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Eva8 [605]
1 year ago
9

X+3y=6 solve slope intercept

Mathematics
1 answer:
vovangra [49]1 year ago
8 0

The equation of the line in the slope-intercept form is y = -1/3(x) + 2.

The slope of the line is -1/3 and the y-intercept is 2

From the question, we are to determine the slope and the intercept of the given equation.

The given equation is

x + 3y = 6

Rewrite the equation in the slope-intercept form of the equation of a line

Rewriting in slope-intercept form

x + 3y = 6

3y = -x + 6

y = -1/3(x) + 2

Compare with the general form of the slope-intercept form of a line

y = mx + b

where m is the slope

and b is the y-intercept

By comparing

m = -1/3

b = 2

Therefore,

Slope, m = -1/3  

y-intercept, b = 2

Learn more on Slope-intercept form of a line here: brainly.com/question/1884491

#SPJ1

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Step-by-step explanation:

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What are the coordinates of the red dot?
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3 0
2 years ago
A lottery consists of one $2000 winner, three $500 winners, and ten $100 winners. a total of 1000 tickets are sold for $10 each.
Semenov [28]

Answer: -5.5

 

WOKINGS

Given that the lottery has the following number of winners:

One $2000 winner

Three $500 winners

Ten $100 winners

 

Also Given,

A total of 1000 tickets are sold

Each ticket costs $10

 

The expected winning for a person purchasing one ticket is the sum of the products of the gain/loss and their corresponding probability.

 

There is one $2000 winner

There are 1000 tickets

The probability of winning $2000

= 1/1000

= .001

There are three $500 winners

There are 1000 tickets

The probability of winning $500

= 3/1000

= .003

 


There are ten $100 winners

There are 1000 tickets

The probability of winning $100

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Since each ticket costs $10

Everyone who buys a ticket automatically loses $10.

Therefore, the probability of losing $10 is 1

 

Now to calculate the expected winning for a person purchasing one ticket

= 2000(.001) + 500(.003) + 100(.01) – 10(1)

= 2 + 1.5 + 1 – 10

= -5.5

 

The expected winning is -5.5. This implies that a person playing this lottery can expect to lose $5.50 for every one ticket that they purchase. 

7 0
3 years ago
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