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zvonat [6]
3 years ago
6

Find the probability that at least one molecule in the breath you just took was shared with caesar’s last breath, and give a sim

ple approximation in terms of
e.
Mathematics
1 answer:
Alika [10]3 years ago
6 0

<span>Let </span>N<span><span>= 10^</span><span>44 </span><span>and </span>n</span><span><span>= 10^</span>22</span>.

 

Each molecule that we breathed in has probability (N-n)<span><span>/N </span><span>of not being from Caesar’s last breath. Also, the molecules breathed in are independent if it is assumed that sampling with replacement is performed. So the probability of at least one molecule being shared with Caesar’s last breath is:</span></span>

<span> 1</span><span><span>-[</span>(</span>N-n<span><span>)^</span><span>n/</span><span>N^</span><span>n] </span>= </span>

= 1-[(10^44-10^22)^(10^22) / 10^44^(10^22)]

Simplifying will result in:

= 1- (1/e)

 

<span>This is about a 63% chance!</span>

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How would you translate this situation below into an algebraic expression?
Natasha2012 [34]
Dime value: $0.10
Nickel value: $0.05

For this word problem, you are asked to create an algebraic expression (an equation) for the unknown variables. 

Now, we know that a dime is worth $0.10 or 10 cents and a nickel is worth $0.05 or 5 cents. So, all you would have to do is create an equation that takes those values into account. 
5n + 10d

Your algebraic expression would be B. 5n + 10d

I hope this helps!
5 0
3 years ago
The ratio of the number of cups of blue paint to the number of cups of red paint that Lara mixed to make a shade of purple paint
Vikki [24]

Answer:

a

Generally given that the number of cups of blue to that of red paint is 3: 1 then the Lara mixed 3 cups of blue paint with 1 cup of red paint

b

The number is  x=  \frac{1}{3}

c

The price is P  = \$ 8

Step-by-step explanation:

From the question we are told that

   The ratio of  the number of cups of blue paint to the number of cups of red paint is  r  =  3: 1

Generally given that the number of cups of blue to that of red paint is 3: 1 then the Lara mixed 3 cups of blue paint with 1 cup of red paint

Given that  1 cup of  red paint  =>   3 cups of blue paint

                 x cup of  red paint  =>  1  cup of  blue paint

So

         x=  \frac{1 *  1}{3}

=>      x=  \frac{1}{3}

Generally the unit price of a cup of blue paint is mathematically represented as

     P  =  \frac{48}{6}

=>  P  = \$ 8

     

4 0
3 years ago
Help please thank you
Firlakuza [10]

Answer:

(0,-3)

Step-by-step explanation:

7 0
3 years ago
Please help me i make my questions worth more, and give brainliest....
REY [17]

Step-by-step explanation:

(a-b)^2=a^2-2ab+b^2

X^2-2(X)(5)+5^2

Ans C

X^2-10X+25

7 0
3 years ago
Which of the following shows the Distributive Property of Multiplication of 4 x 24?
Nana76 [90]
The answer is (4x20) + (4x4) which equals 96
5 0
2 years ago
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