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babymother [125]
3 years ago
6

Compare the difference between an independent event and a dependent event

Mathematics
1 answer:
Vladimir79 [104]3 years ago
5 0

Independent/Dependent Events. Two events are independent if the result of the second event is not affected by the result of the first event. If and are independent events, the probability of both events occurring is the product of the probabilities of the individual events.


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Which of the following shows a 60 degree counterclockwise rotation of Figure A using center P?​
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Line 1 passes through the points -2,7 and 3,3. Line 2 passes through the points 5,1 and 9,1. Find the slope of each line. Which
RSB [31]

Answer:

The slope of the given line 1 is  -4/5.

The slope of the given line 2 is  0.

The line 2 has a greater slope then line 1.

Step-by-step explanation:

The slope of a line with points (x1,y1) and (x2,y2) is given as:

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

Now, Here the, points of the line 1 are A (-2,7) and B (3,3)

So, here, the slope of line AB  is m = \frac{3 -7}{3-(-2)}  = \frac{-4}{3 +2} =   \frac{-4}{5}

Hence, the slope of the given line 1 is  -4/5.

Now, Here the, points of the line 2 are P (5,1) and Q (9,1)

So, here, the slope of line PQ  is m = \frac{1-1}{9-5}  = \frac{0}{4} =   0

Hence, the slope of the given line 2 is  0.

Now, as we can see  0    >  ( -4 / 5)

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3 years ago
Find the point of diminishing returns (x comma y )for the function​ R(x), where​ R(x) represents revenue​ (in thousands of​ doll
riadik2000 [5.3K]

Complete Question

The complete question is shown on the first uploaded image  

Answer:

The point of diminishing returns (x , y ) is  (11, 21462)

Step-by-step explanation:

From the question we are told that

     The function is  R(x) =  10,000 -x^3 - 33x^2 + 800x ,  \ \ 0 \le x \le 20

Here R(x)  represents revenue (in thousands of​ dollars) and  x  represents the amount spent on advertising​ (in thousands of​ dollars).

           Now  differentiating  R(x) we have  

               R'(x) =  -3x^2 +66x + 800

Finding the second derivative of R(x)

              R''(x) =  -6x +66

at  inflection point    R''(x) =  0

    So      -6x  +66  = 0

=>           x=  11

    substituting value of x into R(x)

     R(x) =  10,000 -(11)^3 - 33(11)^2 + 800(11) ,

      R(x) = 21462

Now the point of diminishing returns (x , y ) i.e (x , R(x) ) is

     (11, 21462)

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How do you write 18/40 in a decimal
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0.45 you divide them

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