A hunter is standing on flat ground between two vertical cliffs that are directly opposite one another. He is closer to one cliff than the other. He fires a gun and, after a while, hears three echoes. The second echo arrives 1.27 s after the first, and the third echo arrives 0.642 s after the second. Assuming that the speed of sound is 343 m/s and that there are no reflections of sound from the ground, find the distance (in m) between the cliffs.

Imagine you are a first year graduate student at an institution in the US. You have decided to hold a "friendsgiving" feast the weekend before Thanksgiving, including some of your classmates and friends from other departments. One of your guests, who is studying physics, asks you what the biological differences between "dark" meat and "white" meat are. Identify three differences between dark and white meat, and explain the biological significance or implication of each in 1 sentence.

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when it comes to the success of an organization or firm its extremely important to be able to predict the product demand of the current market. This calculation, if determined correct, will help to grow the firm’s business, grow their experience, also it will help them set a price for their product, so they are competitive. The firm uses this calculation to determine if the ability of their production efforts will meet the markets demand. If their calculation is positive, the firm can produce a large amount of a product which will make them successful, if they are unable to produce a product to meet the market’s demand then this will hurt their chances of receiving a large enough profit. When it comes to this calculation or demand forecasting, this process of predicting the future sales of a product is derived from data collected over the years to help the decisionmakers make the best and informed decision about the inventory, planning, and warehousing needs to promote the item to the market and towards the customer demands (Lopienski, 2019). An example of a successful demand forecasting that took place was, when a successful vehicle producing company researched and investigated their current sales of a specific vehicle. They also looking at past data of that specific vehicle and the style, model, trim, engine type, and color. After looking at the data presented by the research department the vehicle production company was able to predict the expected growth of the vehicle, along with predictions of the short-term demand of the product over the next twelve months (Oti-Yeboah, 2018). The firm used in the example was able to successfully sell their vehicle to the demanding market and then profit from the research and investigation work that took place. When it comes to estimating the product demand there are a few different factors that contribute. Passive demand forecasting is normally conducted by a business that has a good business structure and conservative growth plans. An active demand forecasting can be conducted with the purpose of diversifying the firm with an aggressive plan to grow the firm quickly in the market. Also, short-term demand forecasting can be conducted within a three to twelve-month period, here the firm will look at the data presented during all four seasons to accurately adjust for the market. The vehicle corporation was able to utilize passive, active, and short-term demand forecasting to predict the markets outcome and contribute a product in which all consumers will gravitate towards (Oti-Yeboah, 2018).

Researchers gave 40 index cards to a waitress at an Italian restaurant in New Jersey. Before delivering the bill to each customer, the waitress randomly selected a card and wrote on the bill the same message that was printed on the index card. Twenty of the cards had the message "The weather is supposed to be really good tomorrow. I hope you enjoy the day!" Another 20 cards contained the message "The weather is supposed to be not so good tomorrow. I hope you enjoy the day anyway!"

After the customers left, the waitress recorded the amount of the tip, percent of bill, before taxes. Given are the tips for those receiving the good‑weather message.

Given are the tips for the 20 customers who received the bad‑weather message.

Stemplots for both data sets are shown.

Neither stemplot suggests a strong skew or the presence of strong outliers. Because of this, t procedures are reasonable here.

Is there good evidence that the two different messages produce different percent tips?

Let μ1 be the mean tip percent when the forecast is good, and let μ2 be the mean tip percent when the forecast is bad. Select the correct hypotheses statements that we want to test.

H0:μ1=μ2 versus Ha:μ1>μ2

H0:μ1=μ2 versus Ha:μ1≠μ2

H0:μ1=μ2 versus Ha:μ1<μ2

H0:μ1≠μ2 versus Ha:μ1<μ2

What degrees of freedom (df) would you use in the conservative two‑sample t procedures to compare the percentage of tips when the forecast is good and bad? (Enter your answer as a whole number.)

df=

What is the two‑sample t test statistic (rounded to three decimal places)?

t=

Test whether there is good evidence that the two different messages produce different percent tips at α=0.1 . The null hypothesis of no difference in tips due to the weather "forecast" is

not rejected.

rejected.

Journal Entries and Trial Balance

On June 1, 2019, Kris Storey established an interior decorating business, Eco-Centric Designs. During the month, Kris completed the following transactions related to the business.

Enter the following transactions on Page 2 of the two-column journal.

Required:

1. Journalize each transaction in a two-column journal, beginning on Page 1, referring to the following chart of accounts in selecting the accounts to be debited and credited. (Do not insert the account numbers in the journal at this time.) Journal entry explanations may be omitted. For a compound transaction, if an amount box does not require an entry, leave it blank.

Problem 5-01A Sunland Hardware Store completed the following merchandising transactions in the month of May. At the beginning of May, Sunlands’ ledger showed Cash of $8,900 and Common Stock of $8,900. May 1 Purchased merchandise on account from Black Wholesale Supply for $8,900, terms 1/10, n/30. 2 Sold merchandise on account for $5,300, terms 2/10, n/30. The cost of the merchandise sold was $4,200. 5 Received credit from Black Wholesale Supply for merchandise returned $200. 9 Received collections in full, less discounts, from customers billed on May 2. 10 Paid Black Wholesale Supply in full, less discount. 11 Purchased supplies for cash $900. 12 Purchased merchandise for cash $3,900. 15 Received $230 refund for return of poor-quality merchandise from supplier on cash purchase. 17 Purchased merchandise from Wilhelm Distributors for $3,300, terms 2/10, n/30. 19 Paid freight on May 17 purchase $250. 24 Sold merchandise for cash $5,500. The cost of the merchandise sold was $4,100. 25 Purchased merchandise from Clasps Inc. for $800, terms 3/10, n/30. 27 Paid Wilhelm Distributors in full, less discount. 29 Made refunds to cash customers for returned merchandise $108. The returned merchandise had cost $94. 31 Sold merchandise on account for $1,280, terms n/30. The cost of the merchandise sold was $838.

Journalize the transactions using a perpetual inventory system. Post the transactions to T-accounts. Be sure to enter the beginning cash and common stock balances

Prepare an income statement through gross profit for the month of May 2022.

Calculate the profit margin and the gross profit rate. (Assume operating expenses were $1,428.) (Round answers to 1 decimal place, e.g. 15.5%.)

Find equations of both the tangent lines to the ellipse x2 + 9y2 = 81 that pass through the point (27, 3)

Find a primitive root for: (a) n = 18, (b) n = 50 (c) n = 27, (d) n = 625.

what are customers really willing to pay for ? where can the largest margins be achieved ? can customers easily find and purchase cheaper products and services ?

A random sample of 29 lunch customers was taken at a restaurant The average amount of time the customers in the sample stayed in the restaurant was 45 minutes with a standard deviation of 14 minutes.

a) Compute the standard error of the mean?

b) Construct a 68% confidence interval for the true average amount of time customers spent in the restaurant?

c) Construct a 90% confidence interval for the true average amount of time customers spent in the restaurant?

d) Discuss why the answers in parts (a) and (b) are different?

e) With a .95 probability, how large of a sample would have to be taken to provide a margin of error of 3 minutes or less?