The question is in the attachment.

Mathematics

1 answer:

Vesna [10]3 years ago

8 0

Answer:

0.0816

Step-by-step explanation:

Given:

Total number of students = 5000
Number of students taking an online class = 1200
Number of students prefer watching baseball to football = 1700

Let O = Students taking an online class

Let B = Students prefer watching baseball to football

Therefore,

P(O) = 1200/5000 = 0.24

P(B) = 1700/5000 = 0.34

If events O and B are independent,

⇒ P(O ∩ B) = P(O) · P(B)

= 0.24 × 0.34

= 0.0816

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3(4-2x)=-2x<br> will make brainiest to the first two people that answer correctly with explanation

ASHA 777 [7]

Answer:

x = 3

Step-by-step explanation:

First, distribute 3 into the parenthesis:

3(4 - 2x) = -2x

12 - 6x = -2x

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12 - 6x = -2x (-6x and +6x cancel out)

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Find an equation of the line passing through the pair of points. Write the equation in the form Ax +By = C.

Alexxandr [17]

9514 1404 393

Answer:

5x -y = -37

Step-by-step explanation:

One way to find the coefficients A and B is to use the differences of the x- and y-coordinates:

A = Δy = y2 -y1 = 2 -(-3) = 5

B = -Δx = -(x2 -x1) = -(-7 -(-8)) = -1

Then the constant C can be found using either point.

5x -y = 5(-7) -2 = -37

The equation of the line is ...

5x -y = -37

_____

<em>Additional comment</em>

This approach comes from the fact that the slope of a line is the same everywhere.

$\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{\Delta y}{\Delta x}\\\\\Delta x(y-y_1)=\Delta y(x-x_1)\qquad\text{cross multiply}\\\\\Delta y(x-x_1)-\Delta x(y-y_1)=0\qquad\text{subtract y term}\\\\\Delta y(x) -\Delta x(y) = \Delta y(x_1)-\Delta x(y_1)\qquad\text{Ax+By=C form}$