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Write these expanded forms as whole numbers.



b) 3000 000 000+800 000 000+30 000 000+1 000 000+700 000+40 000+2000 +900 +6


Write these expanded forms as whole numbers.





a)1 000 000 000 +700 000 000+20 000 000 +4 000 000+600 000 +90 000+5000 +800 +30 +1






in grading of plums whose weights are normally distributed,20% are small, 55% are medium, 15% are large and 10% are very large. if the mean weight of all plums is 5gms with a standard deviation of 1.2 gms what are upper and lower bounds for each category?

If X and Y are independent Poisson variates with mean lambda 1 and lambda 2 respectively, find the probability that x+y=k

(D^2-3D+2)y=e^x/1+e^x

(D^2-3D+2)y= e^x/1+e^x

Determine the value of a and b so that lim(x→0) (asin2x-bsinx/x³)=1


According to a dietary study, a high sodium intake may be related to ulcers, stomach cancer, and migraine



headaches. The human requirement for salt is only 220 milligrams per day, which is surpassed in most single



servings of ready-to-eat cereals. If a random sample of 15 similar servings of certain cereal has a mean sodium



content of 244 milligrams and a standard deviation of 24.5 milligrams, does this suggest at the 0.05 level of



significance that the average sodium content for a single serving of such cereal is greater than 220 milligrams?

If a courier guy has to deliver 9 parcels in the same area in a day, in how many possible ways can he deliver them?


Six types of workers are employed in each of the two workshops but at different rates of wages as follows Type of worker Workshop A Rate of wages per worker Rupees Mechanic Fitter Electrician Carpenter Smith Clerk 2 250 350 400 300 300 200 14 20 Workshop B No of workers No of workers Rate of wages per worker Rupees 300 18 300 50 425 7 350 12 10 6 350 1 500 2 In which of the workshop is the overall role Wages per worker higher by how much?


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