Suppose there are two sets of letters D1 and D2 stored on two nodes A1 and A2: • D1 = {“a”, “b”, “c”, “b”, “c”, “d”, “a”} on Node A1, and • D2 = {“a”, “a”, “a”, “d”, “d”, “c”} on Node A2. There is a MapReduce job running to process D1 and D2. The job is a “get average” application, namely, computing the average number of copies for each letter. In this job, two Map tasks run on Node A1 and Node A2, and one Reduce task runs on another node, say, Node A3. Describe the key-value data transferred from Node A1 and Node A2 to Node A3, respectively, with and without a Combiner, respectively. Explain how a Combiner can improve a MapReduce job in this example.

juhania runs a manufacturing plant for the production of one of its products – the Fizzberry. The budget expects production and sales of 8,000 units per month

. Direct materials standard costs per unit;

•Fizz 0.2kg at £10 per kg

•Berries 4kg at £1.10 per kg

The following data has been collected for April 2020:Actual materials used

;•1,440kg of Fizz at a total cost of £13,824

•24,000kg of berries at a total cost of £21,600•

The output was 7,000 units of Fizzberry There was no work in progress

Calculate the direct materials price and usage variances for April for Fizz.

b) Calculate the direct materials price and usage variances for April for Berries

.c) Calculate the total usage variance for April.

d) Calculate the total direct materials mix and yield variances for April.

e) Analyse the results of your calculations.

d) The current price for berries is currently 80pence per kilo. This change in price has occurred due to a change in import taxes which the business had not been informed about when the original standards were set. Critically evaluate the usefulness of standard costing for control purposes in this situation.

I chose the temperature of New Jersey in two different months as below, I need to calculate mean, median, mode, and range for each group. Find the variance and standard deviation for each group. Find the 95% confidence interval the mean of each group and test the hypothesis that the means are different (.05 significance)

I chose the temperature of New Jersey in two different months as below, I need to calculate mean, median, mode, and range for each group. Find the variance and standard deviation for each group. Find the 95% confidence interval the mean of each group and test the hypothesis that the means are different (.05 significance)

McDonald’s runs two business models. Some McDonald’s restaurants are wholly-owned and operated by the parent company, while some McDonald’s restaurants follow a franchise model i.e. the parent company charges a franchise fee and the restaurant is then independently owned and operated by the franchise owner. Empirical evidence suggests that McDonald's restaurants that are wholly-owned by the parent company (the first type described above) charge lower prices than the prices charged by independent franchises of the company (the second type described above). How can this difference in prices charged be explained?

Learnfast Executive Education runs two-day courses at various sites in the country. It
charges each participant $500 for a course. Learnfast’s costs are as follows:
i. cost to add an additional participant to a scheduled course: $100
ii. cost to add an additional course at any given existing site: $4,000
iii. monthly operating cost for an additional site for courses: $10,000
The cost of (iii) excludes the costs of (i) & (ii); the cost of (ii) excludes the cost of (i).
Required. Assuming no taxes, answer the following:
a. If Learnfast adds one more course to a given site, how many participants must be
registered for the course to break-even?
b. If Learnfast adds a new site, how many courses per month need to be offered to
break-even? Assume courses will have 15 participants each.
c. Continuing to assume that courses will have 15 participants each, how many
courses must be run at the new site for it to generate monthly NI of $10,000?
Assume there are no taxes.
d. What is the Degree of Operating Leverage at the new site assuming it runs the
number of courses in your answer to part (c)? Assume there are no taxes.

The town of Ballymarcove has three mobile phone providers ONE, TWO and THREE and every resident of Ballymarcove is a customer of exactly one provider. • Every year 10% of ONE customers switch to TWO and 20% switch to THREE (with 70% remaining with ONE). • Every year 30% of TWO customers switch to ONE and 20% switch to THREE (with 50% remaining with TWO). • Every year 30% of THREE customers switch to ONE and 30% switch to TWO (with 40% remaining with THREE). (a) [9 marks] Write down the transition matrix for this Markov process. (b) [8 marks] Explain why the transition matrix has 1 as an eigenvalue. (c) [8 marks] TWO is a relative newcomer to Ballymarcove and in the long term it aims to have a third of the market. Currently ONE has 60% of the market, TWO has 10% and THREE has 30%. If current trends continue, can TWO expect to achieve their aim?

The following data shows the number of home runs hit by the top 7 home run hitters in Major League Baseball during the 2011 season.

43 41 39 39 38 37 37

The lower limit for determining outliers for a box and whisker plot is_____.

In an arithmetic gradient series cash flow shown below, determine the present worth in year 0 for i =8% per year, A1=50 , and A2=170.

The table below reports the ages (in years) and the number of hours of sleep in one night by seven adults.

Age,x                  35      20   59    42   68   38  75

Hours of sleep, y   7       9      5     6     5    8      4

? = 7, ∑ ? = 337, ∑ ? 2 = 18563, ∑ ? = 44, ∑ ? 2 = 296 , ∑ ? ? = 1916

a. Find the coefficent of correlation between ? ??? ? and interpret its meaning in the context of the problem.

b. Conduct a test at 5% level of significance to determine whether hours of sleep (?) is linearly related with age (?).

c. Find the equation of the regression line between ? ??? ?.

d. Can you use the equation in part (c) to predict ? when ? = 10? Why or why not?