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3 years ago

A proof in which you assume the opposite of what you want to prove is called what?

Mathematics

1 answer:

Taya2010 [7]3 years ago

4 0

Proof by contradiction...........

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At a raffle, 1500 tickets are sold at $2 each. There are four prizes given for $500, $250, $150, and $75. You buy one ticket. Us

wolverine [178]

Answer:

The expected value of every ticket is a loss of $ 1.35

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Number of tickets sold at the raffle = 1,500

Price of each ticket = $ 2

Total prizes = 1 * $ 500 + 1 * $ 250 + 1 * $ 150 + 1 * $ 75

2. Use a probability distribution table to calculate the expected value of your gain. Your expected value is_____ ?

Let's answer the question using a probability distribution for the gains, this way:

Probability of 1st prize of $ 498 (500 - ticket) = 1/1,500
Probability of 2nd prize of $ 248 (250 - ticket) = 1/1,500
Probability of 3rd prize of $ 148 (150 - ticket) = 1/1,500
Probability of 4th prize of $ 73 (75 - ticket) = 1/1,500
Probability of losing $ 2 (ticket) = 1,496/1,500

Now, we calculate the mean for all the tickets (winners and non-winners), this way:

Expected value = [(1,496 * -2) + (1 * 498) + (1 * 248) + ( 1 * 148) + ( 1 * 73)]/1,500

Expected value = [- 2,992 +498 + 248 + 148 + 73)/1,500

Expected value = -2,025/1,500 = - 1,35

The expected value of every ticket is a loss of $ 1.35

8 0

4 years ago

How many five card hands can be dealt from a standard deck of 52 cards?

Law Incorporation [45]

Answer:

Step-by-step explanation:

7 0

3 years ago

Find the slope of each line. PLEASE HELP!!! 15 PTS!!!

leva [86]

Answer:

im pretty sure its -3/2

Step-by-step explanation:

since you have to do rise over run and your falling 3 so its a negative 3 and you always run right so its run 2 so then its -3/2 if its not that sorry

5 0

2 years ago

The ages of three siblings are all consecutive

ankoles [38]

Answer:

12 year old is the youngest sibling

Step-by-step explanation:

Given: The ages of three siblings are all consecutive integers.

The sum of sibling´s age is 39.

Now, finding the age of youngest sibling.

Lets assume the age of youngest sibling be "x"

As given, The ages of three siblings are all consecutive integers.

∴ Age of 2nd sibling will be $(x+1)$

Age of 3rd sibling will be $(x+2)$

next, forming an equation for the sum of sibling´s age.

⇒ $x+(x+1)+(x+2)= 39$

Opening the parenthesis

⇒ $x+x+1+x+2= 39$

⇒ $3x+3= 39$

Subtracting both side by 3

⇒ $3x= 39-3$

⇒ $3x= 36$

Dividing both side by 3

⇒ $x= \frac{36}{3}$

∴ x= 12

Subtituting the value of x to find the age of other sibling

∴Youngest sibling age= 12 years

2nd sibling age= 13 years

3rd sibling age= 14 years

Hence, The youngest sibling is 12 years old.

3 0

3 years ago

Jonah's house and his grandparents' house are 8,046.72 meters apart. What is this distance in miles?

Elis [28]

Answer:

5 miles

Step-by-step explanation:

1 meter is 0.000621371 mile

So you multiply

8,046.72 x 0.000621371 = 5

3 0

3 years ago