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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




How much is the net loss of the insurance company from a policyholder if his family will avail of the insurance benefits

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?

Let fn(x)= n/(x+2n) is uniformly convergent in [0,k] , k>0

a nominal interest rate of 19,40% per year, compounded monthly, is equivalent to a continuous compounding rate of


The average length of time for students to enroll has been 50 minutes. If a random sample of 12 students incurred an average enrolment time of 42 minutes with a standard deviation of 11.9 minutes under a new enrolment system, test the hypothesis that the population mean is now less than 50 using a 0.05 level of significance. Assume that the length of time of the population is normal.


Check whether the function f given by



f(x)=1/(2x-4)^2 ∀x∈]-2,2[



Is continuous in the interaval ]-2,2] but not bounded in the interval (-2,2)

Use Weierstrass’ M-Test to prove that the series


Infinity


∑ n^2x^n


n=1


converges uniformly in the interval [0,1/5]

The shelf life of particular dairy products is normally distributed with u of 12 days and o of 3 days .



a. About what percent of the products last between 9 and 15 days?



b. About what percent of the products last 6 days or less



c. If a delivery of dairy products weigh 320 kg. , how many kilograms is expected to last beyond 10 days

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