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aalyn [17]
3 years ago
5

You roll a six-sided number cube and flip a coin.What is the probality of rolling a number less than 2 and flipping heads

Mathematics
1 answer:
nalin [4]3 years ago
4 0

Answer:

1 / 12

Step-by-step explanation:

A six - sided coin :

Sample space = (1, 2, 3, 4, 5, 6)

Flipping a number less Than 2

Required outcome = (1)

P(number less Than 2) = required outcome / sole space = 1 / 6

Flipping a head from a coin toss :

Sample space = (H, T)

P(head) = 1 /2

P(number less Than 2 and flipping head) :

= 1/2 * 1 /6

= 1 / 12

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3 years ago
Find an equation of the line in the form ax+by=c whose​ x-intercept is 12 and​ y-intercept is 4​, where​ a, b, and c are integer
Lostsunrise [7]

Answer:

The equation of the line  in ax+by=c  form where a,b,c  are integers with no factor common to all​ three, and greater than or equal 0 is:

x+3y=12

Step-by-step explanation:

Given:

x-intercept = 12

y-intercept = 4

To find the equation of line in the form ax+by=c where a,b,c  are integers with no factor common to all​ three, and greater than or equal 0.

Solution:

The x-intercept is the point at which the line cuts the x-axis. The point of x-intercept is given as (x,0)

Thus, on point of the line is (12,0)

The y-intercept is the point at which the line cuts the y-axis. The point of y-intercept is given as (0,y).

Thus, on point of the line is (0,4)

Using the two points we can find the slope of the line using the slope formula.

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

So, slope of the line can b given as:

m=\frac{4-0}{0-12}

m=\frac{4}{-12}

m=-\frac{1}{3}

The slope intercept form of the equation of he line is given as:

y=mx+b

where m represents slope of the line and b represents the y-intercept.

So, the equation of the line can be given as:

y=-\frac{1}{3}x+4

Multiplying each term by 3 to remove fraction.

3y=3.-\frac{1}{3}x+4(3)

3y=-x+12

Adding x both sides.

3y+x=-x+x+12

3y+x=12

Thus, the equation of the line  in ax+by=c  form where a,b,c  are integers with no factor common to all​ three, and greater than or equal 0 is:

x+3y=12

8 0
3 years ago
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