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Thabi and Senzo are marking 180 scripts for grade 12.



Thabi took 3 minutes to finish 1 paper.



Senzo took 1,5 minutes to finish 1 paper.



How long will it take them to finish 180 scripts?


Assume the service life is distributed normally, a random sample of several electronic stuff with a service life (years): 6, 7, 7, 7, 6, 8, 8, 7, 6.

Does this indicate that the average lifespan of a shaker from Onix is not the same as 7

year? Do hypothesis testing with a significance level:

a. 1%

b. 5%

c. 10%


The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches. Pediatricians regularly measure the heights of toddlers to determine whether there is a problem. There may be a problem when a child is in the top or bottom 5% of heights. Determine the heights of 2-year-old children that could be a problem.


Find the solutions of xux +(y+x2)uy= u satisfying u(2,s)=s-4


You are working for a transport company and recently extracted the following data from your Transport Management System for the purpose of making forecasts for year 6. Period Actual Demand 1 200 2 212 3 214 4 222 5 236 6 ?

a) Use exponential smoothing with trend adjustment (FIT) to forecast deliveries for period 6. Let alpha (𝛼) =0.4, beta (𝛽)= 0.2, and let the initial trend value be 4 and the initial forecast be 200.

b) Use the two period moving average to calculate the forecast for periods 3 though to 6

c) Compute MAPE for the periods 3 through to 6 and comment on which method is preferred


Identify and explain types of layouts that your organisation might use when organizing their operations management functions. Show how each layout increases the efficiency of the firm.


explain and discuss the strategic importance of layout decisions in operations management.


A firm produces three products. Product A sells for N$60; its variable costs are N$20. Product B sells for N$200; its variable costs are N$120. Product C sells for N$25; its variable costs are N$10. Last year the firm sold 1000 units of A, 2,000 units of B and 10,000 units of C. The firm has fixed costs of N$320,000 per year. Calculate the break-even point of the firm


Cassidy's gross income for the year included salary, $11,400; commission, $17,720; and interest, $540. Her adjustments to income were payments to a retirement plan, $1,000 and 2 exemptions at $4,000 each. Find her taxable income.



The average number of milligrams (mg) of cholesterol in a cup of a certain brand of ice cream is 660 mg, and the standard deviation is 35 mg. Assume the variable is normally distributed.

_______3. If a sample of 10 cups of ice cream is selected, what is the probability that the mean

of the sample will be larger than 670 mg?

A.   11.84%                       B. 14.18%            C. 18.41%           D. 19.41%

_______4. If a sample of 10 cups of ice cream is selected, what is the probability that the mean

of the sample will be smaller than 625 mg?

A.   0.0008%                     B. 0.008%            C. 0.08%             D. 0.8%

_______5. If a sample of 10 cups of ice cream is selected, what is the probability that the mean

of the sample will be larger than 637 mg?

A.   91.28%                       B. 98.12%            C. 98.21%           D. 99.21%


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