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aivan3 [116]
3 years ago
5

Consider two events such that P(A)=3/4, P(B)=2/5 and P(AnB)=1/3. Are the events A and B independent?

Mathematics
1 answer:
posledela3 years ago
6 0

If P(A) times P(B) is equal to P(A n B), then that shows the events are independent. Otherwise, they are dependent. When I write "A n B", I mean "A intersect B". The intersect symbol looks similar to the lowercase letter n.

P(A)*P(B) = (3/4)*(2/5) = (3*2)/(4*5) = 6/20 = 3/10

Since that result is not the same as P(A n B) = 1/3, this means that the events are not independent. They are dependent events. The answer is choice D

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Nuetrik [128]

Answer:

1) The slope of the function g(x) is 0 and the slope of the function f(x) is -1.

2) The negative slope of the function f(x) shows that it is the line is increasing and the slope 0  of the function  g(x)  shows that the line will always have the same y-coordinate.

3) The slope of the function is f(x) is greater than the slope of the function  g(x).

Step-by-step explanation:

 For this exercise you need to know that the slope of any horizontal line is zero (m=0)

The slope of a line can be found with the following formula:

m=\frac{y_2-y_1}{x_2-x_1}

You can observe in the graph of the function  g(x)  given in the exercise, that this is an horizontal line.  Then,  you can conclude that its slope is:

m=0

The steps to find the slope of the function f(x) shown in the table attached, are the following:

- Choose two points, from the table:

(0,3) and (4,-1)

- You can say that:

y_2=-1\\y_1=3\\\\x_2=4\\x_1=0

- Substitute values into the formula m=\frac{y_2-y_1}{x_2-x_1}:

m=\frac{-1-3}{4-0}

- Finally, evaluating, you get:

m=\frac{-4}{4}\\\\m=-1

Therefore:

1) The slope of the function g(x) is 0 and the slope of the function f(x) is -1.

2) The negative slope of the function f(x) shows that it is the line is increasing and the slope 0  of the function  g(x)  shows that the line will always have the same y-coordinate.

3) The slope of the function is f(x) is greater than the slope of the function  g(x).

8 0
3 years ago
What is the equation of a line with a slope of -2 that passes through the point (6,8)
kakasveta [241]

Answer:

Step-by-step explanation:

hello :

the point-slope formula is :  

y - y_1 = m(x - x_1) the point is A(x_1 , y_1 ) , m : the slope

in this exercice :  x_1 = 6            y_1 = 8             m = -2  

so : y - 8 = -2(x - 6)   ...an equation for this line .

3 0
3 years ago
Read 2 more answers
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AURORKA [14]

Answer:

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Step-by-step explanation:

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Viefleur [7K]

Answer:

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Cerrena [4.2K]

A line means divided by

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