On March 11, 2011, Japan suffered an earthquake and tsunami that caused a disastrous accident at the Fukushima nuclear power plant. Among many other results, amounts of iodine-131 that were 27 times the government limit were found in a sample of spinach 60 miles away.† Now, 27 times the government limit of iodine-131 is 54 thousand becquerels per kilogram.† The following table shows the amount I, in thousands of becquerels per kilogram, of iodine-131 that would remain after t days.

(a)

Show that the data are exponential. (In this part and the next, round to three decimal places.)

Because t increases by 1 each time, to show that the data are exponential, we must show that the successive ratios (rounded to three decimal places) are the same. Because all of the ratios are equal to  , the data are exponential.

(b)

Find an exponential model I that shows the amount of iodine-131 present after t days.

I(t) =

(c)

How long will it take for the amount of iodine-131 to fall to the government limit of 2 thousand becquerels per kilogram? Round your answer to the nearest whole day.

days

Reflector Glass Company prepared the following static budget for the​ year:

If a flexible budget is prepared at a volume of

8 comma 9008,900

​units, calculate the amount of operating income. The production level is within the relevant range.

A.

$ 4 comma 000$4,000

B.

$ 17 comma 000$17,000

C.

$ 13 comma 350$13,350

D.

$ 27 comma 150$27,150

With referring to the basic accounting equation: Assets = Liabilities + Owner’s Equity, determine the effect of the following transactions to the equation.  

Exercise 1:

The following table shows the total utility or the marginal utility of three commodities, which are apples, grapes, and dates. If the price of apples is 10 riyals, the price of grapes is 2 riyals, the price of dates is 8 riyals, and you as a consumer have an income of 74 riyals, using the terms of the consumer's balance to achieve the greatest benefit, I find the following: -

1) Complete the table by calculating the missing data in the table.
2) Find the optimum quantity that each commodity should consume for the greatest utility.
3) Calculate the maximum total utility that you can obtain from your consumption of optimal quantities of the three commodities.

The excel data file named “Family-Residences Data” (posted in the content area under Week IX) presents the sale price y (thousands), square footage (x₁), number of rooms (x₂), number of bedrooms (x₃), and age (x₄) for each of 63 single-family residences sold in Oxford, Ohio. Use any software of your choice to conduct a multiple regression analysis for this data set. Use the result of this analysis to answer the questions below.

1. Write a regression model that relates the dependent variable to the independent variables.

2. Interpret the error term in this model. What does it represent?

3. Identify the least squares point estimates of b₀, b₁, b₂, b₃, and b₄ from your software output. Approximate these to four decimal places when necessary.

4. Write a multiple regression equation that relates sale price to square footage, number of rooms, number of bedrooms, and age.

5. Does the model explain a substantial portion of the variability in sale prices? Explain.

6. Do the signs and magnitudes of the estimated coefficients appear to be reasonable? Explain.

7. Write the multiple regression hypotheses to be tested.

8. Use F test to test the adequacy of the model with a = .05. Interpret the result of this test.

9. Use the p-value from your software output to test the importance of each of the independent variables x₁, x₂, x₃, and x₄ at a= .05. Which variables are not important? Explain.

10. Use the residential sales estimated equation to predict sales price of a residence that has 1700 square feet, seven rooms, and three bedrooms and is 15 years old.

a.  Suppose that 33% of American CEO's are women. Furthermore, suppose that 17% of American CEO's are women under the age of 40. Given that a randomly selected American CEO is a woman, what is the probability that she is under the age of 40?

Round your answer to three decimal places.

Probability =

b. The probability that the head of a U.S. household has a life insurance policy is 0.640. Moreover, the probability that the head of a U.S. household has a life insurance policy and is over the age of 50 is 0.400. Given that a randomly selected head of a U.S. household has a life insurance policy, what is the probability that he/she is over the age of 50?

Round your answer to three decimal places.

Probability =

c. Suppose that 33% of customers purchase peanut butter during a particular trip to the grocery store. Furthermore, 18% of grocery store customers purchase both peanut butter and jelly. Given that a random grocery store customer purchases peanut butter, what is the probability that he/she also purchases jelly during this trip?

Round your answer to three decimal places.

Probability =

d. In a particular convenience store, the probability that a customer will purchase beer is 0.380. Moreover, given that the customer has purchased beer, the probability that he/she will purchase pretzels is 0.280. What is the probability that a random customer in this convenience store will purchase beer and pretzels together?

Round your answer to three decimal places.

Probability =

23. a. Suppose that 42% of American CEO's are women. Furthermore, suppose that 24% of American CEO's are women under the age of 40. Given that a randomly selected American CEO is a woman, what is the probability that she is under the age of 40?

Round your answer to three decimal places. Probability = ????

b. The probability that the head of a U.S. household has a life insurance policy is 0.510. Moreover, the probability that the head of a U.S. household has a life insurance policy and is over the age of 50 is 0.420. Given that a randomly selected head of a U.S. household has a life insurance policy, what is the probability that he/she is over the age of 50?

Round your answer to three decimal places. Probability = ????

c. Suppose that 21% of customers purchase peanut butter during a particular trip to the grocery store. Furthermore, 19% of grocery store customers purchase both peanut butter and jelly. Given that a random grocery store customer purchases peanut butter, what is the probability that he/she also purchases jelly during this trip?

Round your answer to three decimal places. Probability = ????

d. In a particular convenience store, the probability that a customer will purchase beer is 0.360. Moreover, given that the customer has purchased beer, the probability that he/she will purchase pretzels is 0.200. What is the probability that a random customer in this convenience store will purchase beer and pretzels together?

Round your answer to three decimal places. Probability =????

2. Dee Pressants owns Dee’s Pharmacy located in a small medical office building. Dee estimates that 20% of her prescription business comes from referrals from Dr. Mel Practice. For the next 25 prescription customers, what is the probability that a. 6 or less were referred by Mel? b. Between 3 and 6 were referred by Mel? c. At least 4 were referred by Mel? d. Exactly 5 were referred by Mel? e. Dee makes $10 profit per prescription but has to pay Mel a $3 kickback on any referrals. What is the expected profit from the 25 customers?

Use R to answer the following question. Copy and paste the code and answer from R into your paper.

On the average,five cars arrive at a particular car wash every hour. Let X count the number of cars that arrive from 10 AM to 11 AM. Then X ∼pois(lambda = 5). Also, μ = σ2 = 5.
 What is the probability that no car arrives during this period?
 Suppose the car wash above is in operation from 8AM to 6PM, and we let Y be the number of customers that appear in this period. Since this period covers a total of 10 hours. What is the probability that there are between 48 and 50 customers, inclusive?

Greg’s Bicycle Shop has the following transactions related to its top-selling Mongoose mountain bike for the month of March. Greg's Bicycle Shop uses a periodic inventory system.

Required:

1. Calculate ending inventory and cost of goods sold at March 31, using the specific identification method. The March 5 sale consists of bikes from beginning inventory, the March 17 sale consists of bikes from the March 9 purchase, and the March 27 sale consists of four bikes from beginning inventory and eight bikes from the March 22 purchase.

2. Using FIFO, calculate ending inventory and cost of goods sold at March 31.

3. Using LIFO, calculate ending inventory and cost of goods sold at March 31.

4. Using weighted-average cost, calculate ending inventory and cost of goods sold at March 31. (Round your intermediate and final answers to 2 decimal places.)

5. Calculate sales revenue and gross profit under each of the four methods.(Round weighted-average cost amounts to 2 decimal places.)