?0:?=0H0:μ=0
??:?≠0Ha:μ≠0
?0:?=0H0:μ=0
??:?>0Ha:μ>0
?0:?≤0H0:μ≤0
??:?>0Ha:μ>0
?0:?=0H0:μ=0
??:?<0Ha:μ<0
Make a stemplot from the data, then select the correct stemplot from the options.
| 33 | 88 |
| 22 | 0 30 3 |
| 11 | 11 |
| 00 | 22 |
| −0−0 | 7 4 3 3 1 07 4 3 3 1 0 |
| −1−1 | 6 6 6 2 16 6 6 2 1 |
| −2−2 | 9 49 4 |
| −3−3 | 5 1 15 1 1 |
| −4−4 | 8 5 38 5 3 |
| −5−5 | 22 |
| −6−6 |
| 33 | |
| 22 | 1 51 5 |
| 11 | 0 1 3 80 1 3 8 |
| 00 | 0 1 3 3 4 70 1 3 3 4 7 |
| −0−0 | 6 6 6 2 16 6 6 2 1 |
| −1−1 | 9 4 1 19 4 1 1 |
| −2−2 | 5 5 35 5 3 |
| −3−3 | 8 28 2 |
| −4−4 | |
| −5−5 | |
| −6−6 |
| 33 | 88 |
| 22 | 0 30 3 |
| 11 | 11 |
| 00 | 22 |
| −0−0 | 22 |
| −1−1 | 2 12 1 |
| −2−2 | 44 |
| −3−3 | 6 6 6 5 1 16 6 6 5 1 1 |
| −4−4 | 9 8 5 4 39 8 5 4 3 |
| −5−5 | 7 4 3 3 1 07 4 3 3 1 0 |
| −6−6 |
| 33 | 0 1 1 3 3 3 7 80 1 1 3 3 3 7 8 |
| 22 | 0 1 1 40 1 1 4 |
| 11 | 6 6 66 6 6 |
| 00 | 1 1 4 5 5 91 1 4 5 5 9 |
| −0−0 | |
| −1−1 | 2 12 1 |
| −2−2 | |
| −3−3 | 33 |
| −4−4 | 8 28 2 |
| −5−5 | |
| −6−6 |
SOLVE: Calculate the mean ?¯x¯ and standard deviation, ?s. (Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)
?¯=x¯=
?=s=
Calculate the ?t‑statistic. (Enter your answer rounded to two decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)
?=t=
Find the degrees of freedom, dfdf . (Enter your answer as a whole number. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)
df=df=
What is the ?P‑value. (Enter your answer rounded to four decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)
?=P=
CONCLUDE: What is your conclusion?
Right‑handed people find right‑hand threads easier to use (?<0.01P<0.01).
Right‑handed people do not find right‑hand threads easier to use (0.05<?<0.10.05<P<0.1).
Right‑handed people find right‑hand threads easier to use (0.01<?<0.050.01<P<0.05).
Right‑handed people do not find right‑hand threads easier to use (?>0.1P>0.1).
In: Statistics and Probability
|
Strickler Technology is considering changes in its working capital policies to improve its cash flow cycle. Strickler's sales last year were $2,860,000 (all on credit), and its net profit margin was 8%. Its inventory turnover was 5.0 times during the year, and its DSO was 32 days. Its annual cost of goods sold was $1,500,000. The firm had fixed assets totaling $455,000. Strickler's payables deferral period is 35 days. Assume a 365-day year. Do not round intermediate calculations.
|
In: Finance
Why has manufacturing employment decreased as a share of total employment in Canada over the last 50 years?
A-Because manufacturing products have an elastic demand so that lower prices lead to more machines being used and less workers being hired;
B- Because manufacturing products have an inelastic demand so that lower prices lead to more machines being used and less workers being hired;
C-Because China produces most manufacturing products;
D-Because manufacturing products have a demand elasticity equal to one so that lower prices lead to more machines being used and less workers being hired
Question-1 b)
By 2025 what do you think is the likelihood (or probability) that an artificial intelligent (AI) machine be used as a member of a corporate board of directors?
A-0% (like today)
B-25%
C-50%
D-75%
E-100%
What is the probability that umpires/referees and other sport officials be replaced by computers in the next 10-20 years
A-0% (like today)
B-40%
C-80%
D-100%
What is the probability that a psychologist be replaced by a computer in the next 10-25 years?
A-0% (like today)
B-25%
C-50%
D-75%
E-100%
In: Economics