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3 years ago

9

Experimental Probability of Simple Events

1 answer:

r-ruslan [8.4K]3 years ago

5 0

<span>A simple event is an event where all possible outcomes are equally likely to occur. ...A set of all possible outcomes of an event is called sample space, usually represented as 'S' with curly braces { }. ...<span>This is called Experimental Probability – probability derived from a series of trials, or experiments.</span></span>

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Which equation could have been used to create this graph?

Galina-37 [17]

D

Remember starts at zero slope is up 4 right 1
Y= 4/1x+0
Y=4x

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3 years ago

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Which pair of words describes this system of equations 3y=9x-6 2y+6x=4

pishuonlain [190]

Answer:

Consistent and dependent

Step-by-step explanation:

Given

$3y = 9x - 6$

$2y + 6x = 4$

Required

The words that describe the equations

Make y the subject in (2)

$2y + 6x = 4$

Collect like terms

$2y = 4 - 6x$

Divide through by 2

$y = 2 - 3x$

Substitute: $y = 2 - 3x$ in (1)

$3y = 9x - 6$

$3(2 - 3x) = 9x - 6$

$6 - 9x = 9x - 6$

Collect like terms

$9x+9x = 6+6$

$18x = 12$

Solve for x

$x = \frac{12}{18}$

Simplify

$x = \frac{2}{3}$

Substitute $x = \frac{2}{3}$ in $y = 2 - 3x$

$y = 2 - 3*\frac{2}{3}$

$y = 2 - 2$

$y =0$

So, we have:

$x = \frac{2}{3}$ and $y =0$

<em>The system is consistent because it has at least 1 solution</em>

<em>The system is dependent because it has more than 1 solution</em>

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3 years ago

Fill in the answer.

OLEGan [10]

Answer:

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Step-by-step explanation:

Just follow the equation left to right

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3 years ago

Consider that X=3/4 and y=1/2 which statement is true about X plus Y

ipn [44]

Answer:

1 and 1/4

Step-by-step explanation:

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3 years ago

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What is the solution of the system of equations? -4x+3y=-12 -2x+3y=-18

Kisachek [45]

Answer:

Step-by-step explanation:

I've enclosed a graph to show you that there is one solution.

-4x + 3y = - 12

<u>- 2x + 3y = - 18</u><em><u> </u></em><em> </em>Subtract

-2x = 6 Divide by - 2

-2x/-2 = 6/-2

x = - 3

- 4x + 3y = - 12

-4(-3) + 3y = - 12

12 + 3y = - 12

3y = - 12 - 12

3y = - 24

3y/3 = - 24/3

y = - 8

Which is exactly what the graph shows.

You can tell immediately that this has 1 or more solutions just by looking at the number in front of x and y in each each equation.

It's always a good idea to graph a question like this one. Desmos is a pretty good tool to use if you don't have a graphing calculator.

The y's are the same so you are 1/2 way home in saying what you did.

The x's are different so that means you have at least 1 solution.

7 0

3 years ago