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3 years ago

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A 10-sided fair die, a 20-sided fair die, and a 12-sided fair dice are rolled. What is the probability of all three happening: S

howing 8 on the first die Showing either 19 or 20 on the second die Showing an odd number on the third die

1 answer:

Murrr4er [49]3 years ago

8 0

Answer:

0.5%

Step-by-step explanation:

The number of faces of each die what it indicates is the total number of events.

On the first die, it has 10 sides and an 8 must come out, that is, 1 event out of 10 possible, therefore the probability is:

1/10

On the second die, which has 20 sides, 19 or 20 can come out, that is 2 events out of 20 possible, so the probability is:

2/20

And on the third die, which is 12 sides, they tell us that an odd number can come out, the odd numbers would be 1, 3, 5, 7, 9, 11; that is, 6 events out of 12 possible, the probability would be:

6/12

Now the final probability would be the product of all:

(1/10) * (2/20) * (6/12) = 0.005

In other words, the probability of this happening is 0.5%

You might be interested in

1.62 divided by 0.27

Dominik [7]

Answer:

it is 6

Step-by-step explanation:

i did this in one of my test so i know its right also because i doulbe checked it.

6 0

4 years ago

What is the product if a-3 and -2a^2+15a+6b2

Ierofanga [76]

The product if a-3 and -2a^2+15a+6b^2 is: $-2a^3+21a^2+6ab^2-45a-18b^2$

Step-by-step explanation:

In order to find the product of 2 expressions, distributive property can be used.

Given expressions are:

$a-3\\and\\-2a^2+15a+6b^2$

Product of given expressions

$= (a-3)(-2a^2+15a+6b^2)\\= a(-2a^2+15a+6b^2)-3(-2a^2+15a+6b^2)\\= -2a^3+15a^2+6ab^2+6a^2-45a-18b^2$

Combining like terms

$= -2a^3+15a^2+6a^2+6ab^2-45a-18b^2\\=-2a^3+21a^2+6ab^2-45a-18b^2$

Hence,

The product if a-3 and -2a^2+15a+6b^2 is: $-2a^3+21a^2+6ab^2-45a-18b^2$

Keywords: Expressions, product

Learn more about expressions at:

#LearnwithBrainly

3 0

4 years ago

William estimated √140 by placing a point on the number line below. Which is true about his estimate? please guys I need this du

garik1379 [7]

Answer:

Step-by-step explanation:

Familiarize yourself with perfect squares in the neighborhood of 140:

10^2 = 100

11^2 = 121

12^2 = 144

Note that 140 is much closer to the perfect square than it is to the perfect square 121. The value of √140 must lie closer to 12 than to 11.

Place a point on the number line about 3/4 of the way from 11 to 12.

7 0

4 years ago

The square root of a negative number, such as StartRoot negative 144 EndRoot, is undefined. Explain why the square root of –x, S

monitta

Part A

The reason why the (√(-x)) is not necessarily undefined, is because x is a placeholder, such that x can take on a negative value for which (-x) is a positive number, therefore, √(-x) = √(+ve number) is a defined real number.

Part B

The domain is x ≤ 0

The range is f(x) ≥ 0

<h3>What is Real Number?</h3>

A real number is a value of a continuous quantity that can represent a distance along a line.

Here, The given and required information:

Given that √(-144) = Undefined, why is √(-x) not necessarily undefined

The given function, f(x) = √(-x)

Part A

The square root of a real number with a negative value is an imaginary number

The square root of a real number with a positive value or zero, is a real number

√(144) = ±12

A variable, x, is an input value of a function that is a quantity place holder in the function which is a function argument

The given function is f(x) = √(-x)

Where;

x = An argument of the function

When x ≤ 0, such that x is a negative real number or zero, we have;

x = R⁻ or 0

Therefore;

-x= -R⁻ or 0 = R⁺ or 0

-x = R⁺

From which we get;

f(-x)= √(-x) = √(R⁺) = Defined

f(-x) = √(R⁺) ≥ 0 The range of the function is f(x) ≥ 0

An example, when x = -16, we have;

-x = -(-16) = 16

√(-x) √(16) = 4 (Defined)

Part B;

Thee domain where the function is defined is where x = -R⁻, x ≤ 0

The output of the function f(x) is defined which is the range = f(x) ≥ 0

Thus, the reason why the √(-x) is not necessarily undefined, is because the value of x can represent a negative real number or zero.

Learn more about real numbers here;

brainly.com/question/17201233

#SPJ1

6 0

2 years ago

4(5x-3)=48<br><img src="https://tex.z-dn.net/?f=4%285x%20-%203%29%3D%2048" id="TexFormula1" title="4(5x - 3)= 48" alt="4(5x - 3)

krek1111 [17]

Hello, My Dear Friend!

Solution for $4(5x-3)=48$ equation:

<span>Simplifying:
</span> $4(5x + -3) = 48$ <span>

</span><span>Reorder the terms:
</span> $4(-3 + 5x) = 48$
$(-3 * 4 + 5x * 4) = 48$
$(-12 + 20x) = 48$ <span>

</span><span>Solving:
</span> $-12 + 20x = 48$ <span>

</span><span>Solving for variable 'x'.
</span>Move all terms containing x to the left, all other terms to the right.
<span>Add '12' to each side of the equation.
</span> $-12 + 12 + 20x = 48 + 12$ <span>

</span>Combine like terms: $-12 + 12 = 0$ $0 + 20x = 48 + 12$
$20x = 48 + 12$ <span>

</span><span>Combine like terms: </span> $48 + 12 = 60$
$20x = 60$ <span>

</span><span>Divide each side by '20'.
</span> $x = 3$ <span>

</span><span>Simplifying:
</span> $x = 3$ <span>

Therefore, THAT is The Answer!^^^

</span>=====> x = 3 <=====

I Hope my answer has come to your Help. Thank you for posting your question here in $Brainly.$ We hope to answer more of your questions and inquiries soon. Have a nice day ahead! :)

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5 0

4 years ago