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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.

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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!

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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}

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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}

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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.

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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.

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Is the Fibonnaci sequence rising faster than the exponential function?

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Is the Fibonnaci sequence rising faster than the exponential function?

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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 ?

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 ?