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a random sample of size n 16 is drawn from a normally distributed population. the sample mean is 98 with known standard deviation of 5. Construct a 98% confidence interval for the population mean.


In a university, only 3 subjects are taught viz: English, Mathematics, and Science

you are given 7 integers A, B, C, D, E, F, and G

A denotes the number of students studying English

B denotes the number of students studying Maths

C denotes the number of students studying Science

D denotes the number of students studying English & Science

E denotes the number of students studying Maths & English

F denotes the number of students studying Maths & Science

G denotes the total number of students

You are to write a function, that given A, B, C, D, E, F, and G, returns the number of students studying all 3 subjects.


Thank you in anticipation.


Water is being poured at the rate of 15cm3/sec into an inverted cone with a diameter of 3m and a 

height of 6m. At what rate is the surface rising just as the tank is filled?


A trough is 75cm long and its ends in the form of an isosceles triangle have an altitude of 20cm 

and a base of 30cm. Water is flowing into the trough at the rate of 100cm3/sec. Find the rate at 

which the water level is rising when the water is 10cm deep?


A trough is 75cm long and its ends in the form of an isosceles triangle have an altitude of 20cm 

and a base of 30cm. Water is flowing into the trough at the rate of 100cm3/sec. Find the rate at 

which the water level is rising when the water is 10cm deep?


Compare the role of the life skills teacher with that of a normal class teacher


Two point charges are placed as follows: charge q1 = -1.50 nC is at y = +6.00 m and charge q2 = +3.20 nC is at the origin. What is the total force (magnitude and direction) exerted by these two charges on a negative point charge q3 = -5.00 nC located at (2.00 m, -4.00 m)?





What is the probability that the businessman will contribute a sack of rice between 105 sacks to 145 sacks


An educational institution wishes to maintain a database of its employees. The database is divided into a number of classes whose hierarchical relationships are shown in the below figure. The figure also shows the minimum information required for each class. Specify all the classes and define methods to create a database and retrieve individual information as and when required


What are examples of technology that are used to improve the availability of information to the learners?

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