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1.    The manager of a supermarket collected the data of 25 customers on a certain date. Out of them 5 purchased Biscuits, 10 purchased Milk, 8 purchased Fruits, 6 purchased both Milk and Fruits.

Let B represents the randomly selected customer purchased Biscuits, M represents the randomly selected customer purchased Milk and F represents the randomly selected customer purchased Fruits.

Represent the given information in a Venn diagram. Use that Venn diagram to answer the following questions.

a)       Find the probability that a randomly selected customer either purchased Biscuits or Milk.

b)      Show that the events “The randomly selected customer purchased Milk” and “The randomly selected customer purchased Fruits” are independent.



I need help in kinematics problem that requires mathematical programming. I'm not able to attach here image or doc. Kindly share with me your whatsapp number. Thank you!




Assume that two matrices A, B are invertible. With the help of Mathematica show with one counterexample that (A B)-1 is not equal to A-1 B-1

 

6. Assume that two matrices A, B are invertible. With the help of Mathematica show with one counterexample that (A B)-1 is not equal to A-1 B-1


For short listing of the candidates for a job in a company in different sections based on 

the cumulative percentage of the following fields.

• If cumulative percentage is more than 80% then hire in HR department.

• If cumulative percentage is less than 80% and greater than 70% then hire in 

accounts department.

• If cumulative percentage is less than 70% and greater than 60% then hire in 

sales department.

• If cumulative percentage is less than 60% and greater than 50% then hire in 

helping staff.

The cumulative percentage will be calculated as 60% of the marks obtained in test 

conducted by the company and 40% of obtained marks in interview. Total marks for the 

test and interview is 200 each. Write a computer program to construct a function with 

name “Selection” to calculate the cumulative percentage and then display the message 

in which section the candidate is selected.



For short listing of the candidates for a job in a company in different sections based on 

the cumulative percentage of the following fields.

• If cumulative percentage is more than 80% then hire in HR department.

• If cumulative percentage is less than 80% and greater than 70% then hire in 

accounts department.

• If cumulative percentage is less than 70% and greater than 60% then hire in 

sales department.

• If cumulative percentage is less than 60% and greater than 50% then hire in 

helping staff.

The cumulative percentage will be calculated as 60% of the marks obtained in test 

conducted by the company and 40% of obtained marks in interview. Total marks for the 

test and interview is 200 each. Write a computer program to construct a function with 

name “Selection” to calculate the cumulative percentage and then display the message 

in which section the candidate is selected.


Is the Fibonnaci sequence rising faster than the exponential function?
Is the Fibonnaci sequence rising faster than the exponential function?
I'm trying to evaluate the limit :::::
Limit[(sqrt[t^2 + 9] - 3)/(t^2), t -> 0]

When i click "evaluate cell" Mathematica outputs :::::

\!\(\*UnderscriptBox[\(\[Limit]\), \(t \[Rule] 0\)]\) (-3 +
sqrt[9 + t^2])/t^2

which is the same thing as what I typed in only in a slightly different order (essentially the same thing i typed in) what am i doing wrong ?
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