A group of people were asked what they drink during the day. They were asked whether they drink coffee, drink water, drink both coffee and water, or drink neither coffee nor water. The table shows the probabilities of the results. Drink coffee Do not drink coffee Total Drink water 0.3 0.24 0.54
Do not drink water 0.25 0.21 0.46 Total 0.55 0.45 1.00

Let A represent drinking coffee and B represent drinking water.

Which statement is true?

Drinking coffee and drinking water are not independent events because P(A|B)≠P(A)and P(B|A)≠P(B).

Drinking coffee and drinking water are not independent events because P(A|B)=P(A) and P(B|A)=P(B).

Drinking coffee and drinking water are independent events because P(A|B)≠P(A) and P(B|A)≠P(B) .

Drinking coffee and drinking water are independent events because P(A|B)=P(A)and P(B|A)=P(B).

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Ответ:

kajjumiaialome

30.03.2023

Mathematics

-The greatest common factor of $60x^4y^7,45x^5y^5,\text{ and }75x^3y$ = 15x^3y

Explanation:-

Given algebraic expressions: $60x^4y^7,45x^5y^5,\text{ and }75x^3y$

Rewrite the expressions , using prime factorization method.

$60x^4y^7=15\times4\times\ x^3\times\ x\times\ y\times\ y^6\\45x^5y^5=15\times3\times\ x^3\times\ x^2\times\ y\times\ y^4\\75x^3y=15\times5\times\ x^3y$

We can see 15 is the common coefficient,and x^3y is the common factor in the expressions

⇒The greatest common factor of $60x^4y^7,45x^5y^5,\text{ and }75x^3y$ = 15x^3y

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