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A pair of fair dice is tossed. Find the probability of getting​  at most a total of 10.


the period of the function f(x)= |cos^3 3x| is pi/3. True or false with full explanation

(A) A company's total revenues (in millions of dollars) t years from

now are predicted by R(t). Briefly explain what R(8) = 126.60

and R' (8) = 25.30 mean in the context of this question.


Lindiwe de ides that she would like to buy her daughter, Mbali, a ar when she turns 21 in six years' time. She deposits R6 000 ea h month into an a ount earning 8,94% interest per year, ompounded monthly. The amount that Lindiwe (rounded to the nearest rand) will have available six years from now is [1℄ R432 000. [2℄ R335 896. [3℄ R573 187. [4℄ R568 948


1.   A random sample of n =300 observations from a binomial population produced x=125. Estimate the population proportion and determine the standard error.


Question # 1


The following table shows the distribution of fortnightly wages (in hundreds of rupees) of 80 employees working at the site of a construction project at Karachi. Daily Wages 50 – 59 , 60 – 69 , 70 – 79 , 80 – 89 , 90 – 99 , 100 – 109 , 110 – 119


No # of workers 5 , 11 , 21 , 19 , 16 , 6, 2


a)The width of class interval


.b)The frequency of second class.


c)The lower limit of the fourth class.


d)The class boundaries of the third class.


e)The class mark of the fifth class


.f)The percentage of employees earning Rs. 90 or more.


g)The percentage of employees earning less than Rs. 90

1. Four coins are tossed. Let Z be the random variable representing the number of heads that occur. Find the values of the random variable Z. (you may extend the table or add column or row if needed)

The corona disease has been led to many deaths per week increases by 9.2% every week.Suppose this trend does not change and 82 deaths have been recorded this week.Determined the number of deaths that: a)were recorded 4 weeks ago b) will be recorded in 3 weeks time c) will be recorded in 6 weeks time





Lindiwe de



ides that she would like to buy her daughter, Mbali, a



ar when she turns 21 in six years' time.



She deposits R6 000 ea



h month into an a




ount earning 8,94% interest per year,



ompounded monthly. The



amount that Lindiwe (rounded to the nearest rand) will have available six years from now is




You volunteered to be part of the medical mission in your barangay and in-charge to get weight of the children. The weights of 1,000 children have an average of 45 kilograms and a standard deviation of 5 kilograms.





a. How many children weigh 35 kg to 55 kg?

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