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3 years ago

Brian rolls a fair dice 12 times. How many times would Brian expect to roll a number greater than 4?

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

5 0

Answer:

Numbers greater than 4 are 5 and 6

So we have 2 numbers out of 6 numbers so the probability is equal to 2/6 = 1/3

And 1/3 of 12 is equal to 4

So Brian expect to roll a number greater than 4,

Four times.

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Answer:

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Step-by-step explanation:

step 1

Find the equation of the first inequality

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The formula to calculate the slope between two points is equal to

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we have

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substitute

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Remember that

Everything to the left of the solid line is shaded

The inequality is

$y\geq x-2$

step 2

Find the equation of the second inequality

Find the equation of the second dashed line

we have the ordered pairs

(0,2) and (4,0)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{0-2}{4-0}$

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$m=-\frac{1}{2}$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=-\frac{1}{2}$

$b=2$ ---> the y-intercept is given

substitute

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Remember that

Everything below and to the left of the line is shaded

The inequality is

$y$

Rewrite

Multiply by 2 both sides

$2y$

$x+2y$

therefore

The system of inequalities is

$y\geq x-2$

$x+2y$

see the attached figure to better understand the problem

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