13 A man travels x km at 60 km/h and y km 1 40 km/h and takes 2 hours for the journey. If the time taken to travel 5x km at 40 km/h and 3y km at 50 km/h is 11 hours 42 minutes, find x and y. y

Q: Find a11 of A-1 Find a12 of A-1

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Q: 3 1 If A-1 find A. 4 2 II

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Q: Multiple and simplify    6y²/14 xy      •    7xy/4x²

A: Multiplication of ( 6y²/14 xy ) and ( 7xy/4x² ). ( 6y²/14 xy ) × ( 7xy/4x² ) = {(6y²) × ( 7xy)}/…

Q: Simplify.2 Express 0(3n° – 2n² + n) n) as:

A: Given that O(3n^3 - 2n^2 + n)

Q: 31/2 / 1/2

A:

Q: antip . Prove that 4" -3"-7 is a multiple of 84 for each positive even m.

A:

Q: Determine a conclusion. Choose the correct answer below. the null hypothesis. There is difference…

A: That is, there is no evidence to conclude that there is significant difference between the two…

Q: [0 0 -9 3 y

A: Given,           0-93 xyz

Q: ant

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Q: Find x if x is not -6, and 9/12 = 5/(6+x). ______________

A: The equation 912=56+x

Q: 8 Evaluate for (3x² -7x+4

A: We have to use the concept of derivatives

Q: Find the exact value of x. 9V2 9V2

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Q: [-1 ] 5 8 1,

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Q: an = an -a t an -z and a,=3,az =9 az= as =

A: Given :

Q: Find £-¹{ g²-6s+13} 1 S L

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Q: - 14 2 Let B = Find B. 6 0

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Q: Simplify. [21 -28] 70 -35

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Q: Simplify.Express answers as positive exponents.

A:

Q: Evaluate. 12 6e* dx J6

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Q: Given the following set of data, determine the mode. 1, 2, 3, 4, 5, 4, 3, 2, 1, 0, 1

A: In the given set of data, the number that occurs the highest number of times is called Mode.

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.