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4 years ago

What is and integer greater than -12 and less than -2

Mathematics

1 answer:

rewona [7]4 years ago

8 0

Answer:

Step-by-step explanation:

1 because it's less than 2

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A fair coin is flipped twelve times. What is the probability of the coin landing tails up exactly nine times?

seraphim [82]

Answer:

$P\left(E\right)=\frac{55}{1024}$

Step-by-step explanation:

Given that a fair coin is flipped twelve times.

It means the number of possible sequences of heads and tails would be:

2¹² = 4096

We can determine the number of ways that such a sequence could contain exactly 9 tails is the number of ways of choosing 9 out of 12, using the formula

$nCr=\frac{n!}{r!\left(n-r\right)!}$

Plug in n = 12 and r = 9

$=\frac{12!}{9!\left(12-9\right)!}$

$=\frac{12!}{9!\cdot \:3!}$

$=\frac{12\cdot \:11\cdot \:10}{3!}$ ∵ $\frac{12!}{9!}=12\cdot \:11\cdot \:10$

$=\frac{1320}{6}$ ∵ $3!\:=\:3\times 2\times 1=6$

$=220$

Thus, the probability will be:

$P\left(E\right)=\frac{n\left(E\right)}{n\left(S\right)}$

$=\frac{220}{4096}$

$=\frac{55}{1024}$

Thus, the probability of the coin landing tails up exactly nine times will be:

$P\left(E\right)=\frac{55}{1024}$

4 0

3 years ago

Find the length of side x in simplest radical form with a rational denominator.

labwork [276]

Answer:

Step-by-step explanation:

given that both angles are the same, it is an equilateral right triangle.

we can use Pythagorean's theorem

$a^2 + b^2 = c^2\\(\sqrt{6})^2+(\sqrt{6})^2= c^2\\ 12 = c^2 \\c = \sqrt{12} = \sqrt{4*3} = 2\sqrt{3}$

3 0

3 years ago

Here is my math question: Simplify 5x^2-3x-5. I know the answer is 5x^2-13x+3, I don't know how to get to that answer because I

SIZIF [17.4K]

Here you go. I hope you understand. Ask if you don't.

5 0

3 years ago

Which is the answer?

Airida [17]

I believe the answer is D :)

5 0

3 years ago

I need these answers with explanations pleaaase!

Lerok [7]

Dear Whomever wrote this question,

I am so very sorry to inform you that I do not know this answer, yet, there are other sites such as quizlet that will show you the answers for the entire quiz so you do not have to look up each and every one individually. Please make me the Brainliest!

7 0

3 years ago