A town p is 150km from a town Q in the direction 50°,what’s the bearing of Q from e?

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Bearing and dock

A town p is 150km from a town Q in the direction 50°,what’s the bearing of Q from e?

 

Discuss what you learned from the problem. Discuss something the problem made you think about. If we were to change the problem slightly, address how the answer would change.

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Discussion Essay

To be sure that all math formatting is properly displayed, you are strongly encouraged to reload this page after opening. You should also reload this page if “Math Error” appears in place of math problems.

The following problems reflect the reading material you had to prepare for this week. From the list below, choose one problem, write it down, and solve it in detail (show all of your steps). You should pick a problem that has not yet been attempted if you can. Please label your solution with the corresponding question number. In your solutions, you are only to use the math concepts that have been covered in this course up to this point.

Respond to at least two of your classmates’ posts. Responses to your peers must be substantive and should critique their solutions to help them correct or improve their work. Do not solve the problem for them if they have posted incorrect work. Replies to your professor that are required to correct or clarify your work do not count towards the requirement of two replies. If your professor asks a question directed to the entire class, answers to that question count towards your reply requirement.

You must participate in the forum on at least two days.
Your other replies should attempt to discuss the problem. Here are some suggestions:

a) Discuss what you learned from the problem.
b) Discuss something the problem made you think about.
c) If we were to change the problem slightly, address how the answer would change.

See the syllabus for complete grading information

1. Thousands of fluorescent light bulbs have been made at a factory. It is desired to determine the mean of all the light bulbs. A random sample of 70 fluorescent light bulbs has a mean life of 610 hours. Assume the population standard deviation is 36 hours.

a) Construct a 95% confidence interval for the population mean.

b) To construct the interval in part a, did you use the t-distribution or the standard normal distribution? Explain.

c) Which of the following are we 95% confident is in the confidence interval?

i) The usual amount of time a bulb lasts.

  • ii) The true population average of all thousands of bulbs of this type.
  • iii) The sample mean of the 70 bulbs.

d) Explain why a bulb that lasted 620 hours is NOT unusual, even though it is NOT in the confidence interval?

Added a screenshot of assignment

What proportion of the samples will have means greater than 53? What proportion of the samples will have means less than 44? What is the probability that the sample will have a mean between 49 and 51?

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PSYC 2317: Statistical Methods for Psychology

Tarleton State University Unit 4 Homework: Spring 2023

1. Suppose you have a collection of scores that is normally distributed with μ = 50 and σ = 18, and suppose we draw samples of size N = 36.
(a) What proportion of the samples will have means greater than 53?
(b) What proportion of the samples will have means less than 44?
(c) What is the probability that the sample will have a mean between 49 and 51?

2. For a normal population with μ = 150 and σ = 20,
(a) What is the probability of obtaining a sample mean greater than 170 for a sample of N = 4 scores?
(b) What is the probability of obtaining a sample mean greater than 170 for a sample of N= 16 scores?
(c) For a sample of N = 25 scores, what is the probability that the sample mean will be within 5 points of the population mean?

3. The population of IQ scores forms a normal distribution with a mean of μ = 100 and a standard deviation of σ = 15. What is the probability of obtaining a sample mean greater than X = 94,
(a) For a random sample of N = 9 people?
(b) For a random sample of N = 25 people?

4. At the end of the spring semester, the Dean of Students sent a survey to the entire freshman class. One question asked the students how much weight they had gained or lost since the beginning of the school year. The average was a gain of μ = 9 pounds with a standard deviation of σ = 5 pounds. The distribution of scores was approximately normal. A sample of N = 4 students is selected and the average weight change is computed for the sample.
(a) What is the probability that the sample mean will be greater than 10 pounds?
(b) Of all of the possible samples, what proportion will lose weight?
(c) What is the probability that the sample mean will be a gain of between 9 and 12 pounds?

Define, represent and perform operations on real numbers. Solve problems that require ratios, rates, percentages, and proportions.

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Week Four Quizzes and Final Exam

Start this Assignment Due Fri 02/17 11:59 P

Quiz SLO 1 Use appropriate symbolic notation and vocabulary to communicate, interpret, and mathematical concepts T Online Problems Attempt(s): Limit: 1 hour 30 minutes 8 assignments

Quiz SLO 2 Define, represent and perform operations on real numbers Type: Online Problems Attempt(s): 0 of 1 Time Limit: 1 hour 30 minutes Quiz

Quiz SLO 3 Solve problems that require ratios, rates, percentages, and proportions Type: Online Problems Attempt(s): 0 of Time Limit: 1 hour 30 minutes

Quiz SLO 4 Apply algebra is reasoning to manipulate expettins and equations to solve real word problems

Quiz SLO 5 Use Graphs, Tables, Technology to Analyze, and Compare Data Sets Type: Online Problems Attempt(s): 0 of 1 Time Limit: 1 hour 30 minutes Oilier

Quiz SLO 6 Construct and use Mathematical Models Type: Online Problems Attempt(s): 0 of 1 Time Limit: 1 hour 30 minutes

Berger Car Rental borrowed $9803 at 7 5 % interest to cover the increasing cost of auto insurance. Find the term of the loan if the interest is $573.48.

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Find the interest on the loan using the Banker’s rule. P = $8625, r = 9.8%, t = 240 days

The interest on the loan using the Banker’s rule is Sl I.

1 P = $1700.00, r = 4-2%, t = 8 years
Part 1 of 3
(a) The discount is $
0

Part 2 of 3
(b) The amount of money received is $
0
X
a
Part: 2 / 3
Part 3 of 3
Round to two decimal places when needed.
(c) The true interest rate is approximately
0
% .
X

Assume that all interest is simple interest.
4 Berger Car Rental borrowed $9803 at 7 5 % interest to cover the increasing cost of auto insurance. Find the term of the loan if the interest is $573.48.
The term of the loan is
H
months.

When Cecilia’s car needs a new transmission, she’s stuck with a bill for $1799. The dealership offers her an 18-month loan at 14.3% interest to be repaid in 18 equal installments. Find the monthly payment. Round your intermediate steps to the nearest cent.
The monthly payment is $

Businesses that offer repayment plans for purchases are required by law to disclose the interest rate. But that doesn’t mean they go out of their way to let you know what it is. You have to read all the paperwork. Find the interest rate for the following purchase.

To finance a new laptop, Emilie is offered a 4 year payment plan with low monthly payments of $34.90. The cost of the laptop was $884.04 including tax. Round to one decimal place, if necessary.
The interest rate is

DJI manufactures the Mavic Air 2 quadcopter and offered a 5/2/1 chain discount to primary customers. Drone Nerds is a primary customer and ordered 20 Mavic Air 2’s for a total $17,000 list price. What was the net price of the quadcopters? What was the trade discount amount?

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Week 7 my money

7-23. Lucky you! You went to couponcabin.com and found a 20% off coupon to your partner’s favorite store. Armed with that coupon, you went to the store only to find a storewide sale offering 10% off everything in the store. In addition, your credit card has a special offer that allows you to save 10% if you use your credit card for all purchases that day. Using your credit card, what will you pay before tax for the $155 gift you found? Use the single equivalent discount to calculate how much you save and then calculate your final price.

LU 7-1(4) 7-24. Levin Furniture buys a living room set with a $4,000 list price and a 55% trade discount. Freight (FOB shipping point) of $50 is not part of the list price. What is the delivered price (including freight) of the living room set, assuming a cash discount of 2/10, n/30, ROG? The invoice had an April 8 date. Levin received the goods on April 19 and paid the invoice on April 25.

LU 7-1(1, 2) 7-25. DJI manufactures the Mavic Air 2 quadcopter and offered a 5/2/1 chain discount to primary customers. Drone Nerds is a primary customer and ordered 20 Mavic Air 2’s for a total $17,000 list price. What was the net price of the quadcopters? What was the trade discount amount?

How could John McFarlane use graphs to present information to the company Board of Directors?

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Raw Data.

John McFarlane works for his family company, which has sold traditional clothing from four shops in the East of Scotland since 1886. He wants to compare the performance of each shop and has collected some detailed information for the past year. Now, he wants a convenient format to present this to the company
Board of Directors. John’s problem is that he has a huge amount of data. The following table shows the number of units of five products sold each month in each of the shops. John has this kind of information for several hundred products, along with costs, profit, margins, advertising expenditure – and many other figures.

Question: How could John McFarlane use graphs to present information to the company Board of Directors?

Plot different possible sets of graphs, interpret them one by one, and provide your analysis for each graph and the story it tells.

Also, explain the whole big picture that John can illustrate to the Board of Directors through interpreting all the graphs.

Why would a vendor offer a trade discount and what is the benefit to both parties, the buyer and seller?

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Topic: Discounts: Trade and Cash

For your Main Post, address all the following in your discussion and include examples.

Why would a vendor offer a trade discount and what is the benefit to both parties, the buyer and seller?

Using either a stairway or a handicap access ramp (specific data values given), model a linear function and determine if the stairs/ramp are “up to code” based on International Building Codes (stairs) or ADA ramp requirements.

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ALGEBRA

Using either a stairway or a handicap access ramp (specific data values given), model a linear function and determine if the stairs/ramp are “up to code” based on International Building Codes (stairs) or ADA ramp requirements. [MO 4.3, MO 4.4, MO 4.6]

Option 1—Stairs

Measure the rise and run of several steps and calculate the equation of the line of the stairs.

Option 2—Ramp

Choose one from each set and post the values to the forum. You must choose a pair of values not already selected by a classmate.

Height list: 24.5, 25, 25.5, 26, 26.5, 27, 27.5, 28, 28.5, 29, 29.5

Slope ratio: 1:12, 1:12.5, 1:13, 1:13.5, 1:14, 1:14.5, 1:15

 

Assume that in the steady state the real interest rate is = 3.5% and the real growth rate is = 2%. Calculate the primary surplus that, in steady state, will deliver a sustainable debt of 99% of GDP (as in 2020). What about for a 78% debt-to-GDP ratio (as in 2016)? Explain the difference.

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PART 5

The fiscal response to the COVID crisis increased debt in many countries. As we emerge from this crisis many are worried if current debt levels are sustainable. In this exercise, we will use data from Country X to undertake a debt sustainability analysis. use the excel template provided to answer the following questions. Also copy and paste each answer onto this word document and submit as pdf

a

Assume that in the steady state the real interest rate is = 3.5% and the real growth rate is = 2%. Calculate the primary surplus that, in steady state, will deliver a sustainable debt of 99% of GDP (as in 2020). What about for a 78% debt-to-GDP ratio (as in 2016)? Explain the difference.

b

Suppose policymakers decide that the primary budget surplus (deficit) will be 1.2% from 2021 to 2030. Calculate and plot the debt dynamics given a constant real interest rate r = 3.5% and real growth rate g = 2%. Is debt sustainable under this plan? Explain how your answer compares to that of Part 1. What should the primary surplus be from 2021 to 2030 so that debt-to-GDP levels in 2030 are same as in 2016?

c

So far we have only considered the case of a constant macro variables. Assuming policymakers maintain a primary surplus of 1.2% of GDP, use the macro forecasts provided in Table 1 (and in the Excel Spreadsheet) to plot the debt dynamics for the following cases:

5% of debt is denominated in foreign currency

(ii) 30% of debt is denominated in foreign currency