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4. English words can be classified as either content/lexical words or grammatical/ functional words. State whether the following words are content/lexical words or grammatical/functional words:


a) Clean b) Because c) Student d) In e) Look

A child of mass 30 kg slides from rest down a wooden pole by a distance of 3.0. calculate the average force of friction acting on the child if her speed is 2.0 when she hits the ground


After PUBG Mobile reentered the Indian market in the form of Battlegrounds Mobile India, Byte Dance may be attempting something similar with TikTok. Byte Dance has applied for a new trademark having ‘Tick Tock’ as the wordmark with the Ministry of Commerce & Industry. Suggest a suitable promotion mix for ‘Tick Tock’


Three forces of magnitude 6N,2N,3N act on a small object in directions north,south and west respectively. Find the direction and magnitude of the resultant force.If the force to move and its mass is 0.2kg.Calculate the initial acceleration.

1. An 8.00 mg sample of an organic compound was

subjected to quantitative combustion to give 15.33 mg

of carbon dioxide and 9.36 mg of water. The

molecular weight was found to be 46. Calculate the %

composition, empirical and molecular formula of the

organic compound.


The air pressure at the base of a mountain is 75.0cm of mercury. Given that the average density of air is 1.25kg/m³ and the density of mercury is 13600kg/m³,calculate the height of the mountain. [Take g=10m/s²]

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

What percent of the area under the normal curve is between z=2.25 and





z=0.58

9. Water enters the cooling tower at 55oC and leaves at 30oC while the heat rejected to air is 120 KW. Find the capacity of the pump needed to pump the water.


Consider a population consisting of 2,6,8,0 and 1. Suppose a sample size of 3 are drawn from this population. Find the Mean and Variance of the sampling distribution of sample means.


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