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VARVARA [1.3K]
4 years ago
14

Consider the following statement: If Paul is older than Bill and Fred is younger than Bill, then Bill's age is between Paul's an

d Fred's. Write the To Prove statement:
Mathematics
2 answers:
vovangra [49]4 years ago
8 0

Answer & Step-by-step explanation:

To prove statement: Prove that Bill's age is between Paul's and Fred's. The to prove statement of a conditional in found in the conclusion of the conditional.

<h2>___________________________________________________</h2><h2><em>I AM ALWAYS HAPPY TO HELP :)</em></h2>
sveticcg [70]4 years ago
7 0

Explanation:

It is given than Paul is older than Bill.

Let age of Bill= x years, as x is a  natural number.

Then, age of Paul = (x + a) Years, where a is any natural number.

And, Fred is younger than Bill.

So, age of Fred= x - k, where k is any natural number.

So, if we arrange the ages of Fred, Bill and Paul, their ages would be

Fred < Bill < Paul

x-k < x < x+a

Hence, we can say that , Paul is eldest, and Fred is smallest member between  three.

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Step-by-step explanation:

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Captain Umaima has a ship, the H.M.S. Khan. The ship is two furlongs from the dread pirate Nadia and her merciless band of thiev
brilliants [131]

Answer:

\frac{9}{35}.

Step-by-step explanation:

We have been given that captain Umaima has probability 3/7 of hitting the pirate ship.

The pirate only has one good eye, so she hits the Captain's ship with probability 2/5.

The probability that pirate misses the captain's ship will be:

\text{Probability that pirate misses captain's ship}=\text{1-probability that pirate hits captain's ship}    

\text{Probability that pirate misses captain's ship}=1-\frac{2}{5}  

\text{Probability that pirate misses captain's ship}=\frac{5}{5}-\frac{2}{5}

\text{Probability that pirate misses captain's ship}=\frac{5-2}{5}    

\text{Probability that pirate misses captain's ship}=\frac{3}{5}  

So the probability that pirate misses captain's ship will be 3/5.

Since both events are independent, so by the multiplication rule of probability we will get,

\text{Probability that captain hits the pirate ship, but pirate misses captain's ship}=\frac{3}{7}\times \frac{3}{5}

\text{Probability that captain hits the pirate ship, but pirate misses captain's ship}=\frac{3*3}{7*5}

\text{Probability that captain hits the pirate ship, but pirate misses captain's ship}=\frac{9}{35}

Therefore, the probability that the Captain hits the pirate ship, but the pirate misses will be \frac{9}{35}.

3 0
4 years ago
The approximate number of bicycles in the United States in the year 2007 was 14,000,000. How can this number be expressed in sci
elena-s [515]

Answer:

1.4*10^7

Step-by-step explanation:

we have

14,000,000

Remember that

14,000,000=1.4(10,000,000)

and

10,000,000=1*10^7=10^7

substitute

14,000,000=1.4*10^7

8 0
3 years ago
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